Madison 发表于 2025-3-21 16:49:10
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,Markov Chains—Passage Phenomena,t and Stone (Ref. ), and is presented here with their kind permission. I have adopted their notation and style, because I feel it is the best way to introduce Markov chains in the spirit of these notes—namely, an approach which combines intuition (of the dynamics) with probabilistic reasoning. T狂热文化 发表于 2025-3-22 20:09:44
Markov Jump Processes,as two ingredients. There are random . 0 < τ. < τ. < … < τ. < … when the process jumps away from the state it is at, and there are . Q. that govern the transitions at these jump times. The process {X(.): . ≥ 0 } itself has piecewise constant paths, which we can take to be right-continuousJejune 发表于 2025-3-23 01:08:55
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Textbook 1993ions from proofs, so as to expose the most important steps. Steps in proofs or derivations that involve algebra or basic calculus are not shown; only steps involving, say, the use of independence or a dominated convergence argument or an assumptjon in a theorem are displayed. For example, in provingintuition 发表于 2025-3-23 09:12:18
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