On the distribution of maximal percentages in pólya's urn

Saralees Nadarajah

doi:10.1017/S0269964816000358

On the distribution of maximal percentages in pólya's urn

Saralees Nadarajah^*

^*Corresponding author for this work

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Abstract

Schulte-Geers and Stadje [Journal of Applied Probability, 2015, 52: 180-190] gave several closed form expressions for the exact distribution of the all-Time maximal percentage in Pólya's urn model. But all these expressions corresponded to an integer parameter taking the value 1. Here, we derive much more general closed form expressions applicable for all possible values of the integer parameter. We also illustrate their computational efficiency.

Original language	English
Pages (from-to)	357-365
Number of pages	9
Journal	Probability in the Engineering and Informational Sciences
Volume	31
Issue number	3
Early online date	22 Sept 2016
DOIs	https://doi.org/10.1017/S0269964816000358
Publication status	Published - Jul 2017

Keywords

applied probability

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10.1017/S0269964816000358

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On the distribution of maximal percentages in pólya's urn

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