期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2010
卷号：72
期号：01
页码：170--190
出版社：Indian Statistical Institute
摘要：This article considers the convergence to steady states of Markov processes
generated by the action of successive i.i.d. monotone maps on a subset S of
an Eucledian space. Without requiring irreducibility or Harris recurrence, a
¡°splitting¡± condition guarantees the existence of a unique invariant probability
as well as an exponential rate of convergence to it in an appropriate
metric. For a special class of Harris recurrent processes on [0,∞) of interest
in economics, environmental studies and queuing theory, criteria are derived
for polynomial and exponential rates of convergence to equilibrium in total
variation distance. Central limit theorems follow as consequences.
