A note on coupling of birth and death processes
- 1 June 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 16 (03) , 505-512
- https://doi.org/10.1017/s002190020010765x
Abstract
The purpose of this note is to show how well the coupling device is fitted for use in the study of birth and death process asymptotics: known achievements get new proofs, and new results on rate of ‘forgetfulness of initial state' and stochastic domination are established.Keywords
This publication has 7 references indexed in Scilit:
- Stochastic Inequalities on Partially Ordered SpacesThe Annals of Probability, 1977
- A Probabilistic Proof of Blackwell's Renewal TheoremThe Annals of Probability, 1977
- On coupling of Markov chainsProbability Theory and Related Fields, 1976
- A maximal coupling for Markov chainsProbability Theory and Related Fields, 1975
- Uniform rates of convergence for Markov chain transition probabilitiesProbability Theory and Related Fields, 1974
- The classification of birth and death processesTransactions of the American Mathematical Society, 1957
- First passage and recurrence distributionsTransactions of the American Mathematical Society, 1952