relation: http://eprints.imtlucca.it/1544/
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. T  he 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.
date: 2013-04-12
type: Working Paper
type: NonPeerReviewed
identifier:   Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro  Central Limit Theorems for an Indian Buffet Model with Random Weights.  Technical Report  # /2013        (Submitted)   
relation: http://arxiv.org/pdf/1304.3626v1.pdf