Random Permanents

by Yu V. Borovskhikh and Vladimir S Koroliuk

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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.
  • ISBN10 9067641847
  • ISBN13 9789067641845
  • Publish Date 1 October 1994
  • Publish Status Out of Print
  • Out of Print 21 July 2021
  • Publish Country NL
  • Publisher Brill
  • Imprint VSP International Science Publishers