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Central Limit Theorems for Markov-Connected Random Variables

✍ Scribed by E. Liebscher

Publisher: John Wiley and Sons
Year: 1992
Tongue: English
Weight: 642 KB
Volume: 156
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19921560111

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✦ Synopsis

Abstract

The paper provides some central limit theorems for triangular arrays of Markov‐connected random variables. It is assumed the Markov chain to satisfy condition (D~1~) which is an generalization of strong Doeblin's condition (D~o~). One result represents a central limit theorem without the assumption of finite variances.

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