隨機過程探究 [Adventures in Stochastic Processes] epub pdf  mobi txt 電子書 下載

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024


簡體網頁||繁體網頁
雷斯尼剋 編

下載链接在页面底部


點擊這裡下載
    


想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-11-10

商品介绍



齣版社: 世界圖書齣版公司
ISBN:9787510029721
版次:1
商品編碼:10859130
包裝:平裝
外文名稱:Adventures in Stochastic Processes
開本:24開
齣版時間:2011-01-01
頁數:626
正文語種:英文

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024



类似图書 點擊查看全場最低價

相关書籍





書籍描述

內容簡介

隨機過程是建立各種類型的大量隨機變量現象模型的必要依據,作為應用概率方嚮的一個工具,書中將離散空間,Markov鏈,更新理論,點過程,分支過程,隨機遊程,Brownian運動,這些論題都是生動地展現給讀者。《隨機過程探究》錶述靈活,大量的例子,練習和應用,並有的計算機程序作支持,使得內容的立體感增強,易於理解,可以作為應用科學領域不同層次水平學生的對隨機過程的入門教程。每章末附有大量的補充練習。

目錄

Preface
CHAPTER 1.PRELIMINARIES" DISCRETE INDEX SETS AND/OR DISCRETE STATE SPACES
1.1.Non-negative integer valued random variables
1.2.Convolution
1.3.Generating functions
1.3.1.Differentiation of generating functions
1.3.2.Generating functions and moments
1.3.3.Generating functions and convolution
1.3.4.Generating functions, compounding and random sums
1.4.The simple branching process
1.5.Limit distributions and the continuity theorem
1.5.1.The law of rare events
1.6.The simple random walk
1.7.The distribution of a process*
1.8.Stopping times*
1.8.1.Wald's identity
1.8.2.Splitting an iid sequence at a stopping time
Exercises for Chapter 1

CHAPTER 2.MARKOV CHAINS
2.1.Construction and first properties
2.2.Examples
2.3.Higher order transition probabilities
2.4.Decomposition of the state space
2.5.The dissection principle
2.6.Transience and recurrence
2.7.Periodicity
2.8.Solidarity properties
2.9.Examples
2.10.Canonical decomposition
2.11.Absorption probabilities
2.12.Invariant measures and stationary distributions
2.12.1.Time averages
2.13.Limit distributions
2.13.1 More on null recurrence and transience*
2.14.Computation of the stationary distribution
2.15.Classification techniques
Exercises for Chapter 2

CHAPTER 3.RENEWAL THEORY
3.1.Basics
3.2.Analytic interlude
3.2.1.Integration
3.2.2.Convolution
3.2.3.Laplace transforms
3.3.Counting renewals
3.4.Renewal reward processes
3.5.The renewal equation
3.5.1.Risk processes*
3.6.The Poisson process as a renewal process
3.7.Informal discussion of renewal limit theorems; regenerative processes
3.7.1 An informal discussion of regenerative processes
3.8.Discrete renewal theory
3,9.Stationary renewal processes* .
3.10.Blackwell and key renewal theorems* .
3.10.1.Direct Riemann integrability*
3.10.2.Equivalent forms of the renewal theorems*
3.10.3.Proof of the renewal theorem*
3.11.Improper renewal equations
3.12.More regenerative processes*
3.12.1.Definitions and examples*
3.12.2.The renewal equation and Smith's theorem*
3.12.3.Queueing examples
Exercises for Chapter 3

CHAPTER 4.POINT PROCESSES
4.1.Basics
4.2.The Poisson process
4.3.Transforming Poisson processes
4.3.1.Max-stable and stable random variables*
4.4.More transformation theory; marking and thinning
4.5.The order statistic property
4.6.Variants of the Poisson process
4.7.Technical basics*
4.7.1.The Laplace functional*
4.8.More on the Poisson process*
4.9.A general construction of the Poisson process; a simple derivation of the order statistic property*
4.10.More transformation theory; location dependent thinning*
4.11.Records*
Exercises for Chapter 4

CHAPTER 5.CONTINUOUS TIME MARKOV CHAINS
5.1.Defiuitions and construction
5.2.Stability and explosions
5.2.1.The Markov property* .
5.3.Dissection
5.3.1.More detail on dissection*
5.4.The backward equation and the generator matrix
5.5.Stationary and limiting distributions
5.5.1.More on invariant measures*
5.6.Laplace transform methods
5.7.Calculations and examples
5.7.1.Queueing networks
5.8.Time dependent solutions*
5.9.Reversibility
5.10.Uniformizability
5.11.The linear birth process as a point process
Exercises for Chapter 5

CHAPTER 6.BROWNIAN MOTION
6.1.Introduction
6.2.Preliminaries
6.3.Construction of Brownian motion*
6.4.Simple properties of standard Brownian motion
6.5.The reflection principle and the distribution of the maximum
6.6.The strong independent increment property and reflection*
6.7.Escape from a strip
6.8.Brownian motion with drift
6.9.Heavy traffic approximations in queueing theory
6.10.The Brownian bridge and the Kolmogorov--Smirnov statistic.
6.11.Path properties*
6.12.Quadratic variation
6.13.Khintchine's law of the iterated logarithm for Brownian motion
Exercises for Chapter 6

CHAPTER 7.THE GENERAL RANDOM WALK*
7.1.Stopping times
7.2.Global properties
7.3.Prelude to Wiener-Hopf: Probabilistic interpretations of transforms
7.4.Dual pairs of stopping times
7.5.Wiener-Hopf decompositions
7.6.Consequences of the Wiener-Hopf factorization
7.7.The maximum of a random walk
7.8.Random walks and the G/G/1 queue
7.8.1.Exponential right tail
7.8.2.Application to G/M/1 queueing model
7.8.3.Exponential left tail
7.8.4.The M/G/1 queue
7.8.5.Queue lengths
References
Index

前言/序言



隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

隨機過程探究 [Adventures in Stochastic Processes] 下載 epub mobi pdf txt 電子書

隨機過程探究 [Adventures in Stochastic Processes] pdf 下載 mobi 下載 pub 下載 txt 電子書 下載 2024

隨機過程探究 [Adventures in Stochastic Processes] mobi pdf epub txt 電子書 下載 2024

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載
想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

讀者評價

評分

書不錯。優惠時湊單用的。

評分

很好的隨機過程教材啊

評分

把隨機過程講得很清楚,推薦

評分

2.影印版的,所以印刷質量一般,但完全可以接受;

評分

隨機過程

評分

英文書,值得一看,對於理論研究來說

評分

活動時買的,還是挺劃算的,給個好評!

評分

不錯。。。。。。。。。。

評分

jdjhgsukgorouxhxudikf

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024

类似图書 點擊查看全場最低價

隨機過程探究 [Adventures in Stochastic Processes] epub pdf mobi txt 電子書 下載 2024


分享鏈接





相关書籍


本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 book.idnshop.cc All Rights Reserved. 靜思書屋 版权所有