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arxiv: 1908.09284 · v1 · pith:VPO2PO5D · submitted 2019-08-25 · math.PR

Autocorrelation Function Characterization of Continuous Time Markov Chains

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classification math.PR
keywords autocorrelationchainsctmcsfunctionmarkovtimecontinuousspace
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We study certain properties of the function space of autocorrelation functions of Unit Continuous Time Markov Chains (CTMCs). It is shown that under particular conditions, the $L^p$ norm of the autocorrelation function of arbitrary finite state space CTMCs is infinite. Several interesting inferences are made for point processes associated with CTMCs/ Discrete Time Markov Chains (DTMCs).

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