A versatile birth–death model applicable to four distinct problems

A versatile birth–death model applicable to four distinct problems

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Article ID: iaor20051512
Country: Australia
Volume: 46
Issue: 1
Start Page Number: 13
End Page Number: 21
Publication Date: Jan 2004
Journal: Australian and New Zealand Journal of Statistics
Authors:
Abstract:

This paper revisits a simple birth–death model which arises in slightly different forms in four distinct stochastic problems. These are the barbershop queue, coupon collecting, vocabulary usage and geological dating. Discrete and continuous time Markov chains are used to characterize these problems. Somewhat different questions are posed for each particular case, and practical results are derived for each process. The paper concludes with some comments on the versatility of this applied probability model.

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