统计推断

[美] George Casella

出版时间

2012-01-01

ISBN

9787111109457

评分

★★★★★
书籍介绍
作为统计推断领域的经典教材,本书最难得之处,在于它把抽象的推断理论讲得既严谨又
AI导读
核心看点
  • 涵盖概率论基础至现代统计推断,内容全面
  • 引入Bootstrap、EM算法等前沿实用方法
  • 理论阐述具体,案例丰富,习题配有答案
读者共识
  • 经典教材,基础讲解清晰,适合入门
  • 行文流畅,深度与广度兼具,口碑极佳
  • 虽有难度,但坚持阅读能带来深刻洞察
精彩摘录
  • "If E|g(X)|=∞, we say that Eg(X) does not exist. (Ross 1988 refers to this as the "law of the unconscious statistician." We do not find this amusing.)"
  • "The point here is that normality comes from sums of "small" (finite variance), independent disturbances."
  • "Definition 1.2.4 Given a sample sapce S and an association sigma algebra B, a probability function is a function P with domain B that satisifies 1. P(A) >= 0 for all A in B. 2. P(S) = 1. 3. If A1, A2, ... in B are parwise disjoint, then P(Union(Ai)) = sum(P(Ai)) The three properties given in Definit"
  • "The probability definition deals with one probability structure, but the statistis definition deals with an entire family."
  • "The property of consistency is concerned with the asymptotic accuracy of an estimator: Does it converge to the parameter that it is estimating? In this section we look at a related property, efficiency, which is concerned with the asymptotic variance of an estimator."
  • ""I've wasted time enough," said Lestrade rising. "I believe in hard work and not in sitting by the fire spinning fine theories.""
  • "ANOVA belies its name in that it is not concerned with analyzing variances but rather with analyzing variation in means."
  • "The ANOVA null is the intersection of more easily understood univariate hypotheses. Most interesting inferences in an ANOVA can be expressed as contrasts or sets of contrasts."
目录
出版说明
序
1 Probability Theory
1.1 Set Theory
1.2 Basics of Probability Theory

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用户评论
看不懂的书就一遍一遍看…说不定哪次就懂了 守着病人又看了一遍
master 专业的第一门课 很多统计的知识还是没有nayak 哥讲的好,所以到了第二学期都变成了辅助教材而已
非常不错。给人耳目一新的感觉
行文非常流畅的一本书,核心的理论都涉及了,深度广度兼具,习题也有答案,对于国内的概率论或者数理统计课程是非常好的一本参考和补充的书籍
传说中的机械工业出版社……非常经典耐读的一本
习题很有价值,全部做一遍收益会很大
统计学最佳入门书籍,没有之一。可以参考陈希孺的那几本
深度广度兼具,最佳的入门学习书籍。关于很多问题以及数学界对这个问题的研究有很多精辟的论述令人茅塞顿开。而且不忘指明更深学习所需要的资料,也因此决心去读Billingsley
上课的课本,其实很多地方都粗略翻过去了,例子很多有助于理解,但也因为这样显得有点啰嗦了。整体上通俗易懂,喜欢Miscellanea部分,经常给我疑惑的地方做出解释。 嗯很喜欢这本书。
当年的课本。居然找不到了
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