M. I. Tihomirova, V. P. Chistyakov, “Asymptotic normality of the number of non-appeared values in random <nobr>$m$</nobr>-dependent sequences”, Mat. Vopr. Kriptogr., 2011, Volume 2, Issue 1,Pages <nobr>119

This article is cited in 3 papers

Asymptotic normality of the number of non-appeared values in random $m$-dependent sequences

M. I. Tihomirova^a, V. P. Chistyakov^b

^a Academy of Cryptography of Russian Federation, Moscow
^b Steklov Mathematical Institute of RAS, Moscow

Abstract: A number of non-appeared values in a segment of discrete stationary $m$-dependent sequence is considered. Asymptotic normality of this number is proved under the condition that the number of possible values and the length of a segment tend to infinity and are of the same order.

Key words: $m$-dependent random variables, number of non-appeared values, central limit theorem.

UDC: 519.214.5

Received 22.IV.2010

DOI: 10.4213/mvk28