Hern andez-Su arez, C. M. and Castillo-Chavez, C. (1999). A basic result on the integral for birth-death Markov processes. Math. Biosci. 161, 95-104. Home/Search Document Details and Download
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Path Integrals For Continuous-Time Markov Chains - Pollett, Stefanov (2002) (Correct)
....behaviour by allowing the chain to perform in nitely many transitions in a nite time. Case (ii) was considered by Stefanov and Wang [12] for birthdeath processes. They derived an explicit expression for the expectation E i ( building on earlier work of Hern andez Su arez and Castillo Chavez [8], who studied the case i = 1 and f j = j. On dividing equation (2) by f i , we see that, conditional on X(0) i, has the same distribution as for the Markov chain with transition rates Q = q ij ; i; j 2 S) given by q ij = q ij =f i for all i 2 A such that f i 0, and q ij = q ij ....
Hern andez-Su arez, C. M. and Castillo-Chavez, C. (1999). A basic result on the integral for birth-death Markov processes. Math. Biosci. 161, 95-104.
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