## 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 199

For a detailed

book of Bailey [5]. Other

and 17. This section on the stochastic theory of epidemics has three subsections.

For a detailed

**discussion**of the mathematical theory of epidemics we refer to thebook of Bailey [5]. Other

**discussions**of epidemic theory are given in Refs. 8, 15,and 17. This section on the stochastic theory of epidemics has three subsections.

Page 351

For a detailed

Chandrasekar[3] and Kourganoff and Busbridge [6], and for a rigorous treatment

of the theory based on measure theory and functional analysis, we refer to the

work ...

For a detailed

**discussion**of radiative transfer theory we refer to the books ofChandrasekar[3] and Kourganoff and Busbridge [6], and for a rigorous treatment

of the theory based on measure theory and functional analysis, we refer to the

work ...

Page 449

No attempt is made to give a complete

the next section we demonstrate the generation of an artificial realization of a

birth-and-death process. This is followed by a brief

applications ...

No attempt is made to give a complete

**discussion**of this very important area. Inthe next section we demonstrate the generation of an artificial realization of a

birth-and-death process. This is followed by a brief

**discussion**of someapplications ...

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### Contents

Introduction | 1 |

Processes Discrete in Space and Continuous in Time | 57 |

Processes Continuous in Space and Time | 129 |

Copyright | |

9 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 addition applications approach arrival associated assume assumptions becomes birth boundary branching processes called cascade coefficients collision concerned condition consider constant continuous counter death defined denote density derive described determined developed differential equation diffusion discussion distribution function electron energy epidemic equal exists expected expression finite fluctuation given gives growth Hence independent individuals initial condition integral interest interval introduce Kolmogorov equations Laplace transform length limit machine Markov Markov chain Markov processes Math mathematical mean method moments necessary nucleon obtain particle particular photon Poisson population positive primary problem Proof properties queueing radiation random variable reaction refer relation represent respectively satisfies shown simple ſº solution Statist Stochastic Processes Theorem theory tion transition probabilities zero