Asymptotic Normality Through Factorial Cumulants and Partition Identities

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چکیده

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Asymptotic Normality Through Factorial Cumulants and Partition Identities

In the paper we develop an approach to asymptotic normality through factorial cumulants. Factorial cumulants arise in the same manner from factorial moments as do (ordinary) cumulants from (ordinary) moments. Another tool we exploit is a new identity for 'moments' of partitions of numbers. The general limiting result is then used to (re-)derive asymptotic normality for several models including ...

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ژورنال

عنوان ژورنال: Combinatorics, Probability and Computing

سال: 2012

ISSN: 0963-5483,1469-2163

DOI: 10.1017/s0963548312000545