Skip to main content
padlock icon - secure page this page is secure

A Versatile Birth—Death Model Applicable to Four Distinct Problems

Buy Article:

$52.00 + tax (Refund Policy)


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.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Keywords: coupon collecting; geological strata; queueing model; species replacement; type—token relationship

Document Type: Research Article

Affiliations: Mathematical Sciences Institute, The Australian National University, Canberra, Australia

Publication date: March 1, 2004

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more