منابع مشابه
Two questions on linear QBD’s (quasi-birth-and-death) processes
Contents 1 Quasi birth and death processes 1 2 The QBD of the linear retrial/overflow model 3 3 The factorial moments 8 1 Quasi birth and death processes Motivation. Many important stochastic models involve mul-tidimensional random walks with discrete state space, whose coordinates split naturally into
متن کاملAssociation Behaviour in Non-Linear Death Processes
Transition probabilities within a birth and death process are difficult to find analytically. As a consequence pure birth and pure death processes are considered in seperate systems and it is found that both systems can be fully specified from intensity specifications. In a linear continuous-time Markovian pure death process it is found that optional death times are independent. Faddy (1985) co...
متن کاملConsolidating Birth-Death and Death-Birth Processes in Structured Populations
Network models extend evolutionary game theory to settings with spatial or social structure and have provided key insights on the mechanisms underlying the evolution of cooperation. However, network models have also proven sensitive to seemingly small details of the model architecture. Here we investigate two popular biologically motivated models of evolution in finite populations: Death-Birth ...
متن کاملAn Iterative Solution of Two-Dimensional Birth and Death Processes
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متن کاملLong term behaviour of two interacting birth-and-death processes
In this paper we study the long term evolution of a continuous time Markov chain formed by two interacting birth-and-death processes and motivated by modelling interaction between populations. We show transience/recurrence of the Markov chain under fairly general assumptions on transition rates and describe in more detail its asymptotic behaviour in some transient cases. 1 The model and results...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1963
ISSN: 0004-9735
DOI: 10.1017/s1446788700027683