6.3.1 Let n;n D 0;1; : : : , be a two-state Markov chain with transition probability...

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6.3.1 Let n;n D 0;1; : : : , be a two-state Markov chain with transition probability matrix

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Let fN.t/I t 0g be a Poisson process with parameter . Show that X.t/ D N.t/; t 0;
is a two-state birth and death process and determine the parameters 0 and 1 in terms of and .

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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