A Markov chain is a random process with the property that, conditional on its present value, the future is independent of the past. The Chapman- Kolmogorov equations are derived, and used to explore the persistence and transience of states....
ProbabilityandRandomProcessCaseStudySolutionModule1SampleSpace Problem1:CountthenumberofvoicepacketscontainingonlysilenceproducedfromagroupofNspeakersi..
摘要: A Markov chain is a random process with the property that, conditional on its present value, the future is independent of the past. The Chapman- Kolmogorov equations are derived, and used to explore the persistence and transience of states....
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(b) Solution 1: We note that the student arrival process and the bus arrival process are independent Poisson processes, and we can thus consider the merged Poisson process with parameter λ+ μ. Each arrival for the combined process is a bus with probability λ/(λ+ μ) and likewise each...
I'm going through the MIT OCW probability course (6.041sc), but I'm having trouble on when to use CDF and the Poisson process. Here's the problem (Recitation 15, problem 1). Problem Statement: Beginning at time t=0t=0, we begin using bulbs, one at a time, to illuminate a room....
Process过程 and Outcome结果 Random随机,包含多种多样的Distribution; Stochastic常指满足Random Distribution随机分布的的一种; Random Phenomenon随机现象 Reproducible Random Phenomenon: 可重现随机现象 Experiments of Random Phenomenon: 随机试验 Probability概率 ...
给定一个离散变量在取得某一值的概率:gives the probability that a discrete random variable takes on the value x. a 满足:a satisfies 一个随机变量小于等于x:a random variable is less than or equal to x. CDF是递增的,右连续的函数,且:CDF is an increasing, right-continuous function with... ...