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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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 birth process birth-and-death process boundary conditions 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 energy epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Laplace transform Let the random limit machine Markov chain Markov processes Math matrix Mellin transform Messel method Monte Carlo methods neutron nucleon nucleon cascades o(At obtain P₁ particle photon Phys Poisson process population probability distribution Proc product density 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