eprintid: 976
rev_number: 8
eprint_status: archive
userid: 36
dir: disk0/00/00/09/76
datestamp: 2011-10-31 11:30:01
lastmod: 2011-11-03 13:19:36
status_changed: 2011-10-31 11:30:01
type: article
metadata_visibility: show
creators_name: Bassetti, Federico
creators_name: Crimaldi, Irene
creators_name: Leisen, Fabrizio
creators_id: 
creators_id: irene.crimaldi@imtlucca.it
creators_id: 
title: Conditionally identically distributed species sampling sequences
ispublished: pub
subjects: HA
subjects: QA
divisions: EIC
full_text_status: none
keywords: Conditional identity in distribution; Poisson-Dirichlet sequence; random partition; random probability measure; randomly reinforced urn; species sampling sequence; stable convergence
abstract: In this paper the theory of species sampling sequences is linked to the theory of conditionally identically distributed sequences in order to enlarge the set of species sampling sequences which are mathematically tractable. The conditional identity in distribution (see Berti, Pratelli and Rigo (2004)) is a new type of dependence for random variables, which generalizes the well-known notion of exchangeability. In this paper a class of random sequences, called generalized species sampling sequences, is defined and a condition to have conditional identity in distribution is given. Moreover, two types of generalized species sampling sequence that are conditionally identically distributed are introduced and studied: the generalized Poisson-Dirichlet sequence and the generalized Ottawa sequence. Some examples are discussed. 
date: 2010
date_type: published
publication: Advances in applied probability
volume: 42
number: 2
publisher: Applied Probability Trust
pagerange: 433-459
id_number: doi:10.1239/aap/1275055237
refereed: TRUE
issn: 0001-8678
official_url: http://projecteuclid.org/euclid.aap/1275055237
citation:   Bassetti, Federico and Crimaldi, Irene and Leisen, Fabrizio  Conditionally identically distributed species sampling sequences.  Advances in applied probability, 42 (2).  pp. 433-459.  ISSN 0001-8678      (2010)