## 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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Results 1-3 of 12

Page 449

Although the theory of stochastic processes has found many fruitful applications

in the sciences and engineering, it is clear to most workers in applied probability

...

**Monte**.**Carlo**.**Methods**. in. the. Study. of. Stochastic. Processes. A. Introduction.Although the theory of stochastic processes has found many fruitful applications

in the sciences and engineering, it is clear to most workers in applied probability

...

Page 455

In the stochastic theory of epidemics

generate artificial epidemics. The epidemic situation is far more complicated than

population growth (except perhaps in the case of mutations), since we must take

...

In the stochastic theory of epidemics

**Monte Carlo methods**have been used togenerate artificial epidemics. The epidemic situation is far more complicated than

population growth (except perhaps in the case of mutations), since we must take

...

Page 456

9

procedure used is explained very clearly, and it can serve as a guide for other

studies of similar situations. Bibliography 1 Bartholomay, A. F.: A Stochastic

Approach to ...

9

**Monte Carlo methods**are applied to a specific queueing situation. Theprocedure used is explained very clearly, and it can serve as a guide for other

studies of similar situations. Bibliography 1 Bartholomay, A. F.: A Stochastic

Approach to ...

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### Contents

Preface | 1 |

Processes Continuous In Space and Time | 3 |

Processes Discrete in Space and Time | 9 |

Copyright | |

10 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 Acad applications assume assumptions asymptotic birth process birth-and-death process cascade process cascade theory coefficient collision consider counter defined denote the number denote the probability derive determined deterministic differential equation diffusion equations diffusion processes discrete branching process distribution function electron-photon cascades epidemic exists expression extinction Feller finite fluctuation functional equation gambler's ruin given Hence independent initial condition integral equation interval introduce ionization Kendall Kolmogorov equations Laplace transform Laplace-Stieltjes transform Let the random limit theorems machine Markov chain Markov processes Math mathematical matrix Mellin transform method Monte Carlo methods neutron nonnegative nucleon nucleon cascades number of individuals o(At obtain photon Poisson process population positive probability distribution problem Proc Px(t queueing process queueing system radiation Ramakrishnan random variable random variable X(t random walk recurrent refer satisfies sequence Statist stochastic model Stochastic Processes tion transition probabilities zero