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Titlebook: Branching Processes; Krishna B. Athreya,Peter E. Ney Book 1972 Springer-Verlag Berlin Heidelberg 1972 Branching process.Galton-Watson proc

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发表于 2025-3-21 19:46:52 | 显示全部楼层 |阅读模式
期刊全称Branching Processes
影响因子2023Krishna B. Athreya,Peter E. Ney
视频videohttp://file.papertrans.cn/191/190360/190360.mp4
学科分类Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Branching Processes;  Krishna B. Athreya,Peter E. Ney Book 1972 Springer-Verlag Berlin Heidelberg 1972 Branching process.Galton-Watson proc
影响因子The purpose of this book is to give a unified treatment of the limit theory of branching processes. Since the publication of the important book of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has very little overlap with that of Harris. Only enough material is repeated to make the treatment essentially self-contained. For example, certain foundational questions on the construction of processes, to which we have nothing new to add, are not developed. There is a natural classification of branching processes according to their criticality condition, their time parameter, the single or multi-type particle cases, the Markovian or non-Markovian character of the pro­ cess, etc. We have tried to avoid the rather uneconomical and un­ enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and
Pindex Book 1972
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发表于 2025-3-21 20:40:44 | 显示全部楼层
Book 1972haracter of the pro­ cess, etc. We have tried to avoid the rather uneconomical and un­ enlightening approach of treating these categories independently, and by a series of similar but increasingly complicated techniques. The basic Galton-Watson process is developed in great detail in Chapters I and
发表于 2025-3-22 02:38:17 | 显示全部楼层
Book 1972. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and thus has ve
发表于 2025-3-22 06:04:49 | 显示全部楼层
0072-7830 ook of T E. Harris (Theory of Branching Processes, Springer, 1963) the subject has developed and matured significantly. Many of the classical limit laws are now known in their sharpest form, and there are new proofs that give insight into the results. Our work deals primarily with this decade, and t
发表于 2025-3-22 09:55:17 | 显示全部楼层
发表于 2025-3-22 14:03:16 | 显示全部楼层
One Dimensional Continuous Time Markov Branching Processes,cles at time . This process will in general not be Markovian, unless the lifetimes are independent, exponentially distributed random variables. It is the latter process which we will study in this chapter. The general non-Markovian case will be considered in Chapter IV.
发表于 2025-3-22 20:30:23 | 显示全部楼层
One Dimensional Continuous Time Markov Branching Processes,iables. Instead of the discrete time Markov chain {.; . =0,1,2,…} of Chapter I, we must consider a process {.(.); .≥0}, where .(.)=the number of particles at time . This process will in general not be Markovian, unless the lifetimes are independent, exponentially distributed random variables. It is
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