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 193
... refer to the papers of Armitage [ 1 ] and Shapiro [ 84 ] for a discussion of the deterministic theory . Deterministic models , while adequate for describing the general trend of the mutation process , are clearly inadequate for a more ...
... refer to the papers of Armitage [ 1 ] and Shapiro [ 84 ] for a discussion of the deterministic theory . Deterministic models , while adequate for describing the general trend of the mutation process , are clearly inadequate for a more ...
Page 351
... refer to the books of Chandrasekar [ 3 ] and Kourganoff and Busbridge [ 6 ] , and for a rigorous treatment of the theory based on measure theory and functional analysis , we refer to the work of Preisendorfer [ 16 ] . In this section we ...
... refer to the books of Chandrasekar [ 3 ] and Kourganoff and Busbridge [ 6 ] , and for a rigorous treatment of the theory based on measure theory and functional analysis , we refer to the work of Preisendorfer [ 16 ] . In this section we ...
Page 372
... refer to Refs . 5 and 11 . For another application of diffusion and random - walk methods we refer to the paper of Medgyessy et al . [ 10 ] . The use of statistical theory in the study of polymer chains is well known . Markov chain ...
... refer to Refs . 5 and 11 . For another application of diffusion and random - walk methods we refer to the paper of Medgyessy et al . [ 10 ] . The use of statistical theory in the study of polymer chains is well known . Markov chain ...
Contents
Introduction | 1 |
Processes Discrete in Space and Time | 9 |
Processes Discrete in Space and Continuous in Time | 57 |
Copyright | |
13 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 |
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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