Amosova, N. N. Estimate of distributions of sums of independent random variables. (English. Russian original) Zbl 1066.60047 J. Math. Sci., New York 118, No. 6, 5507-5512 (2003); translation from Zap. Nauchn. Semin. POMI 278, 5-14 (2001). MSC: 60G50 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, J. Math. Sci., New York 118, No. 6, 5507--5512 (2001; Zbl 1066.60047); translation from Zap. Nauchn. Semin. POMI 278, 5--14 (2001) Full Text: DOI
Amosova, N. N. Necessity of the Cramer, Linnik, and Statulevičius conditions for large-deviation probabilities. (English. Russian original) Zbl 1022.60025 J. Math. Sci., New York 109, No. 6, 2031-2036 (2002); translation from Zap. Nauchn. Semin. POMI 260, 9-16 (1999). Reviewer: Birute Kryžienė (Vilnius) MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, J. Math. Sci., New York 109, No. 6, 1 (1999; Zbl 1022.60025); translation from Zap. Nauchn. Semin. POMI 260, 9--16 (1999) Full Text: DOI
Amosova, N. N. On the necessity of Statulevičius’ condition in limit theorems for large-deviation probabilities. (English. Russian original) Zbl 0966.60021 Lith. Math. J. 39, No. 3, 231-239 (1999); translation from Liet. Mat. Rink. 39, No. 3, 293-303 (1999). Reviewer: Serguey Victorovich Zhulenev (Moskva) MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Lith. Math. J. 39, No. 3, 231--239 (1999; Zbl 0966.60021); translation from Liet. Mat. Rink. 39, No. 3, 293--303 (1999) Full Text: DOI
Amosova, N. N. The necessity of the Linnik condition in a theorem on probabilities of large deviations. (English. Russian original) Zbl 0929.60018 J. Math. Sci., New York 93, No. 3, 255-258 (1999); translation from Zap. Nauchn. Semin. POMI 228, 9-15 (1996). Reviewer: S.Ebralidze (Tbilisi) MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, J. Math. Sci., New York 93, No. 3, 1 (1996; Zbl 0929.60018); translation from Zap. Nauchn. Semin. POMI 228, 9--15 (1996) Full Text: DOI EuDML
Amosova, N. N. Probabilities of large deviations for absolute order statistics. (Russian) Zbl 0900.60027 Borevich, Z. I. (ed.) et al., Rings and modules. Limit theorems of probability theory. No. 3. Sankt-Peterburg: Izdatel’stvo Sankt-Peterburgskogo Universiteta, 111-119, 258 (1993). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, in: Кольца и модули. Предельные теоремы теории вероятностей. Вып. 3. Sankt-Peterburg: Izdatel'stvo Sankt-Peterburgskogo Universiteta. 111--119, 258 (1993; Zbl 0900.60027)
Amosova, N. N. A note on the local limit theorem for large deviations. (English. Russian original) Zbl 0776.60034 Theory Probab. Appl. 35, No. 4, 758-760 (1991); translation from Teor. Veroyatn. Primen. 35, No. 4, 754-756 (1990). Reviewer: J.A.Víšek (Praha) MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Appl. 35, No. 4, 758--760 (1990; Zbl 0776.60034); translation from Teor. Veroyatn. Primen. 35, No. 4, 754--756 (1990) Full Text: DOI
Amosova, N. N. On the necessity of Cramér’s condition in local limit theorems. (English) Zbl 0731.60021 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 52-56 (1990). Reviewer: W.-D.Richter (Rostock) MSC: 60F10 60F05 60G50 PDFBibTeX XML
Amosova, N. N. Narrow zones of local normal attraction. (English. Russian original) Zbl 0724.60027 Theory Probab. Appl. 35, No. 1, 140-145 (1990); translation from Teor. Veroyatn. Primen. 35, No. 1, 138-143 (1990). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Appl. 35, No. 1, 140--145 (1990; Zbl 0724.60027); translation from Teor. Veroyatn. Primen. 35, No. 1, 138--143 (1990) Full Text: DOI
Amosova, N. N. Narrow zones of the local normal attraction. (Russian) Zbl 0701.60018 Teor. Veroyatn. Primen. 35, No. 1, 138-143 (1990). Reviewer: R.J.Tomkins MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Teor. Veroyatn. Primen. 35, No. 1, 138--143 (1990; Zbl 0701.60018)
Amosova, N. N. An inequality for probabilities of large deviations. (English. Russian original) Zbl 0663.60029 Theory Probab. Appl. 32, No. 2, 337-340 (1987); translation from Teor. Veroyatn. Primen. 32, No. 2, 364-367 (1987). MSC: 60F10 60E15 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Appl. 32, No. 2, 337--340 (1987; Zbl 0663.60029); translation from Teor. Veroyatn. Primen. 32, No. 2, 364--367 (1987) Full Text: DOI
Amosova, N. N. On a local version of Kolmogorov’s problem. (English. Russian original) Zbl 0658.60051 Theory Probab. Appl. 32, No. 1, 175-178 (1987); translation from Teor. Veroyatn. Primen. 32, No. 1, 188-192 (1987). MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Appl. 32, No. 1, 175--178 (1987; Zbl 0658.60051); translation from Teor. Veroyatn. Primen. 32, No. 1, 188--192 (1987) Full Text: DOI
Amosova, N. N. A supplement to W. Richter’s theorem. (English) Zbl 0643.60022 Math. Notes 42, No. 1-2, 577-578 (1987). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Math. Notes 42, No. 1--2, 577--578 (1987; Zbl 0643.60022) Full Text: DOI
Wolf, Werner (ed.); Siegel, Gerhard (ed.) [Tikhomirov, A.; Heinrich, L.; Paditz, L.; Christoph, G.; Macht, W.; Wolf, W.; Sasvari, Z.; Nevzorov, V.; Petrov, V.; Mikosch, T.; Sazonov, V.; Ulyanov, V.; Siegel, G.; Amosova, N.; Richter, W.-D.] Limit theorems in probability theory and related fields. (English) Zbl 0637.60001 Wissenschaft: Theorie und Praxis, 1987. Dresden: Technische Universität Dresden, Sektion Mathematik. 184 S.; ISSN 0863-0240 (1987). Reviewer: W.Wolf and G.Siegel MSC: 60-06 60Fxx 00Bxx 60E15 PDFBibTeX XML
Amosova, N. N. A complement to the theorem of W. Richter. (Russian) Zbl 0625.60029 Mat. Zametki 42, No. 1, 120-123 (1987). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Mat. Zametki 42, No. 1, 120--123 (1987; Zbl 0625.60029)
Amosova, N. N. An inequality for probabilities of large deviations. (Russian) Zbl 0624.60046 Teor. Veroyatn. Primen. 32, No. 2, 364-367 (1987). Reviewer: V.M.Kruglov MSC: 60F10 60E15 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Teor. Veroyatn. Primen. 32, No. 2, 364--367 (1987; Zbl 0624.60046)
Amosova, N. N. On a local variant of an A. N. Kolmogorov problem. (Russian) Zbl 0623.60038 Teor. Veroyatn. Primen. 32, No. 1, 188-192 (1987). Reviewer: L.Podkaminer MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Teor. Veroyatn. Primen. 32, No. 1, 188--192 (1987; Zbl 0623.60038)
Amosova, N. N. On probabilities of large deviations of sums of dependent random variables. (English. Russian original) Zbl 0627.60033 Theory Probab. Math. Stat. 32, 1-7 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 3-9 (1985). Reviewer: M.M.Rao MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Math. Stat. 32, 1--7 (1986; Zbl 0627.60033); translation from Teor. Veroyatn. Mat. Stat. 32, 3--9 (1985)
Amosova, N. N.; Richter, Wolf-Dieter Moderate deviations for densities in \(R^ k\). (English) Zbl 0549.60026 J. Sov. Math. 27, 2997-3002 (1984). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova} and \textit{W.-D. Richter}, J. Sov. Math. 27, 2997--3002 (1984; Zbl 0549.60026) Full Text: DOI
Amosova, N. N. Probabilities of large deviations in the case of stable limit distributions. (English. Russian original) Zbl 0549.60025 Math. Notes 35, 68-71 (1984); translation from Mat. Zametki 35, No. 1, 125-131 (1984). Reviewer: V.M.Kruglov MSC: 60F10 60E07 PDFBibTeX XMLCite \textit{N. N. Amosova}, Math. Notes 35, 68--71 (1984; Zbl 0549.60025); translation from Mat. Zametki 35, No. 1, 125--131 (1984) Full Text: DOI
Amosova, N. N. Narrow zones of integral normal convergence. (English) Zbl 0531.60025 J. Sov. Math. 24, 483-489 (1984). MSC: 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, J. Sov. Math. 24, 483--489 (1984; Zbl 0531.60025) Full Text: DOI
Amosova, N. N. A problem of A. N. Kolmogorov from the theory of the summation of independent random variables. (English) Zbl 0538.60027 Math. Notes 33, 235-239 (1983). MSC: 60F05 60G50 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Math. Notes 33, 235--239 (1983; Zbl 0538.60027) Full Text: DOI
Amosova, N. N. On a certain problem of A. N. Kolmogorov of the theory of summation of independent random variables. (Russian) Zbl 0516.60027 Mat. Zametki 33, No. 3, 463-471 (1983). MSC: 60F05 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Mat. Zametki 33, No. 3, 463--471 (1983; Zbl 0516.60027)
Amosova, N. N.; Richter, V. D. Moderate deviations for densities in \(R^ k\). (Russian) Zbl 0496.60026 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 119, 7-13 (1982). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova} and \textit{V. D. Richter}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 119, 7--13 (1982; Zbl 0496.60026) Full Text: EuDML
Amosova, N. N. Probabilities of moderate deviations. (English) Zbl 0489.60032 J. Sov. Math. 20, 2123-2130 (1982). MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, J. Sov. Math. 20, 2123--2130 (1982; Zbl 0489.60032) Full Text: DOI
Amosova, Natalija; Richter, Wolf-Dieter Ein Grenzwertsatz für mittlere und große Abweichungen von Dichten im \(R^ k\). (German) Zbl 0499.60034 Wiss. Z. Tech. Univ. Dres. 30, No. 4, 121-124 (1981). MSC: 60F10 PDFBibTeX XMLCite \textit{N. Amosova} and \textit{W.-D. Richter}, Wiss. Z. Tech. Univ. Dres. 30, No. 4, 121--124 (1981; Zbl 0499.60034)
Amosova, N. N. Narrow integral zones of normal attraction. (English) Zbl 0465.60036 Lith. Math. J. 21, 1-8 (1981). MSC: 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Lith. Math. J. 21, 1--8 (1981; Zbl 0465.60036) Full Text: DOI
Amosova, N. N. Local limit theorems for probabilities of moderate deviations. (English) Zbl 0459.60025 Math. Notes 28, 685-689 (1981). MSC: 60F05 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Math. Notes 28, 685--689 (1981; Zbl 0459.60025) Full Text: DOI
Amosova, N. N. Narrow integral domains of normal attraction. (Russian) Zbl 0455.60024 Litov. Mat. Sb. 21, No. 1, 3-15 (1981). MSC: 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Litov. Mat. Sb. 21, No. 1, 3--15 (1981; Zbl 0455.60024)
Amosova, N. N. On the rate of convergence of probabilities of moderate deviations under restrictions on the moments. (English) Zbl 0485.60033 Theory Probab. Math. Stat. 19, 1-6 (1980). MSC: 60F99 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Math. Stat. 19, 1--6 (1980; Zbl 0485.60033)
Amosova, N. N. On narrow zones of the integral normal convergence. (Russian) Zbl 0452.60029 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 97, 6-14 (1980). MSC: 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 97, 6--14 (1980; Zbl 0452.60029) Full Text: EuDML
Amosova, N. N. On local limit theorems for probabilities of moderate deviations. (Russian) Zbl 0443.60024 Mat. Zametki 28, 433-442 (1980). MSC: 60F05 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Mat. Zametki 28, 433--442 (1980; Zbl 0443.60024)
Amosova, N. N. On moderate deviation probabilities for sums of independent random variables. (English) Zbl 0441.60025 Theory Probab. Appl. 24, 856-863 (1980). MSC: 60F10 60F05 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Appl. 24, 856--863 (1980; Zbl 0441.60025) Full Text: DOI
Amosova, N. N. On probabilities of moderate deviations. (Russian) Zbl 0417.60036 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 85, 6-16 (1979). MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 85, 6--16 (1979; Zbl 0417.60036) Full Text: EuDML
Amosova, N. N. On the probabilities of moderate deviations for sums of independent random variables. (Russian) Zbl 0416.60032 Teor. Veroyatn. Primen. 24, 858-865 (1979). MSC: 60F10 60F05 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Teor. Veroyatn. Primen. 24, 858--865 (1979; Zbl 0416.60032)
Amosova, N. N. Probabilities of one-sided deviations of sums of independent random variables. (English) Zbl 0405.60026 Math. Notes 24, 570-575 (1979). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Math. Notes 24, 570--575 (1979; Zbl 0405.60026) Full Text: DOI
Amosova, N. N. On the rate of convergence of probabilities of moderate deviations under moment restrictions. (Russian) Zbl 0407.60017 Teor. Veroyatn. Mat. Stat. 19, 3-8 (1978). MSC: 60F10 60F99 60G50 PDFBibTeX XML
Amosova, N. N. Zur Frage über die Konvergenzgeschwindigkeit im einseitigen Gesetz der großen Zahlen. (Russian) Zbl 0401.60026 Izv. Vyssh. Uchebn. Zaved., Mat. 1978, No. 10(197), 3-6 (1978). MSC: 60F15 PDFBibTeX XMLCite \textit{N. N. Amosova}, Izv. Vyssh. Uchebn. Zaved., Mat. 1978, No. 10(197), 3--6 (1978; Zbl 0401.60026)
Amosova, N. N. Über die Wahrscheinlichkeiten einseitiger Abweichungen von Summen unabhängiger Größen. (Russian) Zbl 0395.60031 Mat. Zametki 24, 123-132 (1978). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Mat. Zametki 24, 123--132 (1978; Zbl 0395.60031)
Amosova, N. N. Some limit theorems for probabilities of large deviations. (English) Zbl 0393.60027 Theory Probab. Math. Stat. 10(1976), 11-26 (1978). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Math. Stat. 10, 11--26 (1978; Zbl 0393.60027)
Amosova, N. N. On probabilities of large deviations. (English) Zbl 0451.60033 Theory Probab. Math. Stat. 14, 18-22 (1977). MSC: 60F10 60E15 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Theory Probab. Math. Stat. 14, 18--22 (1977; Zbl 0451.60033)
Amosova, N. N. Rate of convergence in the one-sided law of large numbers. (English) Zbl 0358.60050 Lith. Math. J. 16(1976), 313-319 (1977). MSC: 60F15 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Lith. Math. J. 16, 313--319 (1977; Zbl 0358.60050) Full Text: DOI
Amosova, N. N. On probabilities of large deviations. (Russian) Zbl 0398.60027 Teor. Veroyatn. Mat. Stat. 14, 20-24 (1976). MSC: 60F10 60E15 PDFBibTeX XML
Amosova, N. N. On the rate of convergence in the one-sided law of large numbers. (Russian) Zbl 0345.60018 Litov. Mat. Sb./Lietuv. Mat. Rink. 16, No. 3, 5-12 (1976). MSC: 60F05 PDFBibTeX XMLCite \textit{N. N. Amosova}, Litov. Mat. Sb. 16, No. 3, 5--12 (1976; Zbl 0345.60018)
Amosova, N. N. Local limit theorems for probabilities of moderate deviations. (English. Russian original) Zbl 0348.60029 Lith. Math. Trans. 14(1974), 401-407 (1975); translation from Litov. Mat. Sb./Lietuv. Mat. Rink. 14, No. 3, 47-55 (1974). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Lith. Math. Trans. 14, 401--407 (1974; Zbl 0348.60029); translation from Litov. Mat. Sb./Lietuv. Mat. Rink. 14, No. 3, 47--55 (1974)
Amosova, N. N. Some limit theorems for probabilities of large deviations. (Russian) Zbl 0325.60027 Teor. Veroyatn. Mat. Stat. 10, 12-28 (1974). MSC: 60F10 PDFBibTeX XML
Amosova, N. N. Über lokale Grenzwertsätze für Wahrscheinlichkeiten großer Abweichungen. (Russian) Zbl 0291.60016 Vestn. Leningr. Univ. 1973, No. 19, Mat. Mekh. Astron. 1973, No. 4, 145-147 (1973). MSC: 60F10 PDFBibTeX XMLCite \textit{N. N. Amosova}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1973, No. 4, 145--147 (1973; Zbl 0291.60016)
Amosova, N. N. Über Grenzwertsätze für Wahrscheinlichkeiten mäßiger Abweichungen. (Russian) Zbl 0299.60015 Vestn. Leningr. Univ. 1972, No. 13, Mat. Mekh. Astron. 1972, No. 3, 5-14 (1972). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1972, No. 3, 5--14 (1972; Zbl 0299.60015)
Amosova, N. N. Local limit theorems for large deviations. (English. Russian original) Zbl 0273.60015 Sov. Math., Dokl. 13, 108-112 (1972); translation from Dokl. Akad. Nauk SSSR 202, 503-506 (1972). MSC: 60F10 60G50 PDFBibTeX XMLCite \textit{N. N. Amosova}, Sov. Math., Dokl. 13, 108--112 (1972; Zbl 0273.60015); translation from Dokl. Akad. Nauk SSSR 202, 503--506 (1972)