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2002
WE TURN now to the continuous time version of the Markov property. Some of the simplicity of Chapter 2 is retained, because we assume the state space S is discrete. Usually we can suppose that S = {0, 1, … }. The succession of states visited still follows a discrete parameter Markov chain but now the flow of time is perturbed by exponentially ...
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WE TURN now to the continuous time version of the Markov property. Some of the simplicity of Chapter 2 is retained, because we assume the state space S is discrete. Usually we can suppose that S = {0, 1, … }. The succession of states visited still follows a discrete parameter Markov chain but now the flow of time is perturbed by exponentially ...
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2019
The first part of this chapter presented the definition of a continuous-time Markov chain with two properties, and the introduction of a B&D process with some special examples such as homogeneous Poisson process as a pure birth process, and the population model as a B&D process.
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The first part of this chapter presented the definition of a continuous-time Markov chain with two properties, and the introduction of a B&D process with some special examples such as homogeneous Poisson process as a pure birth process, and the population model as a B&D process.
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