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Age distributions for Markov processes in genetics

Age distributions for Markov processes in genetics

Advances in Applied Probability 10(1): 17-19

ISSN/ISBN: 0001-8678

DOI: 10.2307/1426715

A population is considered of fixed size M, in which each individual is of type A or B at a locus. Xn is the number of A individuals at time n. Then (Xn, n more than or equal to 0) is a Markov chain with transition matrix P, state space and absorbing barriers at 0 and M. From the return chain is constructed by returning the X-process to state 1 whenever it hits 0, or to state M-1 whenever it hits M.

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