Chen, Heng-Yu; Dorey, Nick; Petunin, Kirill Moduli space and wall-crossing formulae in higher-rank gauge theories. (English) Zbl 1306.81087 J. High Energy Phys. 2011, No. 11, Paper No. 020, 27 p. (2011). MSC: 81T13 81T60 81R12 81T16 14D21 PDFBibTeX XMLCite \textit{H.-Y. Chen} et al., J. High Energy Phys. 2011, No. 11, Paper No. 020, 27 p. (2011; Zbl 1306.81087) Full Text: DOI arXiv
Klyushin, D. A.; Lyashko, S. I.; Nomirovskii, D. A.; Petunin, Yu. I.; Semenov, V. V. Generalized solutions of operator equations and extreme elements. (English) Zbl 1240.47002 Springer Optimization and Its Applications 55. Berlin: Springer (ISBN 978-1-4614-0618-1/hbk; 978-1-4614-0619-8/ebook). xix, 202 p. (2011). Reviewer: Robert Plato (Siegen) MSC: 47-02 49-02 47A50 47N20 65J10 47J05 65J15 49J27 54E15 PDFBibTeX XMLCite \textit{D. A. Klyushin} et al., Generalized solutions of operator equations and extreme elements. Berlin: Springer (2011; Zbl 1240.47002) Full Text: DOI
Chen, Heng-Yu; Petunin, Kirill Notes on wall crossing and instanton in compactified gauge theory with matter. (English) Zbl 1291.81237 J. High Energy Phys. 2010, No. 10, Paper No. 106, 27 p. (2010). MSC: 81T13 81T60 35C08 14D21 81T15 81T16 81R12 PDFBibTeX XMLCite \textit{H.-Y. Chen} and \textit{K. Petunin}, J. High Energy Phys. 2010, No. 10, Paper No. 106, 27 p. (2010; Zbl 1291.81237) Full Text: DOI arXiv
Chen, Heng-Yu; Dorey, Nick; Petunin, Kirill Wall crossing and instantons in compactified gauge theory. (English) Zbl 1290.81060 J. High Energy Phys. 2010, No. 6, Paper No. 024, 25 p. (2010). MSC: 81T13 81T60 14D21 81R12 PDFBibTeX XMLCite \textit{H.-Y. Chen} et al., J. High Energy Phys. 2010, No. 6, Paper No. 024, 25 p. (2010; Zbl 1290.81060) Full Text: DOI arXiv
Petunin, Yu. I.; Klyushin, D. A.; Golubeva, K. M. Computer citogenetic diagnostics of breast cancer and fibrocystic mastopathy with the areas of buccal epithelium. (Ukrainian. English summary) Zbl 1224.62140 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 1, 138-143 (2010). MSC: 62P10 92C50 68U99 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 1, 138--143 (2010; Zbl 1224.62140)
Petunin, Yu. I.; Klyushin, D. A.; Golubeva, E. N.; Naleskina, L. A.; Kunskaya, L. N.; Chekhun, V. F. Group-membership recognition methods based on confidence boundaries and their testing in clinical oncology. (English. Russian original) Zbl 1185.62190 Cybern. Syst. Anal. 45, No. 4, 517-527 (2009); translation from Kibern. Sist. Anal. 2009, No. 4, 19-30 (2009). MSC: 62P10 62H20 62J05 65C60 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Cybern. Syst. Anal. 45, No. 4, 517--527 (2009; Zbl 1185.62190); translation from Kibern. Sist. Anal. 2009, No. 4, 19--30 (2009) Full Text: DOI
Andrushkiw, Roman I.; Klyushin, Dmitry D.; Petunin, Yuriy I. A new test for unimodality. (English) Zbl 1193.62078 Theory Stoch. Process. 14(30), No. 1, 1-6 (2008). MSC: 62G10 PDFBibTeX XMLCite \textit{R. I. Andrushkiw} et al., Theory Stoch. Process. 14(30), No. 1, 1--6 (2008; Zbl 1193.62078)
Petunin, Yu. I.; Semeiko, M. G. Mixed empirical stochastic point processes in compact metric spaces. II. (Ukrainian, English) Zbl 1164.60350 Teor. Jmovirn. Mat. Stat. 75, 121-126 (2006); translation in Theory Probab. Math. Stat. 75, 19-145 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G15 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{M. G. Semeiko}, Teor. Ĭmovirn. Mat. Stat. 75, 121--126 (2006; Zbl 1164.60350); translation in Theory Probab. Math. Stat. 75, 19--145 (2007) Full Text: Link
Petunin, Yu. I.; Semejko, M. G. Mixed empirical random point processes in compact metric spaces. I. (Ukrainian, English) Zbl 1150.60381 Teor. Jmovirn. Mat. Stat. 74, 98-107 (2006); translation in Theory Probab. Math. Stat. 74, 113-123 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{M. G. Semejko}, Teor. Ĭmovirn. Mat. Stat. 74, 98--107 (2006; Zbl 1150.60381); translation in Theory Probab. Math. Stat. 74, 113--123 (2007) Full Text: Link
Petunin, Yu. I.; Djomina, E. A.; Klyushin, D. A.; Savkina, M. Yu. Spline-regression estimation of the influence of exposure dose on cancer probability. (English. Russian original) Zbl 1113.62137 Cybern. Syst. Anal. 42, No. 3, 449-455 (2006); translation from Kibern. Sist. Anal. 42, No. 3, 168-176 (2006). MSC: 62P10 65D07 62G08 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Cybern. Syst. Anal. 42, No. 3, 449--455 (2006; Zbl 1113.62137); translation from Kibern. Sist. Anal. 42, No. 3, 168--176 (2006) Full Text: DOI
Petunin, Yu. I.; Klyushin, D. A.; Kulik, G. I.; Yurchenko, O. V.; Todor, I. N.; Chekhun, V. F. Stratification analysis of morphometric indices of populations of cancer cells with the phenotype of drug resistance. (English. Russian original) Zbl 1102.62121 Cybern. Syst. Anal. 41, No. 6, 924-931 (2005); translation from Kibern. Sist. Anal. 2005, No. 6, 158-167 (2005). MSC: 62P10 92C50 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Cybern. Syst. Anal. 41, No. 6, 924--931 (2005; Zbl 1102.62121); translation from Kibern. Sist. Anal. 2005, No. 6, 158--167 (2005) Full Text: DOI
Klyushin, Dmytro A.; Petunin, Yurij I. Exact confidence limits for unknown probability in classical and generalized Bernoulli models. (Ukrainian. English summary) Zbl 1101.62320 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 2, 241-247 (2005). MSC: 62F25 PDFBibTeX XMLCite \textit{D. A. Klyushin} and \textit{Y. I. Petunin}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2005, No. 2, 241--247 (2005; Zbl 1101.62320)
Petunin, Yu. I.; Klyushin, D. A. A structural approach to solving the 6th Hilbert problem. (Ukrainian, English) Zbl 1097.60001 Teor. Jmovirn. Mat. Stat. 71, 145-159 (2004); translation in Theory Probab. Math. Stat. 71, 165-179 (2005). Reviewer: A. D. Borisenko (Kyïv) MSC: 60A05 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{D. A. Klyushin}, Teor. Ĭmovirn. Mat. Stat. 71, 145--159 (2004; Zbl 1097.60001); translation in Theory Probab. Math. Stat. 71, 165--179 (2005) Full Text: Link
Klyushin, D. A.; Petunin, Yu. I. A nonparametric population equivalence test based on a measure of proximity between samples. (English. Russian original) Zbl 1039.62036 Ukr. Math. J. 55, No. 2, 181-198 (2003); translation from Ukr. Mat. Zh. 55, No. 2, 147-163 (2003). Reviewer: A. N. Kochubei (Kyïv) MSC: 62G10 62G15 PDFBibTeX XMLCite \textit{D. A. Klyushin} and \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 55, No. 2, 147--163 (2003; Zbl 1039.62036); translation from Ukr. Mat. Zh. 55, No. 2, 147--163 (2003) Full Text: DOI
Romanov, A. V.; Orel, V. E.; Petunin, Yu. I. On the statistical analysis of the chaotic curves of mechanoemission of water and a sodium chloride solution. (Ukrainian. English summary) Zbl 1075.62665 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 4, 58-63 (2003). MSC: 62P35 PDFBibTeX XMLCite \textit{A. V. Romanov} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 4, 58--63 (2003; Zbl 1075.62665)
Petunin, Yu. I.; Ryabichev, V. L. The method with flattening for solving a system of linear algebraic equations. (Ukrainian) Zbl 0983.15004 Kraj. Zadachi Dyfer. Rivnyan’ 5, 300-304 (2000). Reviewer: A.D.Borisenko (Kyïv) MSC: 15A06 65F05 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. L. Ryabichev}, Kraĭ. Zadachi Dyfer. Rivnyan' 5, 300--304 (2000; Zbl 0983.15004)
Petunin, Yu. I.; Klyushin, D. A.; Ganina, K. P.; Boroday, N. V.; Andrushkiw, R. I. Computer-aided diagnosis of breast cancer. II: Tests and experiments. (English) Zbl 1420.62459 İstatistik 2, No. 2, 87-105 (1999). MSC: 62P10 92C50 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., İstatistik 2, No. 2, 87--105 (1999; Zbl 1420.62459) Full Text: Link
Petunin, Yu. I.; Tupko, N. P. Estimates of covariance coefficient of random variables with unknown mathematical expectations. (Ukrainian. English summary) Zbl 1055.62516 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 250-254 (1999). MSC: 62F10 62H12 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. P. Tupko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 3, 250--254 (1999; Zbl 1055.62516)
Petunin, Yu. I.; Ryabichev, V. L. On a method of calculation of absolute value of the determinant. (Ukrainian. English summary) Zbl 0979.65037 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 2, 295-302 (1999). MSC: 65F40 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. L. Ryabichev}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 2, 295--302 (1999; Zbl 0979.65037)
Petunin, Yu. I.; Tupko, N. P. Estimation of covariance coefficients of random variables with known mathematical expectations. (Ukrainian. English summary) Zbl 1074.62507 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 2, 289-294 (1999). MSC: 62F10 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. P. Tupko}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1999, No. 2, 289--294 (1999; Zbl 1074.62507)
Petunin, Yu. I.; Tupko, N. P. Theory of quadratic estimates of variance. (English. Russian original) Zbl 1025.62500 Ukr. Math. J. 51, No. 9, 1370-1385 (1999); translation from Ukr. Mat. Zh. 51, No. 9, 1217-1231 (1999). MSC: 62F10 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. P. Tupko}, Ukr. Mat. Zh. 51, No. 9, 1217--1231 (1999; Zbl 1025.62500); translation from Ukr. Mat. Zh. 51, No. 9, 1217--1231 (1999)
Rublev, B. V.; Petunin, Yu. I. The smooth metric in the class of plane figures with piecewise-convex and concave boundary. II. (English. Russian original) Zbl 0971.68184 Cybern. Syst. Anal. 35, No. 2, 271-278 (1999); translation from Kibern. Sist. Anal. 1999, No. 2, 111-120 (1999). MSC: 68U05 65D17 PDFBibTeX XMLCite \textit{B. V. Rublev} and \textit{Yu. I. Petunin}, Cybern. Syst. Anal. 35, No. 2, 271--278 (1999; Zbl 0971.68184); translation from Kibern. Sist. Anal. 1999, No. 2, 111--120 (1999) Full Text: DOI
Rublev, B. V.; Petunin, Yu. I. The smooth metric in the class of plane figures with piecewise-convex and concave boundary. I. (English. Russian original) Zbl 0944.68186 Cybern. Syst. Anal. 35, No. 1, 118-127 (1999); translation from Kibern. Sist. Anal. 1999, No. 1, 125-136 (1999). MSC: 68U05 PDFBibTeX XMLCite \textit{B. V. Rublev} and \textit{Yu. I. Petunin}, Cybern. Syst. Anal. 35, No. 1, 118--127 (1999; Zbl 0944.68186); translation from Kibern. Sist. Anal. 1999, No. 1, 125--136 (1999) Full Text: DOI
Klyushin, Dmitry A.; Petunin, Yuriy I.; Bairamov, Ismihan G. Test of heterogeneity of general population. (English) Zbl 1420.62201 İstatistik 1, No. 3, 19-29 (1998). MSC: 62G10 PDFBibTeX XMLCite \textit{D. A. Klyushin} et al., İstatistik 1, No. 3, 19--29 (1998; Zbl 1420.62201) Full Text: Link
Petunin, Yu. I.; Semejko, M. G. Stationary random point processes with respect to the action of transformation groups in bounded spaces. (English. Ukrainian original) Zbl 0939.60032 Theory Probab. Math. Stat. 58, 139-149 (1999); translation from Teor. Jmovirn. Mat. Stat. 58, 128-138 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60G55 60G10 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{M. G. Semejko}, Teor. Ĭmovirn. Mat. Stat. 58, 128--138 (1998; Zbl 0939.60032); translation from Teor. Jmovirn. Mat. Stat. 58, 128--138 (1998)
Rublev, B. V.; Petunin, Yu. I. Minimum-area ellipse containing a finite set of points. II. (English. Russian original) Zbl 0938.52002 Ukr. Math. J. 50, No. 8, 1253-1261 (1998); translation from Ukr. Mat. Zh. 50, No. 8, 1098-1105 (1998). Reviewer: O.A.Voina (Kyïv) MSC: 52A10 14H52 60J65 PDFBibTeX XMLCite \textit{B. V. Rublev} and \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 50, No. 8, 1098--1105 (1998; Zbl 0938.52002); translation from Ukr. Mat. Zh. 50, No. 8, 1098--1105 (1998) Full Text: DOI
Rublev, B. V.; Petunin, Yu. I. Minimum-area ellipse containing a finite set of points. I. (English. Russian original) Zbl 0938.52001 Ukr. Math. J. 50, No. 7, 1115-1124 (1998); translation from Ukr. Mat. Zh. 50, No. 7, 980-988 (1998). Reviewer: O.A.Voina (Kyïv) MSC: 52A10 14H52 60J65 PDFBibTeX XMLCite \textit{B. V. Rublev} and \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 50, No. 7, 980--989 (1998; Zbl 0938.52001); translation from Ukr. Mat. Zh. 50, No. 7, 980--988 (1998) Full Text: DOI
Klyushin, D. A.; Petunin, Yu. I.; Naleskina, L. A.; Korovin, S. I. Retrospective determination of the factor importance in the model of linear regression and calculation of confidence limits for the survival rate of patients suffering from malignant melanoma. (Russian) Zbl 0953.62115 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 7, 26-31 (1998). MSC: 62P10 62J05 62N99 PDFBibTeX XMLCite \textit{D. A. Klyushin} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 7, 26--31 (1998; Zbl 0953.62115)
Petunin, Yu. I.; Savkina, M. Yu. A new concept of a generalized solution of operator equations in a Banach space. (English. Russian original) Zbl 0985.47008 J. Math. Sci., New York 102, No. 6, 3803-3808 (2000); translation from Obchisl. Prikl. Mat. 81, 93-99 (1997). MSC: 47A50 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{M. Yu. Savkina}, Obchisl. Prikl. Mat. 81, 93--99 (1997; Zbl 0985.47008); translation from Obchisl. Prikl. Mat. 81, 93--99 (1997)
Petunin, Yuri I.; Kljushin, Dmitry A.; Andrushkiw, Roman I. Nonlinear algorithm of pattern recognition for computer-aided diagnosis of breast cancer. (English) Zbl 0891.92019 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5431-5436 (1997). MSC: 92C50 68U99 68T10 PDFBibTeX XMLCite \textit{Y. I. Petunin} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5431--5436 (1997; Zbl 0891.92019) Full Text: DOI
Petunin, Yu. I.; Rublev, B. V. Pattern recognition with the help of square discriminant functions. (Russian) Zbl 0928.93015 Obchisl. Prikl. Mat. 80, 90-105 (1996). MSC: 93B30 68T10 93B40 93B17 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{B. V. Rublev}, Obchisl. Prikl. Mat. 80, 90--105 (1996; Zbl 0928.93015)
Petunin, Yu. I. On a certain concept of a generalized solution for operator equations on a Banach space. (Russian) Zbl 0891.47009 Ukr. Mat. Zh. 48, No. 9, 1286-1290 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 47A50 47A20 15A06 PDFBibTeX XMLCite \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 48, No. 9, 1286--1290 (1996; Zbl 0891.47009) Full Text: DOI
Petunin, Yu. I.; Rublev, B. V. Pattern recognition with the help of quadratic discriminant functions. (English. Russian original) Zbl 0932.93022 J. Math. Sci., New York 97, No. 2, 3959-3967 (1999); translation from Obchisl. Prikl. Mat. 80, 90-105 (1996). MSC: 93B30 68T10 93B40 93B17 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{B. V. Rublev}, Obchisl. Prikl. Mat. 80, 90--105 (1996; Zbl 0932.93022); translation from Obchisl. Prikl. Mat. 80, 90--105 (1996)
Petunin, Yu. I. One approach to the problem of constructing statistical tests. (English. Ukrainian original) Zbl 0938.62053 Theory Probab. Math. Stat. 54, 135-142 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 129-136 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 62G10 62F03 62H15 PDFBibTeX XMLCite \textit{Yu. I. Petunin}, Teor. Ĭmovirn. Mat. Stat. 54, 129--136 (1996; Zbl 0938.62053); translation from Teor. Jmovirn. Mat. Stat. 54, 129--136 (1996)
Petunin, Yu. I. On the concept of generalized solution of operator equations on Banach space. (English. Russian original) Zbl 0932.47008 Ukr. Math. J. 48, No. 9, 1460-1464 (1996); translation from Ukr. Mat. Zh. 48, No. 9, 1286-1290 (1996). MSC: 47A50 47A20 15A06 PDFBibTeX XMLCite \textit{Yu. I. Petunin}, Ukr. Math. J. 48, No. 9, 1460--1464 (1996; Zbl 0932.47008); translation from Ukr. Mat. Zh. 48, No. 9, 1286--1290 (1996) Full Text: DOI
Kuk, Yu. V.; Petunin, Yu. I. Testing hypotheses by using optimal statistical criteria. II. (English. Russian original) Zbl 0847.62011 Ukr. Math. J. 46, No. 5, 539-549 (1994); translation from Ukr. Mat. Zh. 46, No. 5, 506-515 (1994). MSC: 62F03 62C05 PDFBibTeX XMLCite \textit{Yu. V. Kuk} and \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 46, No. 5, 506--515 (1994; Zbl 0847.62011); translation from Ukr. Mat. Zh. 46, No. 5, 506--515 (1994) Full Text: DOI
Kuk, Yu. V.; Petunin, Yu. I. Testing hypotheses by using optimal statistical criteria. I. (English. Russian original) Zbl 0832.62004 Ukr. Math. J. 46, No. 4, 396-407 (1994); translation from Ukr. Mat. Zh. 46, No. 4, 378-388 (1994). MSC: 62C05 62C10 62C20 62F03 PDFBibTeX XMLCite \textit{Yu. V. Kuk} and \textit{Yu. I. Petunin}, Ukr. Math. J. 46, No. 4, 396--407 (1994; Zbl 0832.62004); translation from Ukr. Mat. Zh. 46, No. 4, 378--388 (1994) Full Text: DOI
Petunin, Yu. I.; Matvejchuk, S. A. Hypothesis testing with the help of statistical tests using a procedure for rejecting decisions. (English. Russian original) Zbl 0842.62012 Russ. Acad. Sci., Dokl., Math. 49, No. 3, 507-510 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 301-303 (1994). MSC: 62F03 62C99 62G10 62A01 91B06 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{S. A. Matvejchuk}, Russ. Acad. Sci., Dokl., Math. 49, No. 3, 301--303 (1994; Zbl 0842.62012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 301--303 (1994)
Kuk, Yu. V.; Petunin, Yu. I. Testing hypotheses with the help of the best statistical criteria. (English. Russian original) Zbl 0863.62011 Theory Probab. Math. Stat. 49, 89-95 (1994); translation from Teor. Jmovirn. Mat. Stat. 49, 127-136 (1993). MSC: 62F03 62G10 PDFBibTeX XMLCite \textit{Yu. V. Kuk} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 49, 1 (1993; Zbl 0863.62011); translation from Teor. Jmovirn. Mat. Stat. 49, 127--136 (1993)
Kuk, Yu. V.; Petunin, Yu. I. The unbiasedness of optimal statistical criteria. (English. Ukrainian original) Zbl 0844.62020 Theory Probab. Math. Stat. 48, 61-67 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 89-99 (1993). MSC: 62F03 62C99 62G10 PDFBibTeX XMLCite \textit{Yu. V. Kuk} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0844.62020); translation from Teor. Jmovirn. Mat. Stat. 48, 89--99 (1993)
Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. Structure of homothetic linearly separable sets in \(n\)-dimensional Euclidean space. III. (English. Russian original) Zbl 0875.52003 Cybern. Syst. Anal. 28, No. 4, 525-533 (1992); translation from Kibern. Sist. Anal. 1992, No. 4, 43-53 (1992). MSC: 52A20 PDFBibTeX XMLCite \textit{B. V. Rublev} et al., Cybern. Syst. Anal. 28, No. 4, 525--533 (1992; Zbl 0875.52003); translation from Kibern. Sist. Anal. 1992, No. 4, 43--53 (1992) Full Text: DOI
Borodyanskij, N. I.; Matvejchuk, S. A.; Petunin, Yu. I. Statistical tests for classification in two populations. (English. Russian original) Zbl 0875.62271 Cybern. Syst. Anal. 28, No. 2, 287-291 (1992); translation from Kibern. Sist. Anal. 1992, No. 2, 148-153 (1992). MSC: 62H30 68T05 PDFBibTeX XMLCite \textit{N. I. Borodyanskij} et al., Cybern. Syst. Anal. 28, No. 2, 287--291 (1992; Zbl 0875.62271); translation from Kibern. Sist. Anal. 1992, No. 2, 148--153 (1992) Full Text: DOI
Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. Structure of homothetic linearly separable sets in \(n\)-dimensional euclidean space. II. (English. Russian original) Zbl 0875.52001 Cybern. Syst. Anal. 28, No. 2, 180-188 (1992); translation from Kibern. Sist. Anal. 1992, No. 2, 23-33 (1992). MSC: 52A20 PDFBibTeX XMLCite \textit{B. V. Rublev} et al., Cybern. Syst. Anal. 28, No. 2, 180--188 (1992; Zbl 0875.52001); translation from Kibern. Sist. Anal. 1992, No. 2, 23--33 (1992) Full Text: DOI
Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. Structure of homothetic linearly separable sets in \(n\)-dimensional Euclidean space. I. (English. Russian original) Zbl 0875.52002 Cybern. Syst. Anal. 28, No. 1, 1-11 (1992); translation from Kibern. Sist. Anal. 1992, No. 1, 3-15 (1992). MSC: 52A20 PDFBibTeX XMLCite \textit{B. V. Rublev} et al., Cybern. Syst. Anal. 28, No. 1, 1--11 (1992; Zbl 0875.52002); translation from Kibern. Sist. Anal. 1992, No. 1, 3--15 (1992) Full Text: DOI
Petunin, Yu. I.; Matveĭchuk, S. A. Order statistic for testing the hypothesis of identical distribution function in two populations. (English. Russian original) Zbl 0835.62023 J. Math. Sci., New York 71, No. 5, 2701-2711 (1994). MSC: 62F03 62G10 62G30 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{S. A. Matveĭchuk}, Vychisl. Prikl. Mat. 73, 94--107 (1992; Zbl 0835.62023) Full Text: DOI
Petunin, Yu. I.; Matvejchuk, S. A. Order criteria for testing the hypothesis on equality of the distribution functions for two general populations. (Russian) Zbl 0801.62021 Vychisl. Prikl. Mat. 73, 94-107 (1992). Reviewer: A.Mogulskij (Novosibirsk) MSC: 62F03 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{S. A. Matvejchuk}, Vychisl. Prikl. Mat. 73, 94--107 (1992; Zbl 0801.62021)
Bajramov, I. G.; Petunin, Yu. I. Statistical tests based on training samples. (English. Russian original) Zbl 0748.62025 Cybernetics 27, No. 3, 408-413 (1991); translation from Kibernetika 1991, No. 3, 74-77 (1991). Reviewer: M.Fox (East Lansing) MSC: 62G10 62G30 PDFBibTeX XMLCite \textit{I. G. Bajramov} and \textit{Yu. I. Petunin}, Cybernetics 27, No. 3, 408--413 (1991; Zbl 0748.62025); translation from Kibernetika 1991, No. 3, 74--77 (1991) Full Text: DOI
Petunin, Yu. I.; Mamunya, L. A.; Min’ko, A. A.; Kuritsyn, Yu. G.; Yakut, L. I. Confidence limits containing the underlying distributed mass of the values of the general population. I. (English. Russian original) Zbl 0788.62041 Theory Probab. Math. Stat. 44, 113-116 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 115-118 (1991). MSC: 62G15 60E15 62G30 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Theory Probab. Math. Stat. 44, 113--116 (1991; Zbl 0788.62041); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 115--118 (1991)
Matvejchuk, S. A.; Petunin, Yu. I. A generalization of Bernoulli’s model occurring in order statistics. II. (English. Russian original) Zbl 0758.62026 Ukr. Math. J. 43, No. 6, 728-734 (1991); translation from Ukr. Mat. Zh. 43, No. 6, 779-786 (1991). MSC: 62G10 62G30 62G20 PDFBibTeX XMLCite \textit{S. A. Matvejchuk} and \textit{Yu. I. Petunin}, Ukr. Math. J. 43, No. 6, 728--734 (1991; Zbl 0758.62026); translation from Ukr. Mat. Zh. 43, No. 6, 779--786 (1991) Full Text: DOI
Petunin, Yu. I.; Semejko, N. G. Random cap processes and generalized Wicksell problem on the surface of a sphere. (English) Zbl 0770.60009 Serdica 17, No. 2-3, 81-91 (1991). MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Serdica 17, No. 2--3, 81--91 (1991; Zbl 0770.60009)
Matvejchuk, S. A.; Petunin, Yu. I. A generalization of the Bernoulli model occurring in order statistics. I. (English. Russian original) Zbl 0725.62048 Ukr. Math. J. 42, No. 4, 459-466 (1990); translation from Ukr. Mat. Zh. 42, No. 4, 518-528 (1990). MSC: 62G30 62G20 PDFBibTeX XMLCite \textit{S. A. Matvejchuk} and \textit{Yu. I. Petunin}, Ukr. Math. J. 42, No. 4, 459--466 (1990; Zbl 0725.62048); translation from Ukr. Mat. Zh. 42, No. 4, 518--528 (1990) Full Text: DOI
Min’ko, A. A.; Petunin, Yu. I. Convergence of the least squares method in the uniform metric. (English. Russian original) Zbl 0723.65008 Sib. Math. J. 31, No. 2, 279-288 (1990); translation from Sib. Mat. Zh. 31, No. 2(180), 111-122 (1990). MSC: 65D10 41A10 41A25 PDFBibTeX XMLCite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Sib. Math. J. 31, No. 2, 279--288 (1990; Zbl 0723.65008); translation from Sib. Mat. Zh. 31, No. 2(180), 111--122 (1990) Full Text: DOI
Bajramov, I. G.; Petunin, Yu. I. Structure of invariant confidence intervals containing the main distributed mass. (English. Russian original) Zbl 0713.62051 Theory Probab. Appl. 35, No. 1, 15-26 (1990); translation from Teor. Veroyatn. Primen. 35, No. 1, 15-26 (1990). Reviewer: W.-D.Richter MSC: 62G15 62G30 PDFBibTeX XMLCite \textit{I. G. Bajramov} and \textit{Yu. I. Petunin}, Theory Probab. Appl. 35, No. 1, 15--26 (1990; Zbl 0713.62051); translation from Teor. Veroyatn. Primen. 35, No. 1, 15--26 (1990) Full Text: DOI Link
Petunin, Yu. I.; Semejko, N. G. A random process of segments on the two-dimensional Euclidean sphere. II. (English. Russian original) Zbl 0709.60010 Theory Probab. Math. Stat. 41, 105-113 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 88-96 (1989). MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Theory Probab. Math. Stat. 41, 105--113 (1990; Zbl 0709.60010); translation from Teor. Veroyatn. Mat. Stat., Kiev 41, 88--96 (1989)
Min’ko, A. A.; Petunin, Yu. I. Convergence of the method of least squares in a uniform metric. (Russian) Zbl 0704.65007 Sib. Mat. Zh. 31, No. 2(180), 111-122 (1990). Reviewer: S.Grzegórski MSC: 65D10 41A10 41A25 PDFBibTeX XMLCite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Sib. Mat. Zh. 31, No. 2(180), 111--122 (1990; Zbl 0704.65007)
Petunin, Yu. I.; Semejko, N. G. Computation of the first-order moment measure of a random process of segments on the two dimensional Euclidean sphere. (English. Russian original) Zbl 0749.60008 Theory Probab. Math. Stat. 42, 137-144 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 114-122 (1990). Reviewer: W.Weil (Karlsruhe) MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Theory Probab. Math. Stat. 42, 137--144 (1990; Zbl 0749.60008); translation from Teor. Veroyatn. Mat. Stat., Kiev 42, 114--122 (1990)
Petunin, Yu. I.; Savkin, V. I. Continuity of maps inverse to quadratic operator polynomials. (English. Russian original) Zbl 0813.47080 Ukr. Math. J. 41, No. 11, 1302-1309 (1989); translation from Ukr. Mat. Zh. 41, No. 11, 1512-1521 (1989). MSC: 47H99 15A69 47A99 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. I. Savkin}, Ukr. Math. J. 41, No. 11, 1302--1309 (1989; Zbl 0813.47080); translation from Ukr. Mat. Zh. 41, No. 11, 1512--1521 (1989) Full Text: DOI
Petunin, Yu. I.; Semejko, N. G. A random process of segments on the two-dimensional Euclidean sphere. I. (English. Russian original) Zbl 0713.60017 Theory Probab. Math. Stat. 39, 129-135 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 107-113 (1988). MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Theory Probab. Math. Stat. 39, 129--135 (1989; Zbl 0713.60017); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 107--113 (1988)
Petunin, Yu. I.; Semejko, N. G. The stochastic process of segments on the two-dimensional Euclidean sphere. II. (Russian) Zbl 0696.60016 Teor. Veroyatn. Mat. Stat., Kiev 41, 88-96 (1989). Reviewer: Yu.I.Petunin MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Teor. Veroyatn. Mat. Stat., Kiev 41, 88--96 (1989; Zbl 0696.60016)
Rublev, B. V.; Petunin, Yu. I.; Litvinko, P. G. The structure of homothetic linearly separable sets in \(n\)-dimensional Euclidean space. (English. Russian original) Zbl 0667.52004 Sov. Math., Dokl. 38, No. 1, 127-130 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 3, 555-557 (1988). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 68T10 52B45 46C05 PDFBibTeX XMLCite \textit{B. V. Rublev} et al., Sov. Math., Dokl. 38, No. 1, 127--130 (1989; Zbl 0667.52004); translation from Dokl. Akad. Nauk SSSR 301, No. 3, 555--557 (1988)
Bajramov, I. G.; Petunin, Yu. I. Invariant confidence intervals for the main mass of values from the distribution in a population. (English. Russian original) Zbl 0793.62028 J. Sov. Math. 66, No. 5, 2534-2538 (1993); translation from Vychisl. Prikl. Mat., Kiev 65, 112-117 (1988). MSC: 62G15 62F25 PDFBibTeX XMLCite \textit{I. G. Bajramov} and \textit{Yu. I. Petunin}, J. Sov. Math. 66, No. 5, 1 (1988; Zbl 0793.62028); translation from Vychisl. Prikl. Mat., Kiev 65, 112--117 (1988)
Bajramov, I. G.; Petunin, Yu. I. Invariant confidence intervals for the main distributed mass of values of a general population. (Russian) Zbl 0722.62037 Vychisl. Prikl. Mat., Kiev 65, 112-117 (1988). MSC: 62G15 62F25 PDFBibTeX XMLCite \textit{I. G. Bajramov} and \textit{Yu. I. Petunin}, Vychisl. Prikl. Mat. 65, 112--117 (1988; Zbl 0722.62037)
Petunin, Yu. I.; Savkin, V. I. Convergence generated by analytic functionals and isomorphism of algebras of analytic functions. (English. Russian original) Zbl 0679.46031 Ukr. Math. J. 40, No. 6, 676-679 (1988); translation from Ukr. Mat. Zh. 40, No. 6, 799-803 (1988). MSC: 46F15 32A45 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. I. Savkin}, Ukr. Math. J. 40, No. 6, 676--679 (1988; Zbl 0679.46031); translation from Ukr. Mat. Zh. 40, No. 6, 799--803 (1988) Full Text: DOI
Petunin, Yu. I.; Semejko, N. G. The stochastic process of segments on the two-dimensional Euclidean sphere. I. (Russian) Zbl 0665.60019 Teor. Veroyatn. Mat. Stat., Kiev 39, 107-113 (1988). Reviewer: Y.I.Petunin MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Teor. Veroyatn. Mat. Stat., Kiev 39, 107--113 (1988; Zbl 0665.60019)
Petunin, Yu. I.; Savkin, V. I. Convergence generated by analytic functionals and isomorphism of algebras of analytic functions. (Russian) Zbl 0663.46038 Ukr. Mat. Zh. 40, No. 6, 799-803 (1988). Reviewer: L.Janos MSC: 46F15 32A45 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. I. Savkin}, Ukr. Mat. Zh. 40, No. 6, 799--803 (1988; Zbl 0663.46038)
Min’ko, A. A.; Petunin, Yu. I. Unimodality of a noncentral \(\chi ^ 2\)-distribution. (English. Russian original) Zbl 0658.62011 Theory Probab. Math. Stat. 36, 91-96 (1988); translation from Teor. Veroyatn. Mat. Stat. 36, 82-88 (1987). MSC: 62E10 62E15 PDFBibTeX XMLCite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 36, 91--96 (1988; Zbl 0658.62011); translation from Teor. Veroyatn. Mat. Stat. 36, 82--88 (1987)
Min’ko, A. A.; Petunin, Yu. I. Unimodality of the non-central \(\chi ^ 2\)-distribution. (Russian) Zbl 0624.62023 Teor. Veroyatn. Mat. Stat., Kiev 36, 82-88 (1987). MSC: 62E10 62E15 PDFBibTeX XMLCite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Teor. Veroyatn. Mat. Stat., Kiev 36, 82--88 (1987; Zbl 0624.62023)
Petunin, Yu. I.; Shul’deshov, G. A. Calculating the perimeter of a plane figure from its discretized image. (English. Russian original) Zbl 0641.65018 Cybernetics 22, 149-155 (1986); translation from Kibernetika 1986, No. 2, 1-7 (1986). MSC: 65D99 68T10 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{G. A. Shul'deshov}, Cybernetics 22, 149--155 (1986; Zbl 0641.65018); translation from Kibernetika 1986, No. 2, 1--7 (1986) Full Text: DOI
Madreimov, I.; Petunin, Yu. I. Construction of confidence limits, with the help of order statistics, for the bulk of the distribution of a general population. (English. Russian original) Zbl 0635.62034 Theory Probab. Math. Stat. 32, 57-68 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 53-66 (1985). MSC: 62G15 62G30 PDFBibTeX XMLCite \textit{I. Madreimov} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 32, 57--68 (1986; Zbl 0635.62034); translation from Teor. Veroyatn. Mat. Stat. 32, 53--66 (1985)
Petunin, Yu. I.; Semejko, N. G. Random point processes with independent marking. (English. Russian original) Zbl 0608.60055 Sov. Math., Dokl. 33, 785-788 (1986); translation from Dokl. Akad. Nauk SSSR 288, 823-827 (1986). Reviewer: P.Weiß MSC: 60G55 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{N. G. Semejko}, Sov. Math., Dokl. 33, 785--788 (1986; Zbl 0608.60055); translation from Dokl. Akad. Nauk SSSR 288, 823--827 (1986)
Pasike, E. Eh.; Petunin, Yu. I.; Savkin, V. I. Continuous bijective mappings in topological and Banach manifolds. (English. Russian original) Zbl 0779.46009 J. Sov. Math. 58, No. 3, 286-290 (1992); translation from Vychisl. Prikl. Mat., Kiev 57, 117-124 (1985). MSC: 46A30 PDFBibTeX XML Full Text: DOI
Pasike, E. Eh.; Petunin, Yu. I.; Savkin, V. I. Continuous bijective mappings in topological and Banach manifolds. (Russian) Zbl 0635.46004 Vychisl. Prikl. Mat., Kiev 57, 117-124 (1985). MSC: 46A30 PDFBibTeX XMLCite \textit{E. Eh. Pasike} et al., Vychisl. Prikl. Mat. 57, 117--124 (1985; Zbl 0635.46004)
Vysochanskij, D. F.; Petunin, Yu. I. A generalization of the Gauss inequality for unimodal distributions. (English) Zbl 0594.60022 Theory Probab. Math. Stat. 31, 29-34 (1985). MSC: 60E15 60E07 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 31, 29--34 (1985; Zbl 0594.60022)
Petunin, Yu. I.; Pogrebnoj, V. D. Questions on imbedding quotient spaces and Banach algebras. (English. Russian original) Zbl 0591.46011 Ukr. Math. J. 37, 75-80 (1985); translation from Ukr. Mat. Zh. 37, No. 1, 87-93 (1985). Reviewer: M.Berkolaiko MSC: 46B99 46H05 46E35 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{V. D. Pogrebnoj}, Ukr. Math. J. 37, 75--80 (1985; Zbl 0591.46011); translation from Ukr. Mat. Zh. 37, No. 1, 87--93 (1985) Full Text: DOI
Vysochanskij, D. F.; Petunin, Yu. I. Improvement of the unilateral 3 \(\sigma\)-rule for unimodal distributions. (Russian. English summary) Zbl 0564.60022 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 6-8 (1985). MSC: 60E99 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 1, 6--8 (1985; Zbl 0564.60022)
Bajdak, G. I.; Braverman, M. Sh.; Petunin, Yu. I. Characterization of the Hilbert space \(L_ 2(\Omega,{\mathfrak A},\mu)\) in terms of the additivity of the measure of dispersion. (English) Zbl 0582.46028 Ukr. Math. J. 36, 507-511 (1984). MSC: 46E30 PDFBibTeX XMLCite \textit{G. I. Bajdak} et al., Ukr. Math. J. 36, 507--511 (1984; Zbl 0582.46028) Full Text: DOI
Vysochanskij, D. F.; Petunin, Yu. I. Generalization of Gauss inequality for unimodal distributions. (Russian) Zbl 0575.60021 Teor. Veroyatn. Mat. Stat. 31, 26-31 (1984). Reviewer: Z.Jurek MSC: 60E15 60E05 PDFBibTeX XML
Petunin, Yu. I.; Timoshenko, Ya. G.; Petunina, M. Yu. Test for the identification of a population in case of a finite class of alternative hypotheses. (Russian. English summary) Zbl 0573.62040 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 6, 29-32 (1984). MSC: 62G10 62G15 PDFBibTeX XMLCite \textit{Yu. I. Petunin} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 6, 29--32 (1984; Zbl 0573.62040)
Bajdak, G. I.; Braverman, M. Sh.; Petunin, Yu. I. Characterization of the Hilbert space \(L_ 2(\Omega,{\mathfrak A},\mu)\) in terms of the additivity of the dispersion measure. (Russian) Zbl 0562.46019 Ukr. Mat. Zh. 36, No. 6, 683-688 (1984). Reviewer: S.S.Kutateladze MSC: 46E30 PDFBibTeX XMLCite \textit{G. I. Bajdak} et al., Ukr. Mat. Zh. 36, No. 6, 683--688 (1984; Zbl 0562.46019)
Petunin, Yu. I.; Tarnopol’skaya, S. D. Lower estimation for the norm of a linear operator acting in a minimal scale. (Russian) Zbl 0556.46042 Vychisl. Prikl. Mat., Kiev 52, 30-38 (1984). MSC: 46M35 46A45 PDFBibTeX XMLCite \textit{Yu. I. Petunin} and \textit{S. D. Tarnopol'skaya}, Vychisl. Prikl. Mat. 52, 30--38 (1984; Zbl 0556.46042)
Bajdak, G. I.; Braverman, M. Sh.; Petunin, Yu. I. Additivity of the variance is a characteristic property of the Hilbert space \(L_ 2(\Omega,{\mathfrak A},\mu)\). (English. Russian original) Zbl 0532.46011 Funct. Anal. Appl. 17, 218-220 (1983); translation from Funkts. Anal. Prilozh. 17, No. 3, 66-68 (1983). Reviewer: A.V.Bukhvalov MSC: 46E30 60A10 PDFBibTeX XMLCite \textit{G. I. Bajdak} et al., Funct. Anal. Appl. 17, 218--220 (1983; Zbl 0532.46011); translation from Funkts. Anal. Prilozh. 17, No. 3, 66--68 (1983) Full Text: DOI
Madreimov, I.; Petunin, Yu. I. A characterization of the uniform distribution with the aid of order statistics. (English) Zbl 0527.62015 Theory Probab. Math. Stat. 27, 105-110 (1983). MSC: 62E10 62G30 PDFBibTeX XMLCite \textit{I. Madreimov} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 27, 105--110 (1983; Zbl 0527.62015)
Lyashko, I. I.; Beloshitskij, P. V.; Petunin, Yu. I.; Yakut, L. I. Investigation of heat generation in the case of cooling an organism under the conditions of changed gas medium. (Russian) Zbl 0523.92005 Mathematical methods in biology, Proc. II. Repub. Conf., Kiev 1983, 74-87 (1983). MSC: 92Cxx PDFBibTeX XML
Vysochanskij, D. F.; Petunin, Yu. I. A remark on the paper ”Justification of the \(3\sigma\)-rule for unimodal distributions”. (English) Zbl 0521.60020 Theory Probab. Math. Stat. 27, 27-29 (1983). MSC: 60E15 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 27, 27--29 (1983; Zbl 0521.60020)
Kuritsyn, Yu. G.; Petunin, Yu. I. Classification of stationary stochastic processes. (English) Zbl 0519.60041 Ukr. Math. J. 34, 307-310 (1983). MSC: 60G35 60G10 62M09 PDFBibTeX XMLCite \textit{Yu. G. Kuritsyn} and \textit{Yu. I. Petunin}, Ukr. Math. J. 34, 307--310 (1983; Zbl 0519.60041) Full Text: DOI
Vysochanskij, D. F.; Petunin, Yu. I. Some properties of unimodal distributions. (English) Zbl 0513.60025 Theory Probab. Math. Stat. 26, 15-21 (1983). MSC: 60E05 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Theory Probab. Math. Stat. 26, 15--21 (1983; Zbl 0513.60025)
Min’ko, A. A.; Petunin, Yu. I.; Stognij, B. S. Confidence bounds for the extremal value of a target function. (English) Zbl 0524.62037 Ukr. Math. J. 33, 346-350 (1982). MSC: 62F25 62E15 62N99 PDFBibTeX XMLCite \textit{A. A. Min'ko} et al., Ukr. Math. J. 33, 346--350 (1982; Zbl 0524.62037) Full Text: DOI
Vysochanskij, D. F.; Petunin, Yu. I. On a Gauss inequality for unimodal distributions. (English) Zbl 0505.60025 Theory Probab. Appl. 27, 359-361 (1982). MSC: 60E15 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Theory Probab. Appl. 27, 359--361 (1982; Zbl 0505.60025) Full Text: DOI
Kuritsyn, Yu. G.; Petunin, Yu. I. On a certain classification of stationary random processes. (Russian) Zbl 0498.60045 Ukr. Mat. Zh. 34, 374-377 (1982). MSC: 60G35 60G10 62M09 PDFBibTeX XMLCite \textit{Yu. G. Kuritsyn} and \textit{Yu. I. Petunin}, Ukr. Mat. Zh. 34, 374--377 (1982; Zbl 0498.60045) Full Text: DOI
Madreimov, I.; Petunin, Yu. I. A characterization of the uniform distribution by the aid of order statistics. (Russian) Zbl 0494.62017 Teor. Veroyatn. Mat. Stat. 27, 96-102 (1982). MSC: 62E10 62G30 PDFBibTeX XML
Vysochanskij, D. F.; Petunin, Yu. I. A remark to the article: ”A justification of the \(3\sigma\) rule for unimodal distributions.”. (Russian) Zbl 0494.60016 Teor. Veroyatn. Mat. Stat. 27, 26-27 (1982). MSC: 60E15 PDFBibTeX XML
Krejn, S. G.; Petunin, Yu. I.; Semenov, E. M. Interpolation of linear operators. Transl. from the Russian by J. Szuecs, ed. by Lev J. Leifman. (English) Zbl 0493.46058 Translations of Mathematical Monographs. Vol. 54. Providence, R.I.: American Mathematical Society (AMS). XII, 375 p. $ 71.20 (1982). MSC: 46M35 46-02 46E35 46E30 PDFBibTeX XML
Anisimov, V. V.; Vysochanskij, D. F.; Petunin, Yu. I. On a characteristic property of uniform distribution. (Russian) Zbl 0492.60019 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 3, 3-4 (1982). MSC: 60E05 PDFBibTeX XMLCite \textit{V. V. Anisimov} et al., Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 3, 3--4 (1982; Zbl 0492.60019)
Vysochanskij, D. F.; Petunin, Yu. I. On a Gauss inequality for the unimodal distributions. (Russian) Zbl 0488.60029 Teor. Veroyatn. Primen. 27, 339-341 (1982). MSC: 60E15 PDFBibTeX XMLCite \textit{D. F. Vysochanskij} and \textit{Yu. I. Petunin}, Teor. Veroyatn. Primen. 27, 339--341 (1982; Zbl 0488.60029)
Vysochanskij, D. F.; Petunin, Yu. I. Some properties of one-vertex distributions. (Russian) Zbl 0485.60011 Teor. Veroyatn. Mat. Stat. 26, 16-23 (1982). MSC: 60E05 PDFBibTeX XML
Petunin, Yu. I. Application of the theory of stochastic processes in biology and medicine. (Prilozhenie teorii sluchajnykh protsessov v biologii i meditsine). (Russian) Zbl 0521.92001 Kiev: ”Naukova Dumka”. 320 p. R. 3.70 (1981). MSC: 92-01 60G35 PDFBibTeX XML
Min’ko, A. A.; Petunin, Yu. I. Mathematical modeling of short-term memory. (English. Russian original) Zbl 0477.92006 Cybernetics 17, 287-298 (1981); translation from Kibernetika 1981, No. 2, 119-129 (1981). MSC: 92Cxx 94C99 92F05 94C15 PDFBibTeX XMLCite \textit{A. A. Min'ko} and \textit{Yu. I. Petunin}, Cybernetics 17, 287--298 (1981; Zbl 0477.92006); translation from Kibernetika 1981, No. 2, 119--129 (1981) Full Text: DOI
Krokhin, V. V.; Petunin, Yu. I. The generalized method of least squares for the estimation of coefficients in the regression model with random perturbations of arguments. II. (Russian) Zbl 0474.62064 Vychisl. Prikl. Mat., Kiev 44, 117-121 (1981). MSC: 62J05 62P20 62F12 PDFBibTeX XMLCite \textit{V. V. Krokhin} and \textit{Yu. I. Petunin}, Vychisl. Prikl. Mat. 44, 117--121 (1981; Zbl 0474.62064)
Krokhin, V. V.; Petunin, Yu. I. The generalized method of least squares for the estimation of coefficients in the regression model with random perturbations of arguments. (Russian) Zbl 0474.62063 Vychisl. Prikl. Mat., Kiev 43, 36-46 (1981). MSC: 62J05 62P20 PDFBibTeX XMLCite \textit{V. V. Krokhin} and \textit{Yu. I. Petunin}, Vychisl. Prikl. Mat. 43, 36--46 (1981; Zbl 0474.62063)
Min’ko, A. A.; Petunin, Yu. I.; Stognij, B. S. Confidence boundaries for the extreme value of a target function. (Russian) Zbl 0472.62023 Ukr. Mat. Zh. 33, 453-458 (1981). MSC: 62E15 62F25 PDFBibTeX XMLCite \textit{A. A. Min'ko} et al., Ukr. Mat. Zh. 33, 453--458 (1981; Zbl 0472.62023)