V. E. Bening, “On deficiencies of some estimators based on samples of random size”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2015, Issue 1,Pages <nobr>5

This article is cited in 5 papers

Theory of Probability and Mathematical Statistics

On deficiencies of some estimators based on 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 theorems concerning the asymptotic deficiencies of estimators based on the sample of random size are proved. Two examples of variance estimation are presented.

Keywords: point estimator, asymptotic deficiency, sample with random size, Poisson distribution.

UDC: 519.2

Received: 11.09.2014
Revised: 10.10.2014