V. E. Bening, “On the power of criteria in the case of samples of random size”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, Issue 4,Pages <nobr>5

This article is cited in 18 papers

Theory of Probability and Mathematical Statistics

On the power of criteria in the case of samples of random size

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 expansions for the generalized power of the tests based on the sample with random size is proved. These results are closed connected with the concept of asymptotic deficiency and may be used for asymptotic comparison of different asymptotically equivalent tests. Some examples are presented.

Keywords: power of test, asymptotic deficiency, sample of random size, asymptotic expansions, three-point symmetric distribution.

UDC: 519.2

Received: 01.11.2018
Revised: 03.12.2018

DOI: 10.26456/vtpmk514