McArdle, DCU Birth-Death Processes B-D Process = Markov Chain with transitions between adjacent states of process only: ?0 0 ì1 1 ì2 ?1 2 k-1 ìk ?k-1 k ìk+1 ?k k+1 The state transition-rate diagram of the general Birth-Death process Numbered circles = states = number of ...
We consider the birth-death process, the parameters of which are determined according to the external environment. The latter is described by a continuous-time Markov chain. In the literature, such processes are designated as Markov-modulated. They allow making such processes time-dependent. ...
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Markov chain : discret - time markov chains , classification of states , ergodic , stationary distribution . continuous - time markov chains , birth and death process 马尔可夫链：离散时间的马尔可夫链，状态的分类，遍历性，平稳分布。连续时间的马尔可夫链，生灭过程。The characteristic...
Birth and death Markov processes can model stochastic physical systems from percolation to disease spread and, in particular, wildfires. We introduce and analyze a birth-death-suppression Markov process as a model of controlled culling of andynamic population. Using analytic techniques, we characterize...
This chapter introduces three preliminary topics that will serve as the basis for much of the first part of this book (the first four chapters), which focuses on continuous-time Markov chain models. The three topics are (a) the birth—death process and related queueing models in Section 1.1...
(Assuming the marks are not a function of the position of the point, e.g. distance of the point to some existing structure) The only literature I found that touched a little bit on Birth Death MH algorithm for marked point process is 'Perfect simulation for marked poin...
生死Markov链 1) birth and death Markov chain Moner Carlo 生死Markov链 2) markov chain Markov链 1. Quality adjusted survival analysis by Markov chain embedded with Cox model; 将COX模型嵌入Markov链进行调整的生存质量分析 2. A application of the IML process in the SAS system on Markov chain ...
A new structure with the special property that an instantaneous reflection barrier is imposed on the ordinary birth-death processes is considered. An easy-checking criterion for the existence of such Markov processes is first obtained. The uniqueness criterion is then established. In the nonunique ca...
Let $(Y_n)$ be a recurrent Markov chain with discrete or continuous state space. A model of a birth and death chain $(Z_n)$ controlled by a random environment $(Y_n)$ is formulated wherein the bivariate process $(Y_n, Z_n)$ is taken to be Markovian and the marginal process $...