作者: 蠟燭 時(shí)間: 2025-3-21 22:17 作者: orthopedist 時(shí)間: 2025-3-22 02:10 作者: 果仁 時(shí)間: 2025-3-22 05:22
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作者: 不安 時(shí)間: 2025-3-22 08:49
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作者: Blatant 時(shí)間: 2025-3-22 14:26
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作者: Blatant 時(shí)間: 2025-3-22 18:08
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作者: 慷慨援助 時(shí)間: 2025-3-23 01:01 作者: 不可救藥 時(shí)間: 2025-3-23 02:29 作者: Fecundity 時(shí)間: 2025-3-23 08:20
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 作者: 喊叫 時(shí)間: 2025-3-23 09:58
https://doi.org/10.1007/978-3-642-81808-0after some starting time, say t=0. Figure 2.1 illustrates some of the different ways to characterize random arrivals over the positive time axis. The sequence of times at which arrivals occur is denoted by the random variables {S.,S.,…}. We usually refer to a point on the time axis at which somethin作者: 腐敗 時(shí)間: 2025-3-23 16:14 作者: 運(yùn)動(dòng)的我 時(shí)間: 2025-3-23 19:59
Christopher Brenke MD,Kirsten Schmieder MDc 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作者: hazard 時(shí)間: 2025-3-24 00:04
Kai-Michael Scheufler MD,Daniela Diesing MD 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作者: opalescence 時(shí)間: 2025-3-24 03:16 作者: finale 時(shí)間: 2025-3-24 08:23
Embryology and Congenital Anomalies 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作者: 不足的東西 時(shí)間: 2025-3-24 10:51 作者: 有效 時(shí)間: 2025-3-24 18:35 作者: Rejuvenate 時(shí)間: 2025-3-24 22:46
https://doi.org/10.1007/978-3-642-81808-0S.=τ the j. subsequent arrival epoch is at S.?S.=X.+...+X.. Thus {N(τ+t)?N(τ); t≥0} is a renewal process with IID inter-arrival intervals of the same distribution as the original renewal process. Because of this renewal property, we shall usually refer to arrivals as renewals.作者: 事與愿違 時(shí)間: 2025-3-24 23:54 作者: FICE 時(shí)間: 2025-3-25 04:10 作者: 否決 時(shí)間: 2025-3-25 10:49
Finite State Markov Chains,es. An integer time process {Xn;n≥0} can also be viewed as a continuous time process {X(t);t≥0} by taking.for n≤t作者: 退潮 時(shí)間: 2025-3-25 14:33 作者: 不給啤 時(shí)間: 2025-3-25 18:50 作者: 狂熱文化 時(shí)間: 2025-3-25 21:38
https://doi.org/10.1007/978-3-642-81808-0g happens as an., and thus we refer to S.as the epoch of the n.arrival, or the n.arrival epoch. In principle, an arrival process can be characterized by a rule specifying the joint distribution functions of {S.,S.,…, S.} for all n≥1, but usually these distribution functions are derived in terms of other random variables.作者: 紅潤(rùn) 時(shí)間: 2025-3-26 02:29
Introduction and Probability Review,arrivals to some system. The arrivals might be incoming jobs for a computer system, arriving packets for a communication system, patients in a health care system, or orders for some merchandising warehouse.作者: 萬(wàn)靈丹 時(shí)間: 2025-3-26 05:13 作者: watertight, 時(shí)間: 2025-3-26 09:54
Textbook 1996 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 s作者: Adrenal-Glands 時(shí)間: 2025-3-26 15:32 作者: 平淡而無(wú)味 時(shí)間: 2025-3-26 19:58 作者: 大猩猩 時(shí)間: 2025-3-26 21:47 作者: 影響帶來(lái) 時(shí)間: 2025-3-27 04:00
0893-3405 t 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. .978-1-4613-5986-9978-1-4615-2329-1Series ISSN 0893-3405 作者: 我不明白 時(shí)間: 2025-3-27 06:52
Textbook 1996over 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. .作者: atrophy 時(shí)間: 2025-3-27 12:04 作者: LEER 時(shí)間: 2025-3-27 13:56 作者: fabricate 時(shí)間: 2025-3-27 18:53 作者: DEFER 時(shí)間: 2025-3-27 22:01
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