6.6.1 Let Yn;n D 0;1; : : : ; be a discrete time Markov chain with transition...

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6.6.1 Let Yn;n D 0;1; : : : ; be a discrete time Markov chain with transition probabilities P D kPijk, and let fN.t/I t  0g be an independent Poisson process of rate .

Argue that the compound process X.t/ D YN.t/; t  0;

is a Markov chain in continuous time and determine its infinitesimal parameters.

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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