## 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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Results 1-3 of 31

Page 227

In the case of low

n can be interpreted as the number of hits with photons (or

is therefore independent of the

In the case of low

**radiation**intensities this knowledge is not easy to obtain. Sincen can be interpreted as the number of hits with photons (or

**radiation**quanta) andis therefore independent of the

**radiation**intensity, a sufficient degree of ...Page 351

The mathematical problems in radiative transfer theory are, in the main,

concerned with the solution of an integrodifferential equation for the specific

intensity of

the nature of ...

The mathematical problems in radiative transfer theory are, in the main,

concerned with the solution of an integrodifferential equation for the specific

intensity of

**radiation**. The particular equation involved will depend, of course, onthe nature of ...

Page 354

The first term on the right-hand side represents the decrease in the probability of

the state (p,t) if a parallel beam of

transmitted along the interval (t, t + dt) without being scattered or absorbed, and

the ...

The first term on the right-hand side represents the decrease in the probability of

the state (p,t) if a parallel beam of

**radiation**emerging in the direction p wastransmitted along the interval (t, t + dt) without being scattered or absorbed, and

the ...

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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