THE EXISTENCE OF MOMENTS FOR STATIONARY MARKOV-CHAINS

被引：88

作者：

TWEEDIE, RL

机构：

来源：

JOURNAL OF APPLIED PROBABILITY | 1983年 / 20卷 / 01期

关键词：

D O I：

10.2307/3213735

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Conditions are given under which the stationary distribution pi of a Markov chain admits moments of the general form integral f(x) pi (dx), where f is a general function; specific examples include f(x) equals x**r and f(x) equals e**s**x. In general the time-dependent moments of the chain then converge to the stationary moments. It is shown that in special cases this convergence of moments occurs at a geometric rate. The results are applied to random walk on left bracket 0, infinity ).

引用

页码：191 / 196

页数：6

共 6 条

[1] SPLITTING TECHNIQUE FOR HARRIS RECURRENT MARKOV-CHAINS
NUMMELIN, E
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 43 (04): : 309 - 318
[2] GEOMETRIC ERGODICITY AND R-POSITIVITY FOR GENERAL MARKOV-CHAINS
NUMMELIN, E
TWEEDIE, RL
[J]. ANNALS OF PROBABILITY, 1978, 6 (03) : 404 - 420
[3] NUMMELIN E, 1982, STOCHASTIC PROCESS A, V0012, P00187
[4] R-THEORY FOR MARKOV-CHAINS ON A TOPOLOGICAL STATE SPACE .2.
POLLARD, DB
TWEEDIE, RL
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 34 (04): : 269 - 278
[5] CRITERIA FOR CLASSIFYING GENERAL MARKOV-CHAINS
TWEEDIE, RL
[J]. ADVANCES IN APPLIED PROBABILITY, 1976, 8 (04) : 737 - 771
[6] TWEEDIE RL, 1982, PAPERS PROBABILITY S

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