Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: A Banach lattice approach

被引：0

作者：

Castro, Matheus M. ^{[1
]}

Lamb, Jeroen S. W. ^{[1
,2
,3
]}

Olicon-Mendez, Guillermo ^{[4
]}

Rasmussen, Martin ^{[1
]}

机构：

[1] Imperial Coll London, Dept Math, London SW7 2AZ, England

[2] Univ Tokyo, Int Res Ctr Neurointelligence, Tokyo 1130033, Japan

[3] Gulf Univ Sci & Technol, Ctr Appl Math & Bioinformat, Dept Math & Nat Sci, Halwally, Kuwait

[4] Univ Potsdam, Inst Math, Karl Liebknecht Str 24-25, D-14476 Potsdam, Germany

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2024年 / 173卷

基金：

英国工程与自然科学研究理事会; 巴西圣保罗研究基金会;

关键词：

Markov chains with absorption; Banach lattice; Quasi-stationary measure; Quasi-ergodic measure; Yaglom limit; ONE-DIMENSIONAL DIFFUSIONS; DISTRIBUTIONS; TIME; CONVERGENCE; LIMITS;

D O I：

10.1016/j.spa.2024.104364

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：

We establish the existence and uniqueness of quasi -stationary and quasi-ergodic measures for almost surely absorbed discrete -time Markov chains under weak conditions. We obtain our results by exploiting Banach lattice properties of transition functions under natural regularity assumptions.

引用

页数：19

共 36 条

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