%0 Journal Article %1 cannings_1974 %A Cannings, C. %D 1974 %I Applied Probability Trust %J Advances in Applied Probability %K Cannings_model Moran_model coalescent_theory exchangeability wright_fisher_model %N 2 %P 260--290 %T The Latent Roots of Certain Markov Chains Arising in Genetics: A New Approach, I. Haploid Models %U http://www.jstor.org/stable/1426293 %V 6 %X Haploid models of genetic drift in populations of constant size are considered. Generalizations of the models of Moran and Wright have been developed by Karlin and McGregor (for multiple alleles and non-overlapping generations), by Chia and Watterson (for two alleles and overlapping or non-overlapping generations) and by Chia (for multiple alleles and overlapping or non-overlapping generations), using conditioned branching processes. A new approach is developed which contains the models mentioned above and provides simpler expressions for the latent roots. A greater dependence between the birth events and death events can be permitted, and non-independent mutations treated.

@article{cannings_1974, abstract = {Haploid models of genetic drift in populations of constant size are considered. Generalizations of the models of Moran and Wright have been developed by Karlin and McGregor (for multiple alleles and non-overlapping generations), by Chia and Watterson (for two alleles and overlapping or non-overlapping generations) and by Chia (for multiple alleles and overlapping or non-overlapping generations), using conditioned branching processes. A new approach is developed which contains the models mentioned above and provides simpler expressions for the latent roots. A greater dependence between the birth events and death events can be permitted, and non-independent mutations treated.}, added-at = {2009-09-25T23:21:35.000+0200}, author = {Cannings, C.}, biburl = {https://www.bibsonomy.org/bibtex/207e090243bc7c00f8bd667d6d27b1adc/peter.ralph}, copyright = {Copyright © 1974 Applied Probability Trust}, interhash = {2480f92afd10663d7621b9c1adbb46e5}, intrahash = {07e090243bc7c00f8bd667d6d27b1adc}, issn = {00018678}, journal = {Advances in Applied Probability}, jstor_articletype = {primary_article}, jstor_formatteddate = {Jun., 1974}, keywords = {Cannings_model Moran_model coalescent_theory exchangeability wright_fisher_model}, number = 2, pages = {260--290}, publisher = {Applied Probability Trust}, timestamp = {2016-11-02T18:42:52.000+0100}, title = {The Latent Roots of Certain Markov Chains Arising in Genetics: A New Approach, I. Haploid Models}, url = {http://www.jstor.org/stable/1426293}, volume = 6, year = 1974 }