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 57
... Markov processes.1 In Sec . 2.2 we derive the fundamental integrodifferential equations of Markov processes of this type . These equations are specialized in Sec . 2.3 , where we study the Kolmogorov differential equations . The ...
... Markov processes.1 In Sec . 2.2 we derive the fundamental integrodifferential equations of Markov processes of this type . These equations are specialized in Sec . 2.3 , where we study the Kolmogorov differential equations . The ...
Page 125
... Markov Chains with Application to the Uniqueness Problem for Markov Processes , Ann . Math . Statist . , vol . 28 , pp . 499-503 , 1957 . 17 Chung , K. L .: Foundations of the Theory of Continuous Parameter Markov Chains , Proc . Third ...
... Markov Chains with Application to the Uniqueness Problem for Markov Processes , Ann . Math . Statist . , vol . 28 , pp . 499-503 , 1957 . 17 Chung , K. L .: Foundations of the Theory of Continuous Parameter Markov Chains , Proc . Third ...
Page 377
... Markov chain . Next we consider the representation of queueing systems as Markov processes . In this case the Kolmogorov equations are employed . The third method of representing queueing systems leads to mixed Markov processes ...
... Markov chain . Next we consider the representation of queueing systems as Markov processes . In this case the Kolmogorov equations are employed . The third method of representing queueing systems leads to mixed Markov processes ...
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