Elements of the Theory of Markov Processes and Their ApplicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |
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Page 180
... consider several special cases of this model that are of interest . Before considering the stochastic model , we give a brief sketch of two deterministic models the stochastic analogues of which will be special cases of the general ...
... consider several special cases of this model that are of interest . Before considering the stochastic model , we give a brief sketch of two deterministic models the stochastic analogues of which will be special cases of the general ...
Page 238
... consider the problem of formulating the development of a cascade process within the framework of the theory of stochastic processes . That is , we consider the problem of determining the proba- bility distribution of the state variables ...
... consider the problem of formulating the development of a cascade process within the framework of the theory of stochastic processes . That is , we consider the problem of determining the proba- bility distribution of the state variables ...
Page 377
... consider queueing problems arising in the theory of telephone traffic , and in Sec . 9.4 we consider queueing problems associ- ated with the servicing of machines . In the last section , we consider two special queueing processes . The ...
... consider queueing problems arising in the theory of telephone traffic , and in Sec . 9.4 we consider queueing problems associ- ated with the servicing of machines . In the last section , we consider two special queueing processes . The ...
Contents
Introduction | 1 |
Processes Discrete in Space and Time | 9 |
Processes Discrete in Space and Continuous in Time | 57 |
Copyright | |
13 other sections not shown
Other editions - View all
Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |
Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |
Common terms and phrases
absorber applications assume assumptions asymptotic birth process birth-and-death process boundary branching processes cascade process cascade theory coefficient collision consider counter defined denote the number denote the probability deterministic differential equation diffusion equations diffusion processes discrete branching process distribution function E₁ electron-photon cascades energy epidemic exists expression Feller finite functional equation given Hence initial condition integral equation interval 0,t ionization Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform method Monte Carlo methods neutron nonnegative nucleon number of individuals o(At obtain P₁ photon Poisson process population probability distribution problem Proc product density queueing system r₁ radiation Ramakrishnan random variable random variable X(t random walk recurrent satisfies sequence Statist stochastic model Stochastic Processes t₁ t₂ Takács tion transition probabilities X₁ zero дх