A versatile birth-death model applicable to four distinct problems

J. Gani

doi:10.1111/j.1467-842X.2004.00307.x

A versatile birth-death model applicable to four distinct problems

J. Gani^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	13-21
Number of pages	9
Journal	Australian and New Zealand Journal of Statistics
Volume	46
Issue number	1
DOIs	https://doi.org/10.1111/j.1467-842X.2004.00307.x
Publication status	Published - Mar 2004

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10.1111/j.1467-842X.2004.00307.x

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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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AB - 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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A versatile birth-death model applicable to four distinct problems

Abstract

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