V. E. Bening, N. K. Galieva, “Upper Bounds For The Concentration Function Of Statistics Based On The Samples With Random Sizes”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2013, Issue 3,Pages <nobr>49

Probabilistic Possibilistic Models

Upper Bounds For The Concentration Function Of Statistics Based On The Samples With Random Sizes

V. E. Bening^a, N. K. Galieva^b

^a Department of Mathematical Statistics, Moscow State University. M.V. Lomonosov Moscow State University.
^b Kazakhstan Branch of the Moscow State University. M.V. Lomonosov Moscow State University.

Abstract: In the paper general theorem on estimation of the concentration functions of the statistics based on samples with random sizes is proved. These estimations are based on the results relating to nonrandom sample size.

Keywords: Random samples, concentration function, symmetric statistic, mixture of distributions, Laplace distribution, Student distribution.

UDC: 519.2

Received: 30.06.2012
Revised: 10.07.2012