## 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

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Page 55

40

Soc, ser. B, vol. 11, pp. 230-264, 1949. 41

Markov Chains with an Enumerable Infinity of States, Proc. Cambridge Phil. Soc,

vol.

40

**Kendall**, D. G. : Stochastic Processes and Population Growth, J. Roy. Statist.Soc, ser. B, vol. 11, pp. 230-264, 1949. 41

**Kendall**, D. G. : On Non-dissipativeMarkov Chains with an Enumerable Infinity of States, Proc. Cambridge Phil. Soc,

vol.

Page 126

49

Statist., vol. 19, pp. 1-15, 1948. 50

Generation Time in the Development of a Stochastic Birth Process, Biometrika,

vol. 35, pp.

49

**Kendall**, D. G. : On the Generalized Birth-and-Death Process, Ann. Math.Statist., vol. 19, pp. 1-15, 1948. 50

**Kendall**, D. G. : On the Role of VariableGeneration Time in the Development of a Stochastic Birth Process, Biometrika,

vol. 35, pp.

Page 232

43

Processes with Applications to Biology, Physics, and Actuarial Science, J. Roy.

Statist. Soc., ser. A, vol. 110, pp. 130-137, 1947. 44

Modes ...

43

**Kendall**, D. G. : A Review of Some Recent Work on Discontinuous MarkoffProcesses with Applications to Biology, Physics, and Actuarial Science, J. Roy.

Statist. Soc., ser. A, vol. 110, pp. 130-137, 1947. 44

**Kendall**, D. G. : On SomeModes ...

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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