?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F1544%2F&rft.title=Central+Limit+Theorems+for+an+Indian+Buffet+Model+with+Random+Weights&rft.creator=Berti%2C+Patrizia&rft.creator=Crimaldi%2C+Irene&rft.creator=Pratelli%2C+Luca&rft.creator=Rigo%2C+Pietro&rft.subject=HA+Statistics&rft.subject=QA+Mathematics&rft.description=The+three-parameter+Indian+buffet+process+is+generalized.+T%0D%0Ahe+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%2C+and+let+%0D%0A%7B%5Cbar+K%7D_n%3D(1%2Fn)%5Csum_%7Bi%3D1%7D%5En+K_i%0D%0Awhere+K_i+is+the+number+of+dishes+tried+by+customer+i.+The+asymptotic+distributions+of+L_n+and+%7B%5Cbar+K%7D_n%2C+suitably%0D%0Acentered+and+scaled%2C+are+obtained.+The+convergence+turns+out+to+be+stable+(and+not+only+in+distribution).+As+a+particular+case%2C+the+results+apply+to+the+standard+(i.e.%2C+non+generalized)+Indian+buffet+process.&rft.date=2013-04-12&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.identifier=++Berti%2C+Patrizia+and+Crimaldi%2C+Irene+and+Pratelli%2C+Luca+and+Rigo%2C+Pietro++Central+Limit+Theorems+for+an+Indian+Buffet+Model+with+Random+Weights.++Technical+Report++%23+%2F2013++++++++(Submitted)+++&rft.relation=http%3A%2F%2Farxiv.org%2Fpdf%2F1304.3626v1.pdf