Long-range dependence of positive Harris chains

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Article

Source Title

Journal of the Mathematical Society of the Philippines

Volume

30

Issue

2-3

First Page

1

Last Page

8

Publication Date

2007

Abstract

We apply the results on long-range dependence of renewal processes to positive Harris chains. An embedded renewal process is present in positive Harris chains when a proper atom exists. In the absence of proper atoms, an embedded renewal process is made available by using a small set to introduce a split chain or random renewal times.

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Disciplines

Mathematics

Keywords

Markov processes

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