Browse Journals

[1] V. E. Bening and V. Yu. Korolev, Generalized Poisson Models and their Applications in Insurance and Finance, VSP, Utrecht, 2002.

[2] B. V. Gnedenko and V. Yu. Korolev, Random Summation: Limit Theorems and Applications, CRC Press, Boca Raton, 1996.

[3] V. E. Bening and V. Yu. Korolev, On an application of the Student distribution in the theory of probability and mathematical statistics, Theory of Probability and its Applications 49(3) (2005), 377-391.

DOI: https://doi.org/10.1137/S0040585X97981159

[4] V. E. Bening and V. Yu. Korolev, Some statistical problems related to the Laplace distribution, Informatika i Ee Primeneniya 2(2) (2008), 19-34.

[5] O. O. Lyamin, On the rate of convergence of the distributions of certain statistics to the Laplace and Student distributions, Moscow University Computational Mathematics and Cybernetics 35(1) (2011), 37-46.

DOI: https://doi.org/10.3103/S0278641911010055

[6] V. E. Bening, N. K. Galieva and V. Yu. Korolev, Asymptotic expansions for the distribution functions of statistics constructed from samples with random sizes, Informatika i Ee Primeneniya 7(2) (2013), 75-83.

[7] V. V. Petrov, Sums of Independent Random Variables, Springer, Berlin, New York, 1975.

DOI: https://doi.org/10.1007/978-3-642-65809-9

[8] V. E. Bening, V. Yu. Korolev, I. A. Sokolov and S. Ya. Shorgin, Randomized Models and Methods of the Theory of Reliability of Information and Technical Systems, Torus Press, Moscow, 2007 (in Russian).

[9] S. S. Wilks, Recurrence of extreme observations, Journal of the Australian Mathematical Society 1(1) (1959), 106-112.

DOI: https://doi.org/10.1017/S144678870002512X

[10] V. B. Nevzorov, Records: Mathematical Theory, American Mathematical Society, Providence, RI, 2000.

[11] V. E. Bening, On deficiencies of some estimators based on samples of random size, Vestnik TVGU, Seriya: Prikladnaya Matematica [Herald of Tver State University, Series: Applied Mathematics] 1 (2015), 5-14 (in Russian).

[12] V. E. Bening, Asymptotic Theory of Testing Statistical Hypotheses: Efficient Statistics, Optimality, Power Loss, and Deficiency, Berlin: Walter de Gruyter, 2011, 277 pp. ISBN 978 - 3 - 11 - 093599 -8.

[13] H. Cramér, Mathematical Methods of Statistics, Princeton University Press, Princeton, 1946, 631 pp.

[14] J. L. Hodges and E. L. Lehmann, Deficiency, Annals of Mathematical Statistics 41(3) (1970), 783-801.

DOI: https://doi.org/10.1214/aoms/1177696959