ON CONVERGENCE AND EXTENSIONS OF SIZE-BIASED PERMUTATIONS

Authors
GNEDIN AV
Citation
Av. Gnedin, ON CONVERGENCE AND EXTENSIONS OF SIZE-BIASED PERMUTATIONS, Journal of Applied Probability, 35(3), 1998, pp. 642-650
Citations number
16
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Applied Probability → ACNP
ISSN journal
00219002
Volume
35
Issue
3
Year of publication
1998
Pages
642 - 650
Database
ISI
SICI code
0021-9002(1998)35:3<642:OCAEOS>2.0.ZU;2-9
Abstract
Size-biased permutation (SBP) is a random arrangement of frequencies o f 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 SEP for the case when the sum of positive frequencies is less than 1.