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Titlebook: Approximating Countable Markov Chains; David Freedman Book 1983 David A. Freedman 1983 Brownian motion.Chains.Markov.Markov chain.Markowsc

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发表于 2025-3-21 18:30:13 | 显示全部楼层 |阅读模式
期刊全称Approximating Countable Markov Chains
影响因子2023David Freedman
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图书封面Titlebook: Approximating Countable Markov Chains;  David Freedman Book 1983 David A. Freedman 1983 Brownian motion.Chains.Markov.Markov chain.Markowsc
影响因子A long time ago I started writing a book about Markov chains, Brownian motion, and diffusion. I soon had two hundred pages of manuscript and my publisher was enthusiastic. Some years and several drafts later, I had a thousand pages of manuscript, and my publisher was less enthusiastic. So we made it a trilogy: Markov Chains Brownian Motion and Diffusion Approximating Countable Markov Chains familiarly - MC, B & D, and ACM. I wrote the first two books for beginning graduate students with some knowledge of probability; if you can follow Sections 10.4 to 10.9 of Markov Chains, you‘re in. The first two books are quite independent of one another, and completely independent of this one, which is a monograph explaining one way to think about chains with instantaneous states. The results here are supposed to be new, except when there are specific disclaimers. It‘s written in the framework of Markov chains; we wanted to reprint in this volume the MC chapters needed for reference. but this proved impossible. Most of the proofs in the trilogy are new, and I tried hard to make them explicit. The old ones were often elegant, but I seldom saw what made them go. With my own, I can sometimes show
Pindex Book 1983
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发表于 2025-3-21 23:16:17 | 显示全部楼层
Book 1983her was enthusiastic. Some years and several drafts later, I had a thousand pages of manuscript, and my publisher was less enthusiastic. So we made it a trilogy: Markov Chains Brownian Motion and Diffusion Approximating Countable Markov Chains familiarly - MC, B & D, and ACM. I wrote the first two b
发表于 2025-3-22 01:34:09 | 显示全部楼层
发表于 2025-3-22 05:10:20 | 显示全部楼层
,Grundlagen der Persönlichkeitstheorie,ry standard transitions and smooth sample functions. Sections 1.5–6 show this construction is general. I will only do the work when . forms one recurrent class; but it is quite easy to drop this condition.
发表于 2025-3-22 09:31:29 | 显示全部楼层
Restricting the Range,say . on .. This is proved in Section 6. The semigroups {.:. ⊂ .} are equicontinuous; consequently, . converges to . in probability and in .-lim† with probability 1 as . increases to . ; in particular, . converges to . as . increases to .. These results are proved in Section 7.
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发表于 2025-3-23 03:25:31 | 显示全部楼层
Book 1983kov chains; we wanted to reprint in this volume the MC chapters needed for reference. but this proved impossible. Most of the proofs in the trilogy are new, and I tried hard to make them explicit. The old ones were often elegant, but I seldom saw what made them go. With my own, I can sometimes show
发表于 2025-3-23 08:28:23 | 显示全部楼层
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