On generalized Pólya urn models

✍ Scribed by Samuel Kotz; Hosam Mahmoud; Philippe Robert

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 125 KB
• Volume: 49
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(00)00045-6

✦ Synopsis

We consider a general two-color urn model characterized by a 2 × 2 matrix of integers a b c d without constraints on the values of these four integers other than non-negativity. Exact distributions of the number of balls of a speciÿc color that appear after n draws are presented. Via Poissonization, we obtain an asymptotic mean for a speciÿc example to illustrate that asymptotics of bona ÿde nature may appear in non-classical urn models.