Zinger, A. A. On unlinking of continuous statistics of normal sample. (English) Zbl 1380.62055 Math. Methods Stat. 26, No. 2, 154-158 (2017). MSC: 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger}, Math. Methods Stat. 26, No. 2, 154--158 (2017; Zbl 1380.62055) Full Text: DOI
Zinger, A. A. On reconstruction of distributions by the translated moments of linear statistics. (English) Zbl 0948.62034 J. Math. Sci., New York 83, No. 3, 453-460 (1997). Reviewer: E.Xekalaki (Athens) MSC: 62H05 62E10 62E15 PDFBibTeX XMLCite \textit{A. A. Zinger}, J. Math. Sci., New York 83, No. 3, 453--460 (1997; Zbl 0948.62034) Full Text: DOI
Zinger, A. A. Wigner quasi-probability densities and characterization of the Gaussian distribution. (English. Russian original) Zbl 1126.62314 J. Math. Sci., New York 93, No. 3, 341-348 (1999); translation from Zap. Nauchn. Semin. POMI 228, 142-153 (1996). MSC: 62E10 60E05 PDFBibTeX XMLCite \textit{A. A. Zinger}, J. Math. Sci., New York 93, No. 3, 1 (1996; Zbl 1126.62314); translation from Zap. Nauchn. Semin. POMI 228, 142--153 (1996) Full Text: DOI
Zinger, A. A.; Kagan, A. M. A least squares estimate, nonquadratic losses, and Gaussian distributions. (English. Russian original) Zbl 0744.62039 Theory Probab. Appl. 36, No. 1, 115-123 (1991); translation from Teor. Veroyatn. Primen. 36, No. 1, 34-41 (1991). MSC: 62F10 62J99 62J05 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, Theory Probab. Appl. 36, No. 1, 115--123 (1991; Zbl 0744.62039); translation from Teor. Veroyatn. Primen. 36, No. 1, 34--41 (1991) Full Text: DOI
Zinger, A. A.; Kagan, A. M. The least squares estimates, nonquadratic losses and Gaussian distribution. (Russian) Zbl 0725.62024 Teor. Veroyatn. Primen. 36, No. 1, 34-41 (1991). Reviewer: N.Leonenko (Kiev) MSC: 62F10 62J99 62J05 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, Teor. Veroyatn. Primen. 36, No. 1, 34--41 (1991; Zbl 0725.62024)
Zinger, A. A.; Klebanov, L. B. Condition for the constancy of regression of a polynomial statistic on a sample mean. (English. Russian original) Zbl 0836.62048 J. Math. Sci., New York 68, No. 4, 469-474 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Inst. Steklova 184, 106-114 (1990). MSC: 62J02 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{L. B. Klebanov}, J. Math. Sci., New York 68, No. 4, 469--474 (1990; Zbl 0836.62048); translation from Zap. Nauchn. Semin. Leningr. Otd. Inst. Steklova 184, 106--114 (1990) Full Text: DOI
Zinger, A. A.; Klebanov, L. B. On a condition of constancy of regression of a polynomial statistic on sample mean. (Russian) Zbl 0732.62062 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 106-114 (1990). MSC: 62J02 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{L. B. Klebanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 184, 106--114 (1990; Zbl 0732.62062) Full Text: EuDML
Klebanov, L. B.; Zinger, A. A. Characterization of distributions: Problems, methods, applications. (English) Zbl 0737.62007 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 611-617 (1990). Reviewer: R.Yanushkevichius (Vilnius) MSC: 62E10 60E05 PDFBibTeX XMLCite \textit{L. B. Klebanov} and \textit{A. A. Zinger}, in: The low density limit and the quantum Poisson process. . 611--617 (1990; Zbl 0737.62007)
Zinger, A. A.; Kagan, A. M. Condition of constancy of the regression for monomials of independent random variables. (English. Russian original) Zbl 0728.62064 J. Sov. Math. 47, No. 5, 2708-2713 (1989); translation from Probl. Ustojch. Stokhasticheskikh Modelej 1987, 40-45 (1987). MSC: 62J02 62J99 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, J. Sov. Math. 47, No. 5, 2708--2713 (1989; Zbl 0728.62064); translation from Probl. Ustojch. Stokhasticheskikh Modelej 1987, 40--45 (1987) Full Text: DOI
Zinger, A. A.; Kagan, A. M. Analytic theory of linear forms of independent random variables. (English. Russian original) Zbl 0667.60018 J. Sov. Math. 44, No. 4, 447-453 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 153, 37-44 (1986). MSC: 60E05 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, J. Sov. Math. 44, No. 4, 447--453 (1989; Zbl 0667.60018); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 153, 37--44 (1986) Full Text: DOI
Zinger, A. A.; Klebanov, L. B.; Yanushkyavichyus, R. V. Stability estimations in G. Polya’s theorem. (Russian. English original) Zbl 0661.62011 Lit. Mat. Sb. 27, No. 3, 481-488 (1987). MSC: 62E10 60E05 PDFBibTeX XMLCite \textit{A. A. Zinger} et al., Litov. Mat. Sb. 27, No. 3, 481--488 (1987; Zbl 0661.62011)
Kagan, A. M.; Zinger, A. A. Contribution to the analytic theory of linear forms of independent random variables. (English) Zbl 0606.62011 Stability problems for stochastic models, Proc. 9th Int. Semin., Varna/Bulg. 1985, Lect. Notes Math. 1233, 11-22 (1987). MSC: 62E10 60E05 PDFBibTeX XML
Zinger, A. A.; Kagan, A. M. On the asymptotic theory of linear forms of independent random variables. (Russian. English summary) Zbl 0602.60022 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 153, 37-44 (1986). MSC: 60E05 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 153, 37--44 (1986; Zbl 0602.60022) Full Text: EuDML
Zinger, A. A.; Yanushkyavichyus, R. V. Stability of a characterization theorem of Yu. V. Linnik. (English) Zbl 0594.62012 J. Sov. Math. 34, 1467-1473 (1986). MSC: 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{R. V. Yanushkyavichyus}, J. Sov. Math. 34, 1467--1473 (1986; Zbl 0594.62012) Full Text: DOI
Zinger, A. A.; Klebanov, L. B.; Melamed, I. A. Characterization of probability laws by the properties of the identical distributions of linear forms with random coefficients. (English) Zbl 0587.62034 J. Sov. Math. 33, 734-744 (1986). MSC: 62E10 60E10 60E07 60F05 PDFBibTeX XMLCite \textit{A. A. Zinger} et al., J. Sov. Math. 33, 734--744 (1986; Zbl 0587.62034) Full Text: DOI
Zinger, A. A.; Yanushkyavichus, R. V. A theorem of characterization by equal distribution of statistics and the robustness of this characterization. (English) Zbl 0581.62012 J. Sov. Math. 32, 24-37 (1986). MSC: 62E10 60E05 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{R. V. Yanushkyavichus}, J. Sov. Math. 32, 24--37 (1986; Zbl 0581.62012) Full Text: DOI
Kagan, A. M.; Zinger, A. A. A refinement of Darmois-Skitovitch and Heyde theorems. (English) Zbl 0575.62015 Stability problems for stochastic models, Proc. 8th Int. Semin., Uzhgorod/USSR 1984, Lect. Notes Math. 1155, 81-94 (1985). MSC: 62E15 PDFBibTeX XML
Zinger, A. A.; Yanushkyavichyus, R. V. On a theorem of characterization by identical distribution of statistics, and its stability. (English) Zbl 0573.62012 Sel. Transl. Math. Stat. Probab. 16, 93-107 (1985). MSC: 62E10 60E05 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{R. V. Yanushkyavichyus}, Sel. Transl. Math. Stat. Probab. 16, 93--107 (1985; Zbl 0573.62012)
Zinger, A. A.; Klebanov, L. B.; Melamed, I. A. Characterization of probability laws by properties for linear forms with random coefficients to be identically distributed. (Russian. English summary) Zbl 0553.62014 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 136, 58-73 (1984). Reviewer: J.Galambos MSC: 62E10 60E10 60E07 60F05 PDFBibTeX XMLCite \textit{A. A. Zinger} et al., Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 136, 58--73 (1984; Zbl 0553.62014) Full Text: EuDML
Zinger, A. A.; Yanushkyavichyus, R. V. Stability estimates in characterization by identically distributed linear statistics. (English) Zbl 0563.62010 Lith. Math. J. 23, 274-280 (1983). MSC: 62E10 60E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{R. V. Yanushkyavichyus}, Lith. Math. J. 23, 274--280 (1983; Zbl 0563.62010) Full Text: DOI
Zinger, A. A.; Yanushkyavichyus, R. V. Estimates of stability of characterization by identical distributions of linear statistics. (Russian. English summary) Zbl 0535.62020 Litov. Mat. Sb. 23, No. 3, 39-47 (1983). Reviewer: J.G.Székely MSC: 62E10 60E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{R. V. Yanushkyavichyus}, Litov. Mat. Sb. 23, No. 3, 39--47 (1983; Zbl 0535.62020)
Kagan, A. M.; Melamed, I. A.; Zinger, A. A. A class of estimators of a location parameter in presence of a nuisance scale parameter. (English) Zbl 0483.62022 Statistics and probability: Essays in Honor of C. R. Rao, 359-368 (1982). MSC: 62F12 PDFBibTeX XML
Zinger, A. A.; Yanushkyavichyus, R. V. Stability of a characterization theorem of Yu. V. Linnik. (Russian) Zbl 0572.62016 Problems of stability of stochastic models, Proc. Semin., Moskva 1981, 24-30 (1981). Reviewer: Nijolė Kalinauskaitė (Vilnius) MSC: 62E10 PDFBibTeX XML
Zinger, A. A. An epsilon-admissibility condition on the sample mean as an estimator of a location parameter in the presence of a nuisance scale parameter. (English) Zbl 0485.62013 J. Sov. Math. 16, 1355-1364 (1981). MSC: 62E10 62C15 62F10 PDFBibTeX XMLCite \textit{A. A. Zinger}, J. Sov. Math. 16, 1355--1364 (1981; Zbl 0485.62013) Full Text: DOI
Zinger, A. A. Question of stability estimation in the problem of reconstructing the type of a distribution. (English) Zbl 0485.62012 J. Sov. Math. 17, 2207-2217 (1981). MSC: 62E10 62E99 PDFBibTeX XMLCite \textit{A. A. Zinger}, J. Sov. Math. 17, 2207--2217 (1981; Zbl 0485.62012) Full Text: DOI
Zinger, A. A. On a characterization of the multi-dimensional normal law by the independence of linear statistics. (English) Zbl 0495.62058 Theory Probab. Appl. 24, 388-392 (1980). MSC: 62H05 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger}, Theory Probab. Appl. 24, 388--392 (1980; Zbl 0495.62058) Full Text: DOI
Zinger, A. A.; Yanushkyavichus, R. V. On a theorem for the characterization by means of identically distributed statistics, and its stability. (Russian) Zbl 0471.62015 Stability problems for stochastic models, Proc. Semin., Moscow 1980, Inst. Syst. Stud., 32-46 (1980). MSC: 62E10 60E05 PDFBibTeX XML
Zinger, A. Variance estimation in partially systematic sampling. (English) Zbl 0427.62006 J. Am. Stat. Assoc. 75, 206-211 (1980). MSC: 62D05 PDFBibTeX XMLCite \textit{A. Zinger}, J. Am. Stat. Assoc. 75, 206--211 (1980; Zbl 0427.62006) Full Text: DOI
Zinger, A. A. On the question of stability estimation in the problem of reconstructing the type of distribution. (Russian) Zbl 0448.62012 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 87, 7-17 (1979). MSC: 62E99 PDFBibTeX XMLCite \textit{A. A. Zinger}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 87, 7--17 (1979; Zbl 0448.62012) Full Text: EuDML
Zinger, A. A. On the characterization of multidimensional normal law by the independence of linear statistics. (Russian) Zbl 0399.62045 Teor. Veroyatn. Primen. 24, 381-385 (1979). MSC: 62H05 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger}, Teor. Veroyatn. Primen. 24, 381--385 (1979; Zbl 0399.62045)
Zinger, A. A.; Kagan, A. M. The sample mean as an estimator of the location parameter in the case of a Laplacian loss function and a nuisance scale parameter. (English) Zbl 0396.62021 J. Sov. Math. 9, 850-862 (1978). MSC: 62F10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, J. Sov. Math. 9, 850--862 (1978; Zbl 0396.62021) Full Text: DOI
Zinger, A. A. On the characterization of the normal law by identically distributed linear statistics. (English) Zbl 0409.62010 Sankhyā, Ser. A 39, 232-242 (1977). MSC: 62E10 60E10 PDFBibTeX XMLCite \textit{A. A. Zinger}, Sankhyā, Ser. A 39, 232--242 (1977; Zbl 0409.62010)
Zinger, A. A.; Kagan, A. M. On the problem of reconstruction of the type of a distribution. (English. Russian original) Zbl 0369.62016 Theory Probab. Appl. 21(1976), 389-392 (1977); translation from Teor. Veroyatn. Primen. 21, 398-401 (1976). MSC: 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, Theory Probab. Appl. 21, 389--392 (1976; Zbl 0369.62016); translation from Teor. Veroyatn. Primen. 21, 398--401 (1976) Full Text: DOI
Zinger, A. A. A condition of \(\varepsilon\)-admissibility of the sample mean as an estimator of the location parameter in presence of the nuisance scale parameter. (Russian) Zbl 0345.62022 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 61, 25-37 (1976). MSC: 62F10 62C15 PDFBibTeX XMLCite \textit{A. A. Zinger}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 61, 25--37 (1976; Zbl 0345.62022) Full Text: EuDML
Zinger, A. A.; Kagan, A. M. Sample mean as an estimator of the location parameter in case of the Laplacian loss function, in presence of the nuisance scale parameter. (Russian) Zbl 0361.62023 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 43(1974), 15-29 (1975). MSC: 62F10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{A. M. Kagan}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 43, 15--29 (1975; Zbl 0361.62023) Full Text: EuDML
Zinger, A. A. On samples with identically distributed linear statistics. (English. Russian original) Zbl 0361.62012 Theory Probab. Appl. 20, 655-660 (1975); translation from Teor. Veroyatn. Primen. 20, 668-672 (1975). MSC: 62E15 PDFBibTeX XMLCite \textit{A. A. Zinger}, Theory Probab. Appl. 20, 655--660 (1975; Zbl 0361.62012); translation from Teor. Veroyatn. Primen. 20, 668--672 (1975) Full Text: DOI
Kagan, A. M.; Zinger, A. A. Sample mean as an estimator of the location parameter in presence of the nuisance scale parameter. (English) Zbl 0291.62019 Sankhyā, Ser. A 35, 447-454 (1973). MSC: 62E10 62C15 62F10 PDFBibTeX XMLCite \textit{A. M. Kagan} and \textit{A. A. Zinger}, Sankhyā, Ser. A 35, 447--454 (1973; Zbl 0291.62019)
Zinger, A. A.; Linnik, Yu. V. Nonlinear statistics and random linear forms. (English) Zbl 0266.62010 Proc. Steklov Inst. Math. 111(1970), 25-44 (1972). MSC: 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{Yu. V. Linnik}, Proc. Steklov Inst. Math. 111, 25--44 (1972; Zbl 0266.62010)
Kagan, A. M.; Zinger, A. A. Sample mean as an estimator of location parameter case of nonquadratic functions. (English) Zbl 0274.62008 Sankhyā, Ser. A 33, 351-358 (1971). MSC: 62C15 62F10 62E10 PDFBibTeX XMLCite \textit{A. M. Kagan} and \textit{A. A. Zinger}, Sankhyā, Ser. A 33, 351--358 (1971; Zbl 0274.62008)
Zinger, A. A.; Linnik, Yu. V. Nichtlineare Statistiken und lineare Zufallsformen. (Russian) Zbl 0236.62013 Tr. Mat. Inst. Steklova 111, 23-39 (1970). MSC: 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} and \textit{Yu. V. Linnik}, Tr. Mat. Inst. Steklova 111, 23--39 (1970; Zbl 0236.62013)
Zinger, A. A.; Kagan, A. M.; Klebanov, L. B. The sample mean as an estimator of a translation, parameter for certain nonquadratic losses. (English. Russian original) Zbl 0209.20802 Sov. Math., Dokl. 10, 1331-1333 (1969); translation from Dokl. Akad. Nauk SSSR 189, 29-30 (1969). MSC: 62C15 62E10 PDFBibTeX XMLCite \textit{A. A. Zinger} et al., Sov. Math., Dokl. 10, 1331--1333 (1969; Zbl 0209.20802); translation from Dokl. Akad. Nauk SSSR 189, 29--30 (1969)
Zinger, A.; Linnik, Yu. V. Polynomial statistics of normal samples. (English. Russian original) Zbl 0291.62025 Sov. Math., Dokl. 8, 1186-1187 (1967); translation from Dokl. Akad. Nauk SSSR 176, 766-767 (1967). MSC: 62E15 62E10 62H10 PDFBibTeX XMLCite \textit{A. Zinger} and \textit{Yu. V. Linnik}, Sov. Math., Dokl. 8, 1186--1187 (1967; Zbl 0291.62025); translation from Dokl. Akad. Nauk SSSR 176, 766--767 (1967)
Zinger, A. Detection of best and outlying normal populations with known variances. (English) Zbl 0199.23703 Biometrika 48, 457-461 (1961). MSC: 62-XX 92Dxx PDFBibTeX XMLCite \textit{A. Zinger}, Biometrika 48, 457--461 (1961; Zbl 0199.23703) Full Text: DOI