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Titlebook: Markov Chains; David Freedman Book 1983 David A. Freedman 1983 Brownian motion.Chains.Markov.Markov chain.Markov property.Markowsche Kette

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发表于 2025-3-21 17:50:19 | 显示全部楼层 |阅读模式
书目名称Markov Chains
编辑David Freedman
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图书封面Titlebook: Markov Chains;  David Freedman Book 1983 David A. Freedman 1983 Brownian motion.Chains.Markov.Markov chain.Markov property.Markowsche Kette
描述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 the third. This last book is a monograph which explains one way to think about chains with instantaneous states. The results in it are supposed to be new, except where there are specific disclaim­ ers; it‘s written in the framework of Markov Chains. 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 you why things work. And, as I will VB1 PREFACE argue in a minute, my demonstrations
出版日期Book 1983
关键词Brownian motion; Chains; Markov; Markov chain; Markov property; Markowsche Kette; Martingale; Variance; jump
版次1
doihttps://doi.org/10.1007/978-1-4612-5500-0
isbn_softcover978-1-4612-5502-4
isbn_ebook978-1-4612-5500-0
copyrightDavid A. Freedman 1983
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发表于 2025-3-21 22:08:08 | 显示全部楼层
The General Casenking: it is enough to do . + . = 1 by rescaling time; since .(.) is 2 × 2 and stochastic when . is . or . or . + ., it is enough to check that .(.) = .(.) · .(.) on the diagonal; by interchanging . and ., so 0 and 1, it is enough to check the (0, 0) position. This is easy.
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发表于 2025-3-22 11:06:38 | 显示全部楼层
The Boundary Let . be a probability on . such that .(.) > 0 for all . ∈ .. Here .(.) means Σ.. A function . on . is . iff:.and . for all . ∈ ..Check, . < ∞ for all . ∈ .. If equality holds in (3), then . is .. Because of (2), these definitions are relative to the .. Throughout, . are used for generic elements of ., and . for a generic excessive function.
发表于 2025-3-22 13:55:37 | 显示全部楼层
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 f
发表于 2025-3-22 17:54:19 | 显示全部楼层
Introduction to Discrete Timerization: . is Markov with stationary transitions . iff . for all . and .. ∈ .. If .{.. = .} . 1 for some . ∈ ., then . is said to . or to have . This involves no real loss in generality, as one sees by conditioning on ...
发表于 2025-3-22 23:13:45 | 显示全部楼层
Book 1983 framework of Markov Chains. 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 you why things work. And, as I will VB1 PREFACE argue in a minute, my demonstrations
发表于 2025-3-23 04:39:22 | 显示全部楼层
ten in the framework of Markov Chains. 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 you why things work. And, as I will VB1 PREFACE argue in a minute, my demonstrations 978-1-4612-5502-4978-1-4612-5500-0
发表于 2025-3-23 07:44:27 | 显示全部楼层
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