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 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper general theorem concerning the asymptotic expansions of quantiles of distribution functions of statistics based on the sample with random size is proved. Two examples (sums of independent random variables and three-point symmetric distribution) are presented.
Mots-clés : quantile
Keywords: sample of random size, asymptotic expansions, three-point symmetric distribution, transfer theorem.
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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