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Long-Range Dependence of Markov Processes

Carpio, Kristine Joy Espiritu

Description

Long-range dependence in discrete and continuous time Markov chains over a countable state space is defined via embedded renewal processes brought about by visits to a fixed state. In the discrete time chain, solidarity properties are obtained and long-range dependence of functionals are examined. On the other hand, the study of LRD of continuous time chains is defined via the number of visits in a given time interval. Long-range dependence of Markov chains over a non-countable state space is...[Show more]

CollectionsOpen Access Theses
Date published: 2006-09
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/46236
http://digitalcollections.anu.edu.au/handle/1885/46236

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