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Cycle Representations of Markov Processes Book

Cycle Representations of Markov Processes
Cycle Representations of Markov Processes, , Cycle Representations of Markov Processes has a rating of 2.5 stars
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Cycle Representations of Markov Processes, , Cycle Representations of Markov Processes
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  • Cycle Representations of Markov Processes
  • Written by author Sophia L. Kalpazidou
  • Published by Springer-Verlag New York, LLC, May 2006
  • This book is a prototype providing new insight into Markovian dependence via the cycle decompositions. It presents a systematic account of a class of stochastic processes known as cycle (or circuit) processes - so-called because they may be defined by dir
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Authors

IFundamentals of the cycle representations of Markov processes
1Directed circuits3
2Genesis of Markov chains by circuits : the circuit chains17
3Cycle representations of recurrent denumerable Markov chains29
4Circuit representations of finite recurrent Markov chains55
5Continuous parameter circuit processes with finite state space73
6Spectral theory of circuit processes93
7Higher-order circuit processes101
8Cycloid Markov processes131
9Markov processes on Banach spaces on cycles145
10The cycle measures163
11Wide-ranging interpretations of the cycle representations of Markov processes187
IIApplications of the cycle representations
1Stochastic properties in terms of circuits207
2Levy's theorem concerning positiveness of transition probabilities225
3The rotational theory of Markov processes231


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