%0 Journal Article %1 kingman1982coalescent %A Kingman, J.F.C. %D 1982 %J Stochastic Processes and their Applications %K Kingmans_coalescent Poisson_construction coalescent_theory coupling exchangeability paintbox %N 3 %P 235 - 248 %R http://dx.doi.org/10.1016/0304-4149(82)90011-4 %T The coalescent %U http://www.sciencedirect.com/science/article/pii/0304414982900114 %V 13 %X The n-coalescent is a continuous-time Markov chain on a finite set of states, which describes the family relationships among a sample of n members drawn from a large haploid population. Its transition probabilities can be calculated from a factorization of the chain into two independent components, a pure death process and a discrete-time jump chain. For a deeper study, it is useful to construct a more complicated Markov process in which n-coalescents for all values of n are embedded in a natural way.

@article{kingman1982coalescent, abstract = {The n-coalescent is a continuous-time Markov chain on a finite set of states, which describes the family relationships among a sample of n members drawn from a large haploid population. Its transition probabilities can be calculated from a factorization of the chain into two independent components, a pure death process and a discrete-time jump chain. For a deeper study, it is useful to construct a more complicated Markov process in which n-coalescents for all values of n are embedded in a natural way.}, added-at = {2014-05-06T00:22:10.000+0200}, author = {Kingman, J.F.C.}, biburl = {https://www.bibsonomy.org/bibtex/2e9869bec5b5ebd29fdadda62338c9786/peter.ralph}, doi = {http://dx.doi.org/10.1016/0304-4149(82)90011-4}, interhash = {5355d1b0f4773f32be9847de85f3849b}, intrahash = {e9869bec5b5ebd29fdadda62338c9786}, issn = {0304-4149}, journal = {Stochastic Processes and their Applications }, keywords = {Kingmans_coalescent Poisson_construction coalescent_theory coupling exchangeability paintbox}, number = 3, pages = {235 - 248}, timestamp = {2014-05-06T00:22:10.000+0200}, title = {The coalescent }, url = {http://www.sciencedirect.com/science/article/pii/0304414982900114}, volume = 13, year = 1982 }