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 390
... distribution F * ( w ) exists , is independent of the initial distribution ... function F * ( w ) exists , then Eq . ( 9.38 ) can be obtained from the ... distribution function , we must have lim q * ( s ) = 1 , and since lim [ 1 0 + 8 y ...
... distribution F * ( w ) exists , is independent of the initial distribution ... function F * ( w ) exists , then Eq . ( 9.38 ) can be obtained from the ... distribution function , we must have lim q * ( s ) = 1 , and since lim [ 1 0 + 8 y ...
Page 391
... distribution function is H ( x ) . If n ≥ 1 , the server , after serving the first customer , starts to attend one of the customers waiting in the queue . Let G , ( x ) denote the n - fold convolution of G ( x ) , i.e. , G , ( x ) is ...
... distribution function is H ( x ) . If n ≥ 1 , the server , after serving the first customer , starts to attend one of the customers waiting in the queue . Let G , ( x ) denote the n - fold convolution of G ( x ) , i.e. , G , ( x ) is ...
Page 394
... distribution function B ( § ) . 3. There is only one server at the counter . In view of the above assumptions , the ... distribution function of W1 ; that is , F ( t ) is the distribution function of the waiting time of the nth customer ...
... distribution function B ( § ) . 3. There is only one server at the counter . In view of the above assumptions , the ... distribution function of W1 ; that is , F ( t ) is the distribution function of the waiting time of the nth customer ...
Contents
Introduction | 1 |
Processes Discrete in Space and Time | 9 |
Processes Discrete in Space and Continuous in Time | 57 |
Copyright | |
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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