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

Author

Listed:
  • 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)

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.

Suggested Citation

  • L. C. Zhao & C. Q. Wu & Q. Wang, 2004. "Berry–Esseen Bound for a Sample Sum from a Finite Set of Independent Random Variables," Journal of Theoretical Probability, Springer, vol. 17(3), pages 557-572, July.
    • Handle: RePEc:spr:jotpro:v:17:y:2004:i:3:d:10.1023_b:jotp.0000040289.99786.ca
    DOI: 10.1023/B:JOTP.0000040289.99786.ca
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    References listed on IDEAS

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    1. Babu, Gutti Jogesh & Bai, Z. D., 1996. "Mixtures of Global and Local Edgeworth Expansions and Their Applications," Journal of Multivariate Analysis, Elsevier, vol. 59(2), pages 282-307, November.
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