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Improving Poisson Approximations
Published online by Cambridge University Press: 27 July 2009
Abstract
Let X1,…, Xn, be indicator random variables, and set We present a method for estimating the distribution of W in settings where W has an approximately Poisson distribution. Our method is shown to yield estimates significantly better than straight Poisson estimates when applied to Bernoulli convolutions, urn models, the circular k of n: F system, and a matching problem. Error bounds are given.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 8 , Issue 4 , October 1994 , pp. 449 - 462
- Copyright
- Copyright © Cambridge University Press 1994
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