V. E. Bening, V. A. Savushkin, “On the deficiency of sample mediane based on the sample with random size”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, Issue 2,Pages <nobr>5

Theory of Probability and Mathematical Statistics

On the deficiency of sample mediane based on the sample with random size

V. E. Bening^ab, V. A. Savushkin^c

^a Lomonosov Moscow State University
^b Institute of Informatics Problems of the Russian Academy of Sciences
^c International University of Nature, Society and Man "Dubna"

Abstract: In the paper general theorems concerning the asymptotic deficiencies of sample mediane based on the sample of random size are proved.

Keywords: sample mediane, asymptotic deficiency, sample with random size, binomial and Poisson distributions.

UDC: 519.2

Received: 28.04.2016
Revised: 15.05.2016