您尚未登录,请登录后浏览更多内容! 登录 | 注册

QQ登录

只需一步,快速开始

 找回密码
 注册

QQ登录

只需一步,快速开始

查看: 940|回复: 6

2010,Normal Approximation and Asymptotic Expansions pdf

[复制链接]
  • TA的每日心情
    开心
    2016-3-19 06:18
  • 签到天数: 18 天

    [LV.4]偶尔看看III

    发表于 2015-1-3 17:46:40 | 显示全部楼层 |阅读模式
    Normal Approximation and Asymptotic Expansions (Classics in Applied Mathematics), 2010 pdf
    by Rabi N. Bhattacharya and R. Ranga Rao

    089871897X.01.S001.LXXXXXXX.jpg

    高清版本pdf 回复可见
    游客,如果您要查看本帖隐藏内容请回复


    Although Normal Approximation and Asymptotic Expansions was first published in 1976, it has gained new significance and renewed interest among statisticians due to the developments of modern statistical techniques such as the bootstrap, the efficacy of which can be ascertained by asymptotic expansions.
    This also is the only book containing a detailed treatment of various refinements of the multivariate central limit theorem (CLT), including Berry Essen-type error bounds for probabilities of general classes of functions and sets, and asymptotic expansions for both lattice and non-lattice distributions. With meticulous care, the authors develop necessary background on weak convergence theory, Fourier analysis, geometry of convex sets, and the relationship between lattice random vectors and discrete subgroups of Rk. The formalism developed in the book has been used in the extension of the theory by Goetze and Hipp to sums of weakly dependent random vectors.

    This edition of the book includes a new chapter that provides an application of Stein's method of approximation to the multivariate CLT.

    Audience: The book is appropriate for graduate students of probability and statistics as well as researchers in these and other fields whose work involves the asymptotic theory of statistics.

    Contents: Preface to the Classics Edition; Preface; Chapter 1: Weak Convergence of Probability Measures and Uniformity Classes; Chapter 2: Fourier Transforms and Expansions of Characteristic Functions; Chapter 3: Bounds for Errors of Normal Approximation; Chapter 4: Asymptotic Expansions Nonlattice Distributions; Chapter 5: Asymptotic Expansions Lattice Distributions; Chapter 6: Two Recent Improvements; Chapter 7: An Application of Stein s Method; Appendix A.1: Random Vectors and Independence; Appendix A.2: Functions of Bounded Variation and Distribution Functions; Appendix A.3: Absolutely Continuous, Singular, and Discrete Probability Measures; Appendix A.4: The Euler-MacLaurin Sum Formula for Functions of Several Variables; References; Index.

    回复

    使用道具 举报

  • TA的每日心情
    开心
    2018-12-16 14:51
  • 签到天数: 120 天

    [LV.7]常住居民III

    发表于 2015-1-3 22:15:36 | 显示全部楼层
    不错,下来看看
    回复 支持 反对

    使用道具 举报

  • TA的每日心情
    开心
    2018-11-22 08:46
  • 签到天数: 1399 天

    [LV.10]以坛为家III

    发表于 2015-1-5 11:37:26 | 显示全部楼层
    look it thanks
    回复 支持 反对

    使用道具 举报

  • TA的每日心情
    开心
    2017-12-15 11:07
  • 签到天数: 161 天

    [LV.7]常住居民III

    发表于 2016-1-1 16:43:01 | 显示全部楼层
    谢谢楼主分享@_@
    回复 支持 反对

    使用道具 举报

  • TA的每日心情
    开心
    5 小时前
  • 签到天数: 917 天

    [LV.10]以坛为家III

    发表于 2017-2-3 16:30:20 | 显示全部楼层
    感谢楼主辛苦分享!!
    回复 支持 反对

    使用道具 举报

    您需要登录后才可以回帖 登录 | 注册

    本版积分规则

        
      手机版|Archiver|鄂ICP备16007464号

    GMT+8, 2019-8-24 19:29 , Processed in 0.276728 second(s), 25 queries .

    © 2001-2011 Powered by Discuz! X3.2. Theme By Yeei! Licensed

    返回顶部