Article contents
On coupling of random walks and renewal processes
Published online by Cambridge University Press: 14 July 2016
Abstract
The use of Mineka coupling is extended to a case with a continuous state space: an efficient coupling of random walks S and S' in can be made such that S' — S is virtually a one-dimensional simple random walk. This insight settles a zero-two law of ergodicity. One more proof of Blackwell's renewal theorem is also presented.
MSC classification
- Type
- Research Papers
- Information
- Copyright
- Copyright © Applied Probability Trust 1996
References
- 2
- Cited by