Berry–Esseen Bound for a Sample Sum from a Finite Set of Independent Random Variables

L. C. Zhao (), C. Q. Wu () and Q. Wang ()
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L. C. Zhao: University of Science and Technology of China
C. Q. Wu: University of Science and Technology of China
Q. Wang: The University of Sydney

Journal of Theoretical Probability, 2004, vol. 17, issue 3, 557-572

Abstract: Abstract Let {X 1,...,X N} be a set of N independent random variables, and let S n be a sum of n random variables chosen without replacement from the set {X 1,...,X N} with equal probabilities. In this paper we give an estimate of the remainder term for the normal approximation of S n under mild conditions.

Keywords: Berry–Esseen bound; finite population; sampling without replacement (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTP.0000040289.99786.ca

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