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 99
... described as a multiple - phase birth process . This process can be described as follows : When an individual is born , it passes through a series of distinct phases , say k in number , and only after it has completed the kth phase does ...
... described as a multiple - phase birth process . This process can be described as follows : When an individual is born , it passes through a series of distinct phases , say k in number , and only after it has completed the kth phase does ...
Page 129
... described as follows : for a small time interval At the probability of no change of state exceeds the probability of a change of state ; however , should a change take place , it may be rather striking . This chapter will be devoted to ...
... described as follows : for a small time interval At the probability of no change of state exceeds the probability of a change of state ; however , should a change take place , it may be rather striking . This chapter will be devoted to ...
Page 213
... described as follows : To fix ideas , consider a finite population of size N whose members have alleles A , and A , and let x = A1 / ( A1 + A2 ) denote the frequency of A , in the population . Let the random variable X ( t ) represent ...
... described as follows : To fix ideas , consider a finite population of size N whose members have alleles A , and A , and let x = A1 / ( A1 + A2 ) denote the frequency of A , in the population . Let the random variable X ( t ) represent ...
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