Article ID Journal Published Year Pages File Type
1151715 Statistics & Probability Letters 2014 10 Pages PDF
Abstract

We consider a critical branching process with immigration controlled by a sequence of random variables {ξk,k≥1}{ξk,k≥1}, and prove a fluctuation limit theorem when {ξk}{ξk} is (N−1)(N−1)-dependent, improving the result in previous literatures.

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Physical Sciences and Engineering Mathematics Statistics and Probability
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A fluctuation limit theorem for a critical branching process with dependent immigration
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