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On convergence and extensions of size-biased permutations

Part of: Stochastic processes Distribution theory

Published online by Cambridge University Press:  14 July 2016

Alexander V. Gnedin
Alexander V. Gnedin*
Affiliation:
University of Göttingen
*
∗Postal address: Institute of Mathematical Stochastics, University of Göttingen, Lotzestrasse 13, 37083 Göttingen, Germany. Email address: gnedin@math.uni-goettingen.de.
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Abstract

Size-biased permutation (SBP) is a random arrangement of frequencies of distinct categories in the order in which the categories appear for the first time in the sampling process. We study the conditions under which the SBPs converge in distribution and discuss extended versions of SBP for the case when the sum of positive frequencies is less than 1.

Keywords

Samplingsize-biased permutationpaintbox process

MSC classification

Primary: 62E10: Characterization and structure theory
Secondary: 60G09: Exchangeability
Type
Research Papers
Information
Journal of Applied Probability , Volume 35 , Issue 3 , September 1998 , pp. 642 - 650
Copyright
Copyright © Applied Probability Trust 1998 

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