Quasi-stationary distributionTime-homogeneityThis paper concerns discrete-time time-homogeneous birth-death processes on a finite state space, containing a single absorbing state, with interval-valued transition probabilities. As absorption is certain, the quasi-stationary behaviour of the process is ...
Thirdly, one determines the rate of convergence of the distribution of X(t), conditioned on nonabsorption up to time t, to its limit. Some examples conclude the paper. The main tools are the spectral representation for the transition probabilities of the birth-death process and a duality ...
Some examples conclude the paper. Our main tools are the spectral representation for the transition probabilities of a birth-death process and a duality concept for birth-death processes. 展开 关键词: Decay parameter Duality Orthogonal polynomials Quasi-limiting distribution Quasi-stationary distribution ...
By using the method of quasi-birth and death process, we obtain stationary distribution for the number of breakdown machines and distribution of the waiting time. 利用拟生灭过程的方法,给出了稳态下机器故障数的分布和等待维修时间的分布。 3. Research on machine-repair model including the use of ...
k k+1 The state transition-rate diagram of the general Birth-Death process Numbered circles = states = number of packets in system Arrows = possible transitions = change in number of packets in system Arrow labels = transition-rates between states λk = birth-rate when process in state k ...
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...
Quasi-Stationary Distributions and Convergence to Quasi-Stationarity of Birth-Death Processes For a birth-death process (X(t), t≥ 0) on the state space {-1,0,1, }, where -1 is an absorbing state which is reached with certainty and {0,1, } is an irr... EAV Doorn - 《Advances ...
The total number of particles in this coupled birth–death process is conserved . We are interested in the probability P(N, t) of finding the system in configuration N at time t. The temporal evolution of the probability distribution P(N, t) is governed by the classical master equation17,...
Gives the probability of droplet collision and the model, discusses the sub-droplet collision and cause changes in the number of birth-death process characteristics, the unconditional probability equations from the stationary distribution, obtained in the reaction zone of the sub-droplet flow and th ...
We study the unimodality properties of stationary population size distribution of the birth and death process. Special cases such as M/M/$s$ $(1\le s\le\infty)$ queues and linear growth model with immigration are examined. A characterization of M/M$/s$ $(1\le s\le\infty)$ via ...