Title: Genetic Linkage Analysis: an Irregular Statistical Problem

Linkage analysis, which has the goal of locating genes associated with particular traits in plants or animals (especially inherited diseases in humans), leads to a class of ``irregular'' statistical problems. These problems are discussed with reference to an idealized model, which serves as a point of departure for more realistic versions of the problem. Some general results, adapted from recent research into ``change-point'' problems, are presented; and more specific problems arising out of the underlying genetics are discussed.

1991 Mathematics Subject Classification: 62M40, 92D10

Keywords and Phrases: gene mapping, linkage analysis, change point, irregular

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