relation: http://eprints.imtlucca.it/2612/
title: Central Limit Theorems for an Indian Buffet Model with Random Weights
creator: Berti, Patrizia
creator: Crimaldi, Irene
creator: Pratelli, Luca
creator: Rigo, Pietro
subject: HA Statistics
subject: QA Mathematics
description: The three-parameter Indian buffet process is generalized. The possibly different role played by customers is taken into account by suitable (random) weights. Various limit theorems are also proved for such generalized Indian buffet process. Let L_n be the number of dishes experimented by the first n customers, and let   {\bar K}_n=(1/n)\sum_{i=1}^n K_i  where K_i is the number of dishes tried by customer i. The asymptotic distributions of L_n and {\bar K}_n, suitably  centered and scaled, are obtained. The convergence turns out to be stable (and not only in distribution). As a particular case, the results apply to the standard (i.e., non generalized) Indian buffet process.
publisher: Institute of Mathematical Statistics
date: 2015
type: Article
type: PeerReviewed
identifier:   Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro  Central Limit Theorems for an Indian Buffet Model with Random Weights.  The Annals of Applied Probability, 25 (2).  pp. 523-547.  ISSN 1050-5164      (2015)  
relation: http://projecteuclid.org/euclid.aoap/1424355122
relation: DOI: 10.1214/14-AAP1002