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Long-Range Dependence of Markov Chains - Kristine Joy Carpio

Name: Long-Range Dependence of Markov Chains - Kristine Joy Carpio
Brand: OmniScriptum GmbH & Co. KG
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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 also carried out through positive Harris chains. Examples of these chains are presented, with particular attention given to long-range dependent Markov chains in single-server queues, namely, the waiting times of GI/G/1 queues and queue lengths at departure epochs in M/G/1 queues. The presence of long-range dependence in these processes is dependent on the moment index of the lifetime distribution of the service times. These processes of waiting times and queue sizes are also examined in a range of M/P/2 queues via simulation (here, $P$ denotes a Pareto distribution).

EAN: 9783843394956

Producent

OmniScriptum GmbH & Co. KG

Kod produktu

168FBX03527KS

Autorzy

Kristine Joy Carpio

Rok wydania

2011

Elementy

116

Oprawa

Oprawa Skórzana