华章统计学原版精品系列:概率统计(英文版·第4版)
作者:[美] 德格鲁特(Morris H.DeGroot),[美] 舍维什(Mark J.Schervish) 著 Morris H.DeGroot,Mark J.Schervish 编
出版:机械工业出版社 2012.7
丛书:华章统计学原版精品系列
定价:139.00 元
ISBN-13:9787111387756
ISBN-10:7111387759
去豆瓣看看 1 INTRODUCTION TO PROBABILITY
I.I The History of Probability
1.2 Interpretations of Probability
1.3 Experiments and Events
1.4 SetTheory
1.5 The Definition of Probability
1.6 Finite Sample Spaces
1.7 Counting Methods
1.8 Combinatorial Methods
1.9 Multinomial Coefficients
1.10 The Probability of a Union of Events
I.II StatisticaISwindles
1.12 Supplementary Exercises
2 CONDITIONALPROBABILITY
2.1 The Definition of Conditional Probability
2.2 Independent Events
2.3 Bayes'Theorem .
2.4 The Gambler's Ruin Problem
2.5 Supplementary Exercises
3 RANDOM VARIABLES AND DISTRIBUTIONS
3.1 Random Variables and Discrete Distributions
3.2 Continuous Distributions
3.3 The Cumulative Distribution Function
3.4 Bivariate Distributions
3.5 MarginaIDistributions
3.6 Conditional Distributions
3.7 M ultivariate Distributions
3.8 Functions of a Random Variable
3.9 Functions of Two or More Random Variables
3.10 MarkovChains
3.11 Supplementary Exercises
4 EXPECTATION
4.1 The Expectation of a Random Variable
4.2 Properties of Expectations
4.3 Variance
4.4 Moments
4.5 The Mean and the Median
4.6 Covariance and Correlation
4.7 ConditionaIExpectation
4.8 Utility
4.9 SupplementaryExercises
5 SPECIALDISTRIBUTIONS
5.1 Introduction
5.2 The Bernoulli and Binomial Distributions
5.3 The Hypergeometric Distributions
5.4 The Poisson Distributions
5.5 The Negative Binomial Distributions
5.6 The Normal Distributions
5.7 The Gamma Distributions
5.8 TheBetaDistributions 327
5.9 The Multinomial Distributions
5.10 The Bivariate Normal Distributions
5.11 SupplementaryExercises
6 LARGERANDOMsAMPLES
6.1 Introduction
6.2 The Law of Large Numbers
6.3 The Central Limit Theorem
6.4 The Correction for Continuity
6.5 SupplementaryExercises
7 ESTIMATION
7.1 Statisticallnference
7.2 Priorand Posterior Distributions
7.3 Conjugate Prior Distributions
7.4 Bayes Estimators
……
8 SAMPLING DISTRIBUTIONS OF ESTIMATORS
9 TESTINGHYPOTHESES
10 CATEGORICAL DATA AND NONPARAMETRIC METHODS
11 LINEAR STATISTICAL MODELS
12 SIMULATION
Tables
Answers to Odd-Numbered Exercises
References
Index
Morris H.DeGroot(1931-1989),世界著名的统计学家。生前曾任国际统计学会、美国科学促进会、统计学会、数理统计学会、计量经济学会会士。卡内基·梅隆大学教授,1957年加入该校,1966年创办该校统计系。DeGroot在学术上异常活跃和多产,曾发表一百多篇论文,还著有Optimal StatisOcal Decisions和Statistics and the Lawo为纪念他的著作对统计教学的贡献,国际贝叶斯分析学会特别设立了DeGroot奖表彰优秀统计学著作。
Mark J.Schervish,世界著名的统计学家,美国统计学会、数理统计学会会士。于1979年获得伊利诺伊大学的博士学位,之后就在卡内基·梅隆大学统计系工作,教授数学、概率、统计和计算金融等课程,现为该系系主任。Schervish在学术上非常活跃,成果颇丰,还因在统计推断和贝叶斯统计方面的基石性工作而闻名,除本书外,他还著有Theory ofStatistics和 Rethinking the Foundations of Statistics。
这本举世公认的经典概率论与数理统计教材,几十年来畅销不衰,被很多名校采用,包括卡内基-梅隆大学、哈佛大学、麻省理工学院、华盛顿大学、芝加哥大学、康奈尔大学、杜克大学、加州大学洛杉矶分校等。
《华章统计学原版精品系列:概率统计(英文版·第4版)》包括概率论、数理统计两部分,内容丰富完整,适当地选择某些章节,可以作为一学年的概率论与数理统计课程的教材,亦可作为一学期的概率论与随机过程的教材。适合数学、统计学、经济学等专业高年级本科生和研究生用,也可供统计工作人员用作参考书。