Random Permanents

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VSP, Jan 1, 1994 - Science - 194 pages
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The determination of permanent random measures and the representation of symmetric statistics as functionals of symmetrization random measures with some deterministic kernels, make it possible to clarify the influence of properties of a random measure on the limiting results for symmetric statistics and also to study the influence of the characteristic structure of these kernels. This approach in the theory of symmetric statistics has inspired the authors to investigate random permanents and their generating functions in detail.
New limiting results for random permanents are basically obtained by employing the algebraic and analytical properties of the permanents of sampling matrices and their generating functions. This notion allows clarification of different schemes in the asymptotic analysis of symmetric statistics as the size of a sample n tends to infinity.
 

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Contents

Preface
3
Permanents in the series scheme
25
Permanents with increasing degrees
45
Normal approximation
61
Symmetric statistics
97
Mixed sampling permanents
135
Rate of convergence
155
Dependent variables
167
Bibliographical comments
179
Subject index
191
Copyright

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