Keywords: sample of random size, asymptotic expansions, three-point symmetric distribution, transfer theorem.
@article{VTPMK_2017_3_a0,
author = {V. E. Bening},
title = {An estimate of the distribution of the unknown parameters with a random number of independent observations},
journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
pages = {5--12},
year = {2017},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a0/}
}
TY - JOUR AU - V. E. Bening TI - An estimate of the distribution of the unknown parameters with a random number of independent observations JO - Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika PY - 2017 SP - 5 EP - 12 IS - 3 UR - http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a0/ LA - ru ID - VTPMK_2017_3_a0 ER -
%0 Journal Article %A V. E. Bening %T An estimate of the distribution of the unknown parameters with a random number of independent observations %J Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika %D 2017 %P 5-12 %N 3 %U http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a0/ %G ru %F VTPMK_2017_3_a0
V. E. Bening. An estimate of the distribution of the unknown parameters with a random number of independent observations. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2017), pp. 5-12. http://geodesic.mathdoc.fr/item/VTPMK_2017_3_a0/
[1] Gnedenko B. V., “An estimate of the distribution of the unknown parameters with a random number of independent observations”, Proceedings of the Tbilisi Institute of Mathematics, 92 (1989), 146-150 (in Russian) | Zbl
[2] Gnedenko B. V., Fahim H., “On one transfer theorem”, Reports of the Academy of Sciences of the USSR, 187 (1969), 15-17 (in Russian) | MR | Zbl
[3] Bening V. E., Korolev V. Yu., “On the use of Student distribution in the problems of probability theory and mathematical statistics”, Probability Theory and its Applications, 49:3 (2004), 417-435 (in Russian) | DOI | MR
[4] Bening V. E., Korolev V. Yu., Generalized Poisson Models and Their Applications in Insurance and Finance, VSP, Utrecht, 2002 | Zbl
[5] Bening V. E., Korolev V. Yu., “Some statistical problems related to the Laplace distribution”, Informatics and its Applications, 2:2 (2008), 19-34 (in Russian)
[6] Petrov V. V., Sums of Independent Random Variables, Nauka Publ., Moscow, 1972 (in Russian) | MR