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 26
... Number of Generations to Extinction In the preceding section we showed that , when the expected number of ... mean first- passage time or the mean number of generations to extinction . For another approach to this problem we refer to the ...
... Number of Generations to Extinction In the preceding section we showed that , when the expected number of ... mean first- passage time or the mean number of generations to extinction . For another approach to this problem we refer to the ...
Page 249
... number of particles in the cascade at thickness t , these particles being distributed in a continuous infinity of ... mean number of particles 1 The term " particle " is used here in a generic sense , i.e. , it is used to designate ...
... number of particles in the cascade at thickness t , these particles being distributed in a continuous infinity of ... mean number of particles 1 The term " particle " is used here in a generic sense , i.e. , it is used to designate ...
Page 262
... mean number of particles S ,, ( e , t ) is of the same order of magnitude as the probability distribution P1 , ( e ... mean number of photons to the mean number of electrons . In particular , it has been shown that and Si.2 ( e ' , t ) ...
... mean number of particles S ,, ( e , t ) is of the same order of magnitude as the probability distribution P1 , ( e ... mean number of photons to the mean number of electrons . In particular , it has been shown that and Si.2 ( e ' , t ) ...
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