The Poisson-skip model introduced in this paper generalizes the
chi-square model of crossover interference. Both models are constructed from
the random points of a Poisson process occurring along a meiotic bundle of four
chromatids. The points of the Poisson process are divided into $\chi$ points
and o points, with $\chi$ points corresponding to crossovers. In the
chi-square model, a fixed number of o points intervene between every
adjacent pair of $\chi$ points; in the Poisson-skip model, a random number of
o points intervene. Both of these renewal models permit reasonably
straightforward calculation of gamete and tetrad probabilities for multiple
linked markers. We illustrate the data analysis possibilities of the
Poisson-skip model by fitting it to classical recombination data on
Drosophila, the mouse, and Neurospora. We also describe
conditions on the discrete skip distribution that guarantee positive
interference.
@article{1034625332,
author = {Lange, Kenneth and Zhao, Hongyu and Speed, Terence P.},
title = {The Poisson-skip model of crossing-over},
journal = {Ann. Appl. Probab.},
volume = {7},
number = {1},
year = {1997},
pages = { 299-313},
language = {en},
url = {http://dml.mathdoc.fr/item/1034625332}
}
Lange, Kenneth; Zhao, Hongyu; Speed, Terence P. The Poisson-skip model of crossing-over. Ann. Appl. Probab., Tome 7 (1997) no. 1, pp. 299-313. http://gdmltest.u-ga.fr/item/1034625332/