Markov processes for modeling and analyzing a new genetic mapping method

Abstract

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 top-values for the existence of genes for particular traits. The methods elaborated by Aldous (1989) provide very accurate approximatep-values, as spot-checked against simulations.