This paper describes a set of stochastic processes that is useful for modeling and analyzing a new genetic mapping method. Some of the processes are Markov chains, and some are best described as functions of Markov chains. The central issue is boundary-crossing probabilities, which correspond to p -values for the existence of genes for particular traits. The methods elaborated by Aldous (1989) provide very accurate approximate p -values, as spot-checked against simulations.
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Eleanor Feingold (1993) studied this question.
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