Elements of the Theory of Markov Processes and Their ApplicationsThis graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also covers mathematical models based on the theory, employed in various applied fields. Prerequisites are a knowledge of elementary probability theory, mathematical statistics, and analysis. Appendixes. Bibliographies. 1960 edition. |
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Page 54
... Cascade Process , Proc . Cambridge Phil . Soc . , vol . 45 , pp . 360-363 , 1949 . 24 Good , I. J .: Random Motion on a Finite Abelian Group , Proc . Cambridge Phil . Soc . , vol . 47 , pp . 756-762 , 1951 . 25 Good , I. J .: The Joint ...
... Cascade Process , Proc . Cambridge Phil . Soc . , vol . 45 , pp . 360-363 , 1949 . 24 Good , I. J .: Random Motion on a Finite Abelian Group , Proc . Cambridge Phil . Soc . , vol . 47 , pp . 756-762 , 1951 . 25 Good , I. J .: The Joint ...
Page 55
... Cascade , Bull . acad . polon . sci . Classe III , vol . 3 , pp . 349–351 , 1955 . 59 Urbanik , K .: Remarks on the Equation of Branching Stochastic Processes ( in Polish ) , Zeszyty Nauk . Uniw . Wrocław . im . B. Bieruta , ser . B ...
... Cascade , Bull . acad . polon . sci . Classe III , vol . 3 , pp . 349–351 , 1955 . 59 Urbanik , K .: Remarks on the Equation of Branching Stochastic Processes ( in Polish ) , Zeszyty Nauk . Uniw . Wrocław . im . B. Bieruta , ser . B ...
Page 56
... Cascade Multiplication , Proc . Cambridge Phil . Soc . , vol . 44 , pp . 404-412 , 1948 . 63 Yaglom , A. M .: Certain Limit Theorems of the Theory of Branching Stochastic Processes ( in Russian ) , Doklady Akad . Nauk S.S.S.R. , n.s. ...
... Cascade Multiplication , Proc . Cambridge Phil . Soc . , vol . 44 , pp . 404-412 , 1948 . 63 Yaglom , A. M .: Certain Limit Theorems of the Theory of Branching Stochastic Processes ( in Russian ) , Doklady Akad . Nauk S.S.S.R. , n.s. ...
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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 deterministic differential equation diffusion equations diffusion processes distribution function E₁ E₂ electron-photon cascades epidemic expression Feller finite fluctuation problem functional equation given Hence initial condition integral equation interval 0,t ionization Jánossy Kendall Kolmogorov equations Laplace transform Let the random machine Markov chain Markov processes Math mathematical matrix Mellin transform Messel 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