## 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 91

Page 52

It is well known (principle of contraction mappings") that every contraction

mapping

i.e., the equation Ta' = a has one and only one solution. Show that the generating

...

It is well known (principle of contraction mappings") that every contraction

mapping

**defined**on a complete metric space 3 has one and only one fixed point;i.e., the equation Ta' = a has one and only one solution. Show that the generating

...

Page 211

The latent period is

which the organisms are multiplying but the infected individual is unable to infect

other individuals. The infectious period is

The latent period is

**defined**as the interval of time, following infection, duringwhich the organisms are multiplying but the infected individual is unable to infect

other individuals. The infectious period is

**defined**as the interval of time during ...Page 283

We now

theory, and in the next section we derive the integral equations which the product

density functions satisfy in the case of an electron-photon cascade. Let F,(E1, ...,

E.

We now

**define**the product density functions in the Ramakrishnan-Srinivasantheory, and in the next section we derive the integral equations which the product

density functions satisfy in the case of an electron-photon cascade. Let F,(E1, ...,

E.

### 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