## 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 88

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 FunctionaU. 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

In recent years a very old, but seemingly new,

many problems in applied probability for which analytical

developed. The

be ...

In recent years a very old, but seemingly new,

**method**has been used to treatmany problems in applied probability for which analytical

**methods**have not beendeveloped. The

**method**we refer to is called the Monte Carlo**method**, and it canbe ...

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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