## 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 64

Page 125

Branching Stochastic Processes in Cascade Theory, Phys. Rev., vol. 96, pp. 751

–753, 1954. Bharucha-Reid, A. T.: On the Stochastic Theory of Epidemics, Proc.

**Math**. Biophys., vol. 15, pp. 361-365, 1953. Bharucha-Reid, A. T.: Age-dependentBranching Stochastic Processes in Cascade Theory, Phys. Rev., vol. 96, pp. 751

–753, 1954. Bharucha-Reid, A. T.: On the Stochastic Theory of Epidemics, Proc.

Page 126

Harris, T. E.: Some

Berkeley Symposium on

Hellinger, E., and H. S. Wall: Contributions to the Analytic Theory of Continued ...

Harris, T. E.: Some

**Mathematical**Models for Branching Processes, Proc. SecondBerkeley Symposium on

**Math**. Statistics and Probability, pp. 305-327, 1951.Hellinger, E., and H. S. Wall: Contributions to the Analytic Theory of Continued ...

Page 162

Darling, D. A., and A. J. F. Siegert: The First Passage Problem for a Continuous

Markov Process, Ann.

Theorie der stochastischen Prozesse (Existenz- und Eindeutigkeitssätze),

Darling, D. A., and A. J. F. Siegert: The First Passage Problem for a Continuous

Markov Process, Ann.

**Math**. Statist., vol. 24, pp. 624–639, 1953. Feller, W.: ZurTheorie der stochastischen Prozesse (Existenz- und Eindeutigkeitssätze),

**Math**.### 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 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