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Titlebook: Stochastic Processes; Rodney Coleman Book 1974 George Allen & Unwin Ltd 1974 Markov chain.Markov process.Poisson process.diffusion process

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发表于 2025-3-21 18:30:19 | 显示全部楼层 |阅读模式
书目名称Stochastic Processes
编辑Rodney Coleman
视频video
丛书名称Problem Solvers
图书封面Titlebook: Stochastic Processes;  Rodney Coleman Book 1974 George Allen & Unwin Ltd 1974 Markov chain.Markov process.Poisson process.diffusion process
出版日期Book 1974
关键词Markov chain; Markov process; Poisson process; diffusion process; queueing theory; random walk; renewal th
版次1
doihttps://doi.org/10.1007/978-94-010-9796-3
isbn_softcover978-0-04-519017-1
isbn_ebook978-94-010-9796-3
copyrightGeorge Allen & Unwin Ltd 1974
The information of publication is updating

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发表于 2025-3-21 23:54:02 | 显示全部楼层
Markov Chains,A . (abbreviation: MC) is a Markov process {.. : . ∈ .} with a discrete time parameter space ., and a finite or countably infinite state space .. We take, without losing generality, both . and . to be subsets of integers.
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Diffusion Processes,These are Markov processes {.. : . ∈ .} having continuous time parameter spaces and continuous state spaces, and for which a small change in . results in only a small change in ... A realisation can be thought of as being the path of a particle moving very erratically in a continuous medium, its progress depending only on its current position.
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Overview: 978-0-04-519017-1978-94-010-9796-3
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The Random Walk,uppose that the probability is . of any step being taken to the right, and is . = 1 - . of being to the left. Suppose also that each step is taken independently of every other step. Then this process is called the .. If the particle is in position 0 at time 0, determine the probability that it will be in position . after . steps.
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What is a Stochastic Process?,eue at time .. As time passes, customers will arrive and leave, and so the value of .. will change. At any time ., .. takes one of the values 0, 1, 2,…; and . can be any value in a subset of (−∞, ∞), the infinite past to the infinite future.
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