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Titlebook: Discrete Stochastic Processes; Robert G. Gallager Textbook 1996 Springer Science+Business Media New York 1996 Markov Chain.Markov Chains.S

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書目名稱Discrete Stochastic Processes
編輯Robert G. Gallager
視頻videohttp://file.papertrans.cn/282/281164/281164.mp4
叢書名稱The Springer International Series in Engineering and Computer Science
圖書封面Titlebook: Discrete Stochastic Processes;  Robert G. Gallager Textbook 1996 Springer Science+Business Media New York 1996 Markov Chain.Markov Chains.S
描述Stochastic processes are found in probabilistic systems thatevolve with time. Discrete stochastic processes change by only integertime steps (for some time scale), or are characterized by discreteoccurrences at arbitrary times. .Discrete Stochastic Processes.helps the reader develop the understanding and intuition necessary toapply stochastic process theory in engineering, science and operationsresearch. The book approaches the subject via many simple exampleswhich build insight into the structure of stochastic processes and thegeneral effect of these phenomena in real systems. .The book presents mathematical ideas without recourse to measuretheory, using only minimal mathematical analysis. In the proofs andexplanations, clarity is favored over formal rigor, and simplicityover generality. Numerous examples are given to show how results failto hold when all the conditions are not satisfied. ..Audience:. An excellent textbook for a graduate level course inengineering and operations research. Also an invaluable reference forall those requiring a deeper understanding of the subject. .
出版日期Textbook 1996
關鍵詞Markov Chain; Markov Chains; Stochastic Processes; linear optimization; operations research
版次1
doihttps://doi.org/10.1007/978-1-4615-2329-1
isbn_softcover978-1-4613-5986-9
isbn_ebook978-1-4615-2329-1Series ISSN 0893-3405
issn_series 0893-3405
copyrightSpringer Science+Business Media New York 1996
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Finite State Markov Chains,c processes are generally called continuous time processes. The Markov chains to be discussed in this and the next chapter are stochastic processes.only at integer values of time, n = 0, 1,….At each integer time n ≥ 0, there is a random variable X.called the.at time n, and the process is then the fa
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Markov Chains with Countably Infinite State Spaces, explain how these new types of behavior arise. If p > 1/2, then transitions to the right occur with higher frequency than transitions to the left. Thus, reasoning heuristically, we expect X. to be large for large n. This means that, given X. = 0, the probability P. should go to zero for any fixed j
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Markov Processes with Countable State Spaces,ial distribution, and second, that interval is independent of the next state. Thus, we can take the set of possible states as {0, 1, 2,…} and the process as {X(t),t≥0} where for each real t≥0,X(t) is the state of the process at time t. The random variables S., S.,… denote the successive epochs at wh
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Random Walks and Martingales, n, S, is just a sum of IID random variables, but here, we are more interested in the behavior of the random walk., {S.;n≥1}, and thus in such questions as finding the first n for which S.exceeds some threshold a, or the probability that S.exceeds a for any value of n. Since S.drifts downward with i
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Robert N. N. Holtzman,Wen C. Yangme) of the experiment is a function of time called a sample function. The sample space is the set of possible sample functions, and the events are subsets of sample functions. Finally, there is a rule for determining the probabilities of the various events. As an example, we might be concerned with
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