Central Limit Theorems for Random Permanents with Correlation Structure

Grzegorz A. Rempała () and Jacek Wesołowski
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Grzegorz A. Rempała: University of Louisville
Jacek Wesołowski: Politechnika Warszawska

Journal of Theoretical Probability, 2002, vol. 15, issue 1, 63-76

Abstract: Abstract Central limit theorems for permanents of random m×n matrices of iid columns with a common intercomponent correlation as n−m→∞ are derived. The results are obtained by introducing a Hoeffding-like orthogonal decomposition of a random permanent and deriving the variance formulae for a permanent with the homogeneous correlation structure.

Keywords: central limit theorem; orthogonal expansion; random permanent (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1013837205669

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