Gaussian Limit Theorems for the Number of Given Value Cells in the Non-Homogeneous Generalized Allocation Scheme

In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Gaussian random variable. This result is applied to the study of the type I error and the type II error for analogs of the empty boxes test...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 246; no. 4; pp. 476 - 487
Main Authors Chickrin, D. E., Chuprunov, A. N., Kokunin, P. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 09.04.2020
Springer
Springer Nature B.V
Subjects
Error analysis
Mathematics
Mathematics and Statistics
Random variables
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Summary:In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Gaussian random variable. This result is applied to the study of the type I error and the type II error for analogs of the empty boxes test.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04753-w