Department of Mathematics
Markov Chain and Renewal Rates of Convergence.
Robert B. Lund
University of Georgia
We consider the problem of finding good geometric convergence rates for discrete-time renewal sequences and Markov chains. The goal is to identify an explicit rate bound and first constant that can be computed via minimal information. A general renewal convergence rate is first derived from the hazard rates of the renewal lifetimes. This result is used to obtain renewal convergence rates for lifetimes possessing the new worse than used, new better than used, increasing hazard rate, decreasing hazard rate, and stochastically monotone structures. Attention is then directed to Markov chain convergence issues.
All interested persons are welcome.
This talk should be accessible to upper-division students.