Asymptotic Expansions in the Exponent: a Compound Poisson Approach
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Published:1997-06
Issue:02
Volume:29
Page:374-387
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ISSN:0001-8678
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Container-title:Advances in Applied Probability
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language:en
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Short-container-title:Adv. Appl. Probab.
Abstract
The accuracy of the Normal or Poisson approximations can be significantly improved by adding part of an asymptotic expansion in the exponent. The signed-compound-Poisson measures obtained in this manner can be of the same structure as the Poisson distribution. For large deviations we prove that signed-compound-Poisson measures enlarge the zone of equivalence for tails.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability