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Remainder term estimates in a conditional central limit theorem for integer-valued random variables

Part of: Limit theorems

Published online by Cambridge University Press:  09 April 2009

M. P. Quine
M. P. Quine
Affiliation:
Department of Mathematical StatisticsUniversity of SydneySydney, N.S.W. 2006, Australia
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Abstract

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A Berry-Esseen type result is given for the conditional distribution of a weighted sum of i.i.d. integer-valued r.v.'s given that their unweighted sum equals its expectation. The examples include the case of sampling without replacement from a finite population.

MSC classification

Secondary: 60F05: Central limit and other weak theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 1 , August 1985 , pp. 75 - 85
Copyright
Copyright © Australian Mathematical Society 1985

References

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