On the power of tests of multidimensional discrete uniformity used for statistical analysis of random number generators

Autor:	Valeriy A. Voloshko, Anton I. Trubey
Jazyk:	Belarusian<br />English<br />Russian
Rok vydání:	2022
Předmět:	power of a test serial test test of multidimensional discrete uniformity contiguous alternatives non-central chi-squared distribution random number generator markov chain Mathematics QA1-939
Zdroj:	Журнал Белорусского государственного университета: Математика, информатика, Iss 1, Pp 26-37 (2022)
Druh dokumentu:	article
ISSN:	2520-6508 2617-3956
DOI:	10.33581/2520-6508-2022-1-26-37
Popis:	In this paper, we obtained the asymptotic power values for the statistical tests of multidimensional discrete uniformity under conditions of contiguous convergence of alternatives. Two versions of the test are considered, namely, with overlapping blocks (included in the NIST SP 800-22 test suit) and with non-overlapping blocks. The null hypothesis H0 is related to the so-called pure randomness of the observed sequence, i. e. independence and the same uniform distribution of its elements. An alternative H1 is assumed to be a Markov chain of some arbitrary fixed finite order.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a104e191eb8a4fe3a817cdbf37e385e1 Zobrazit plný text záznamu View record in DOAJ