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
Results 1-3 of 82
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 ...
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 boundary branching processes cascade process cascade theory coefficients collision consider counter defined denote the number denote the probability derive deterministic differential equation diffusion equations diffusion processes distribution function E₁ electron-photon cascades epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Jánossy Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform Messel method Monte Carlo methods neutron nucleon nucleon cascades number of individuals o(At obtain P₁ photon Phys Poisson process population probability distribution Proc queueing process queueing system r₁ r₂ radiation Ramakrishnan random variable random variable X(t recurrent satisfies Statist stochastic model Stochastic Processes t₁ t₂ Takács Theorem tion transition probabilities X₁ zero дх