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Compound Poisson approximation with association or negative association via Stein’s method. (English) Zbl 1296.62037
Summary: In this note we show how the properties of association and negative association can be combined with Stein’s method for compound Poisson approximation. Applications include \(k\)-runs in iid Bernoulli trials, an urn model with urns of limited capacity and extremes of random variables.

MSC:
62E17 Approximations to statistical distributions (nonasymptotic)
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