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 198
... tion the occurrence of phenotypic delay . This effect is very important in the study of mutation processes , since the appearance of the charac- teristic which differentiates normal and mutant forms , termed pheno- typic expression ...
... tion the occurrence of phenotypic delay . This effect is very important in the study of mutation processes , since the appearance of the charac- teristic which differentiates normal and mutant forms , termed pheno- typic expression ...
Page 200
... tion of homogeneous mixing of the population and let — ... 9 μx ( n − x + 1 ) At + o ( At ) denote the probability that one new infection will take place in the interval ( t , t + At ) . Since the random variable X ( t ) can only ...
... tion of homogeneous mixing of the population and let — ... 9 μx ( n − x + 1 ) At + o ( At ) denote the probability that one new infection will take place in the interval ( t , t + At ) . Since the random variable X ( t ) can only ...
Page 339
... tion between the densities at n points in the field , since it is this correla- tion function which is of primary interest in the astrophysical problem . Let the vector t = ( t ( 1 ) , ' , ... , t ( n ) ) denote the position of a point ...
... tion between the densities at n points in the field , since it is this correla- tion function which is of primary interest in the astrophysical problem . Let the vector t = ( t ( 1 ) , ' , ... , t ( n ) ) denote the position of a point ...
Contents
Introduction | 1 |
THEORY | 7 |
Processes Discrete in Space and Continuous in Time | 53 |
Copyright | |
16 other sections not shown
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 applications arrival 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 derive determined deterministic differential equation diffusion equations diffusion processes distribution function E₁ electron electron-photon cascades energy epidemic equilibrium exists expression Feller finite functional equation given Hence initial condition integral equation interval 0,t ionization joins the queue Kendall Kolmogorov equations Laplace transform Laplace-Stieltjes transform Let the random limiting distribution Markov chain Markov processes Math matrix Mellin transform Monte Carlo methods nonnegative nucleon o(At obtain P₁ parameter particle photon Phys Poisson process population probability distribution Proc product density queueing process queueing system Ramakrishnan random variable random variable X(t recurrent repairman satisfies Statist stochastic model Stochastic Processes t₁ Takács Theorem tion transition probabilities x₁ zero