Asymptotic Expansions in the Exponent: a Compound Poisson Approach
Advances in Applied Probability1997Vol. 29(2), pp. 374–387
Citations Over TimeTop 10% of 1997 papers
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.
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