## 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 215

For a discussion of additional applications of stochastic processes in genetics we

Matecot [69,70], and Moran [73]. B. Random Drift in the Case of Two Alleles. We

now ...

For a discussion of additional applications of stochastic processes in genetics we

**refer**to the following: Bartlett [8], Feller [26], Kempthorne [42], Kimura [57],Matecot [69,70], and Moran [73]. B. Random Drift in the Case of Two Alleles. We

now ...

Page 351

For a detailed discussion of radiative transfer theory we

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

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

work ...

For a detailed discussion of radiative transfer theory we

**refer**to the books ofChandrasekar [3] and Kourganoffand Busbridge [6], and for a rigorous treatment

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

**refer**to thework ...

Page 372

For a stochastic approach to the kinetics of diffusion- controlled reactions we

to the paper of Waite [21]. And for some applications of the theory of diffusion-

controlled reactions to biological systems and the quenching of fluorescence we

...

For a stochastic approach to the kinetics of diffusion- controlled reactions we

**refer**to the paper of Waite [21]. And for some applications of the theory of diffusion-

controlled reactions to biological systems and the quenching of fluorescence we

...

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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