## 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 65

Page 72

... Kendall and Reuter [54], and Reuter [73]. 2.4 Some Discontinuous Markov

Processes and Their Properties A. Introduction. In this section we consider

several discontinuous Markov processes; in particular, we consider the Poisson,

... Kendall and Reuter [54], and Reuter [73]. 2.4 Some Discontinuous Markov

Processes and Their Properties A. Introduction. In this section we consider

several discontinuous Markov processes; in particular, we consider the Poisson,

**simple**...Page 123

2.12 Find 9(X(t) > x} for (a) the Poisson process, (b) the

(c) the

function as a power series in s and then use Maclaurin's theorem with remainder

...

2.12 Find 9(X(t) > x} for (a) the Poisson process, (b) the

**simple**birth process, and(c) the

**simple**birth-and-death process. (Hint: Expand the associated generatingfunction as a power series in s and then use Maclaurin's theorem with remainder

...

Page 169

We also consider age-dependent models of population growth and the diffusion

equation representation of growth processes. wa B.

Population Growth. In this section we discuss some properties of certain

We also consider age-dependent models of population growth and the diffusion

equation representation of growth processes. wa B.

**Simple**Stochastic Models forPopulation Growth. In this section we discuss some properties of certain

**simple**...### 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