## 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. |

### From inside the book

Results 1-3 of 86

Page 264

The

between two fundamental equations in cascade theory, is discussed in the

section on nucleon cascades. 3. The

theory of ...

The

**method**developed by Messel and Potts, which utilizes a simple relationbetween two fundamental equations in cascade theory, is discussed in the

section on nucleon cascades. 3. The

**Method**of Characteristic Functional. In thetheory of ...

Page 377

We have observed that the stochastic processes occurring in the theory of

queues are in general non-Mar- kovian; hence, special

order to study their properties. In this section we shall discuss several different

We have observed that the stochastic processes occurring in the theory of

queues are in general non-Mar- kovian; hence, special

**methods**are needed inorder to study their properties. In this section we shall discuss several different

**methods**...Page 449

APPENDIX C Monte Carlo

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 ...

APPENDIX C 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 ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 1 |

Processes Discrete in Space and Time | 9 |

Processes Discrete in Space and Continuous in Time | 57 |

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 associated assume assumptions asymptotic birth process birth-and-death process branching processes cascade process cascade theory coefficient collision consider defined denote the number denote the probability derive determined deterministic differential equation diffusion equations diffusion processes distribution function electron-photon cascades epidemic exists expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval ionization Kendall Kolmogorov equations Laplace transform Laplace-Stieltjes transform Let the random machine Markov chain Markov processes Math mathematical matrix mean and variance mean number Mellin transform Messel method Monte Carlo methods mutation neutron nonnegative nucleon nucleon cascades number of electrons number of individuals o(At obtain parameter photon Phys Poisson process probability distribution Proc Px(t queueing process queueing system radiation Ramakrishnan random variable random variable X(t reaction recurrent refer satisfies solution of Eq Statist stochastic model Stochastic Processes Theorem tion transition probabilities zero