Preprint
Asymptotic normality through factorial cumulants and partitions identities
arXiv.org
23 Jun 2011
Abstract
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 classical discrete distributions, occupancy problems in some
generalized allocation schemes and two models related to negative multinomial
distribution.
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Details
- Title
- Asymptotic normality through factorial cumulants and partitions identities
- Creators
- Konstancja BobeckaPawel HitczenkoFernando Lopez-BlazquezGrzegorz RempalaJacek Wesolowski
- Publication Details
- arXiv.org
- Publisher
- Cambridge University Press
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991020531974204721