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 9
... branching processes . The mathematical model of a discrete branching process can be thought of as a representation ... processes as discrete Markov chains with a denumerable number of states . The fundamental definitions and properties ...
... branching processes . The mathematical model of a discrete branching process can be thought of as a representation ... processes as discrete Markov chains with a denumerable number of states . The fundamental definitions and properties ...
Page 44
Albert T. Bharucha-Reid. In Chap . 3 the theory of diffusion processes will be considered , and the representation of discrete branching processes as diffusion processes will be presented at that time . B. Random - walk and Branching ...
Albert T. Bharucha-Reid. In Chap . 3 the theory of diffusion processes will be considered , and the representation of discrete branching processes as diffusion processes will be presented at that time . B. Random - walk and Branching ...
Page 47
... branching process : The population size in the zero generation is i , 0 < i < ∞ . Since the above random walk is equivalent to a twofold branching , the associated generating ... PROCESSES 47 N-dimensional Branching Processes Problems.
... branching process : The population size in the zero generation is i , 0 < i < ∞ . Since the above random walk is equivalent to a twofold branching , the associated generating ... PROCESSES 47 N-dimensional Branching Processes Problems.
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 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