Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types
Steven N. Evans (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Steven N. Evans (1997)
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This paper is concerned with classification criteria, asymptotic behaviour and stationarity of a non-Markovian model with linear transition rule, called a linear OM-chain. This problems are solved by making use of the structure of the stochastic matrix appearing in the definition of such a model. The model studied includes as special cases the Markovian model as well as the linear learning model, and has applications in psychological and biological research, in control theory, and in...