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 222
... Problems . In this section we discuss briefly several additional problems in the theory of gene frequencies that can be treated by using the theory presented in Chap . 3 . 1. First - passage Time Problems for the Fixed Classes . A problem ...
... Problems . In this section we discuss briefly several additional problems in the theory of gene frequencies that can be treated by using the theory presented in Chap . 3 . 1. First - passage Time Problems for the Fixed Classes . A problem ...
Page 288
... problem is to determine the distribution of the thickness of the matter traversed by the particle before it drops below a given critical energy Ec Jánossy [ 39 ] has used the Poisson process as a simple stochastic model of straggling ...
... problem is to determine the distribution of the thickness of the matter traversed by the particle before it drops below a given critical energy Ec Jánossy [ 39 ] has used the Poisson process as a simple stochastic model of straggling ...
Page 292
... Problem in Electron- Photon Cascade Theory and the Probability Distribution Function , Proc . Phys . Soc . ( London ) , ser . A , vol . 64 , pp . 807-813 , 1951 . 59 Messel , H .: The Solution of the Fluctuation Problem in Nucleon ...
... Problem in Electron- Photon Cascade Theory and the Probability Distribution Function , Proc . Phys . Soc . ( London ) , ser . A , vol . 64 , pp . 807-813 , 1951 . 59 Messel , H .: The Solution of the Fluctuation Problem in Nucleon ...
Contents
Introduction | 1 |
Processes Discrete in Space and Time | 9 |
Processes Discrete in Space and Continuous in Time | 57 |
Copyright | |
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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 applications assume assumptions asymptotic birth process birth-and-death process boundary branching processes cascade process cascade theory coefficient collision consider counter defined denote the number denote the probability deterministic differential equation diffusion equations diffusion processes discrete branching process distribution function E₁ electron-photon cascades energy epidemic exists expression Feller finite functional equation given Hence initial condition integral equation interval 0,t ionization Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform method Monte Carlo methods neutron nonnegative nucleon number of individuals o(At obtain P₁ photon Poisson process population probability distribution problem Proc product density queueing system r₁ radiation Ramakrishnan random variable random variable X(t random walk recurrent satisfies sequence Statist stochastic model Stochastic Processes t₁ t₂ Takács tion transition probabilities X₁ zero дх