科研帝上线啦!115万本专业的英文电子书全部免费下载!

科研帝

 找回密码
 立即注册

手机号码,快捷登录

金币不够用?来这充值VIP学者,无限量下载
查看: 227|回复: 3

【概率与测度论】Probability & Measure Theory, Second Edition-[2]-[pdf]-[Robert B. Ash, Catherine A. Doléans-Dade]

[复制链接]
  • TA的每日心情
    开心
    2018-10-7 11:51
  • 签到天数: 68 天

    [LV.6]常住居民II

    23

    主题

    101

    帖子

    217

    积分

    管理员

    Rank: 9Rank: 9Rank: 9

    金币
    1181
    关注领域
    物理学
    QQ
    发表于 2017-9-21 09:51:54 | 显示全部楼层 |阅读模式
    提示:本书回复后可见下载链接(点击链接后等待30秒内会自动启动下载),普通用户回复扣5金币,VIP用户免费下载。还不是VIP?点击这里加入VIP→


    免费下载30页预览文件

    书籍信息:
    标题: Probability & Measure Theory, Second Edition【概率与测度论】
    语言: English
    格式: pdf
    大小: 7.1M
    页数: 532
    年份: 1999
    作者: Robert B. Ash, Catherine A. Doléans-Dade
    版次: 2
    出版社: Academic Press


    简介

    Probability and Measure Theory, Second Edition, is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion.                                       * Clear, readable style* Solutions to many problems presented in text* Solutions manual for instructors* Material new to the second edition on ergodic theory, Brownian motion, and convergence theorems used in statistics* No knowledge of general topology required, just basic analysis and metric spaces* Efficient organization


    目录
    Contents......Page 4
    Preface......Page 8
    Summary of Notation......Page 10
    1.1 Introduction......Page 15
    1.2 Fields, u-Fields, and Measures......Page 17
    1.3 Extension of Measures......Page 26
    1.4 Lebesgue-Stieltjes Measures and Distribution Functions......Page 36
    1.5 Measurable Functions and Integration......Page 49
    1.6 Basic Integration Theorems......Page 59
    1.7 Comparison of Lebesgue and Riemann Integrals......Page 69
    2.1 Introduction......Page 74
    2.2 Radon-Nikodym Theorem and Related Results......Page 78
    2.3 Applications to Real Analysis......Page 86
    2.4 LP Spaces......Page 97
    2.5 Convergence of Sequences of Measurable Functions......Page 110
    2.6 Product Measures and Fubini' s Theorem......Page 115
    2.7 Measures on Infinite Product Spaces......Page 127
    2.8 Weak Convergence of Measures......Page 135
    2.9 References......Page 139
    3.1 Introduction......Page 141
    3.2 Basic Properties of Hilbert Spaces......Page 144
    3.3 Linear Operators on Normed Linear Spaces......Page 155
    3.4 Basic Theorems of Functional Analysis......Page 166
    3.5 References......Page 179
    4.1 Introduction......Page 180
    4.3 Independence......Page 181
    4.4 Bernoulli Trials......Page 184
    4.5 Conditional Probability......Page 185
    4.6 Random Variables......Page 187
    4.7 Random Vectors......Page 190
    4.8 Independent Random Variables......Page 192
    4.9 Some Examples from Basic Probability......Page 195
    4.10 Expectation......Page 202
    4.11 Infinite Sequences of Random Variables......Page 210
    4.12 References......Page 214
    5.1 Introduction......Page 215
    5.2 Applications......Page 216
    5.3 The General Concept of Conditional Probability and Expectation......Page 218
    5.4 Conditional Expectation Given au-Field......Page 229
    5.5 Properties of Conditional Expectation......Page 234
    5.6 Regular Conditional Probabilities......Page 242
    6.1 Introduction......Page 249
    6.2 Convergence Theorems......Page 253
    6.3 Martingales......Page 262
    6.4 Martingale Convergence Theorems......Page 271
    6.5 Uniform Integrability......Page 276
    6.6 Uniform Integrability and Martingale Theory......Page 280
    6.7 Optional Sampling Theorems......Page 284
    6.8 Applications of Martingale Theory......Page 291
    6.9 Applications to Markov Chains......Page 299
    6.10 References......Page 302
    7.1 Introduction......Page 304
    7.2 The Fundamental Weak Compactness Theorem......Page 314
    7.3 Convergence to a Normal Distribution......Page 321
    7.4 Stable Distributions......Page 331
    7.5 Infinitely Divisible Distributions......Page 334
    7.6 Uniform Convergence in the Central Limit Theorem......Page 343
    7.7 The Skorokhod Construction and Other Convergence Theorems......Page 346
    7.8 The k-Dimensional Central Limit Theorem......Page 350
    7.9 References......Page 358
    8.1 Introduction......Page 359
    8.2 Ergodicity and Mixing......Page 364
    8.3 The Pointwise Ergodic Theorem......Page 370
    8.4 Applications to Markov Chains......Page 382
    8.5 The Shannon-McMillan Theorem......Page 388
    8.6 Entropy of a Transformation......Page 400
    8.7 Bernoulli Shifts......Page 408
    8.8 References......Page 411
    9.1 Stochastic Processes......Page 413
    9.2 Brownian Motion......Page 415
    9.3 Nowhere Differentiability and Quadratic Variation of Paths......Page 422
    9.4 Law of the Iterated Logarithm......Page 424
    9.5 The Markov Property......Page 428
    9.6 Martingales......Page 434
    9.7 Ito Integrals......Page 440
    9.8 Ito's Differentiation Formula......Page 446
    9.9 References......Page 451
    1. The Symmetric Random Walk in R^2......Page 452
    2. Semicontinuous Functions......Page 455
    3. Completion of the Proof of Theorem 7.3.2......Page 457
    4. Proof of the Convergence of Types Theorem 7.3.4......Page 461
    5. The Multivariate Normal Distribution......Page 463
    Bibliography......Page 468
    Solutions to Problems......Page 470
    Index......Page 526

    电子书下载地址回复可见:
    游客,如果您要查看本帖隐藏内容请回复

    每天进步一点点
    回复

    使用道具 举报

  • TA的每日心情
    开心
    2018-8-26 12:01
  • 签到天数: 12 天

    [LV.3]偶尔看看II

    0

    主题

    92

    帖子

    92

    积分

    初中生

    Rank: 2

    金币
    36
    发表于 2018-4-11 19:36:17 | 显示全部楼层
    haohaohaoHAOHAOHAO
    回复

    使用道具 举报

  • TA的每日心情
    开心
    2018-5-31 15:43
  • 签到天数: 2 天

    [LV.1]初来乍到

    0

    主题

    76

    帖子

    76

    积分

    初中生

    Rank: 2

    金币
    42
    发表于 2018-5-26 16:05:51 | 显示全部楼层
    谢谢分享
    回复

    使用道具 举报

    该用户从未签到

    0

    主题

    40

    帖子

    40

    积分

    VIP学者

    Rank: 5Rank: 5

    金币
    24
    发表于 2018-7-30 05:34:55 | 显示全部楼层
    t: A Structured Approach-[2nd editio
    回复

    使用道具 举报

    您需要登录后才可以回帖 登录 | 立即注册

    本版积分规则

    关闭

    站长推荐上一条 /1 下一条

    QQ|Archiver|手机版|小黑屋|科研帝   

    GMT+8, 2018-10-18 01:56 , Processed in 0.082551 second(s), 30 queries .

    Powered by Discuz! X3.4

    © 2001-2017 Comsenz Inc.

    快速回复 返回顶部 返回列表