?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Feprints.imtlucca.it%2F3596%2F&rft.title=Central+limit+theorems+for+a+hypergeometric+randomly+reinforced+urn&rft.creator=Crimaldi%2C+Irene&rft.subject=HA+Statistics&rft.subject=QA+Mathematics&rft.description=We+consider+a+variant+of+the+randomly+reinforced+urn+where+more+balls+can+be+simultaneously+drawn+out+and+balls+of+different+colors+can+be+simultaneously+added.+More+precisely%2C+at+each+time-step%2C+the+conditional+distribution+of+the+number+of+extracted+balls+of+a+certain+color+given+the+past+is+assumed+to+be+hypergeometric.+We+prove+some+central+limit+theorems+in+the+sense+of+stable+convergence+and+of+almost+sure+conditional+convergence%2C+which+are+stronger+than+convergence+in+distribution.+The+proven+results+provide+asymptotic+confidence+intervals+for+the+limit+proportion%2C+whose+distribution+is+generally+unknown.+Moreover%2C+we+also+consider+the+case+of+more+urns+subjected+to+some+random+common+factors.&rft.publisher=arXiv&rft.date=2015&rft.type=Working+Paper&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.rights=cc_by_nc&rft.identifier=http%3A%2F%2Feprints.imtlucca.it%2F3596%2F1%2F1504.06999v2.pdf&rft.identifier=++Crimaldi%2C+Irene++Central+limit+theorems+for+a+hypergeometric+randomly+reinforced+urn.++Technical+Report+++arXiv+++++++(Submitted)+++&rft.relation=https%3A%2F%2Farxiv.org%2Fabs%2F1504.06999