Compound Poisson Approximation for Dissociated Random Variables via Stein's Method
- 1 July 1999
- journal article
- research article
- Published by Cambridge University Press (CUP) in Combinatorics, Probability and Computing
- Vol. 8 (4) , 335-346
- https://doi.org/10.1017/s0963548399003880
Abstract
In the present paper we consider compound Poisson approximation by Stein's method for dissociated random variables. We present some applications to problems in system reliability. In particular, our examples have the structure of an incomplete U-statistics. We mainly apply techniques from Barbour and Utev, who gave new bounds for the solutions of the Stein equation in compound Poisson approximation in two recent papers.Keywords
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