V. E. Bening, “On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, Issue 3,Pages <nobr>42

This article is cited in 4 papers

Theory of Probability and Mathematical Statistics

On asymptotic behavior of quantiles deficiencies of the distributions of statistics based on the samples with random sizes

V. E. Bening^ab

^a Lomonosov Moscow State University, Moscow
^b Institute of Informatics Problems of the Russian Academy of Sciences, Moscow

Abstract: In the paper general theorem concerning the asymptotic deficiency and 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.

Keywords: asymptotic deficiency, quantile, sample of random size, asymptotic expansions, three-point symmetric distribution, transfer theorem.

UDC: 519.2

Received: 28.06.2018
Revised: 09.08.2018

DOI: 10.26456/vtpmk509