Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables

This paper concerns an asymptotic expansion for the distribution of the sum of independent zero-one random variables in case where this surn has variance [sigma]n2 --> [infinity]. The expansion presented is given to the order O([sigma]n-2). An application to the study of the exact rate of convergence in the central limit theorem for intermediate order statistics is included.

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Year of publication:	1989
Authors:	Deheuvels, Paul ; Puri, Madan L. ; Ralescu, Stefan S.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 28.1989, 2, p. 282-303
Publisher:	Elsevier
Keywords:	normal approximation Poisson approximation binomial distributions order statistics central limit theorem weak laws

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005152996