概率統(tǒng)計(jì)

出版時(shí)間:2012-7  出版社:機(jī)械工業(yè)出版社  作者:(美)Morris H.DeGroot,(美)Mark J.Schervish  頁(yè)數(shù):891  
Tag標(biāo)簽:無  

內(nèi)容概要

  這本舉世公認(rèn)的經(jīng)典概率論與數(shù)理統(tǒng)計(jì)教材,幾十年來暢銷不衰,被很多名校采用,包括卡內(nèi)基-梅隆大學(xué)、哈佛大學(xué)、麻省理工學(xué)院、華盛頓大學(xué)、芝加哥大學(xué)、康奈爾大學(xué)、杜克大學(xué)、加州大學(xué)洛杉磯分校等。
  《華章統(tǒng)計(jì)學(xué)原版精品系列:概率統(tǒng)計(jì)(英文版·第4版)》包括概率論、數(shù)理統(tǒng)計(jì)兩部分,內(nèi)容豐富完整,適當(dāng)?shù)剡x擇某些章節(jié),可以作為一學(xué)年的概率論與數(shù)理統(tǒng)計(jì)課程的教材,亦可作為一學(xué)期的概率論與隨機(jī)過程的教材。適合數(shù)學(xué)、統(tǒng)計(jì)學(xué)、經(jīng)濟(jì)學(xué)等專業(yè)高年級(jí)本科生和研究生用,也可供統(tǒng)計(jì)工作人員用作參考書。

作者簡(jiǎn)介

Morris
H.DeGroot(1931-1989),世界著名的統(tǒng)計(jì)學(xué)家。生前曾任國(guó)際統(tǒng)計(jì)學(xué)會(huì)、美國(guó)科學(xué)促進(jìn)會(huì)、統(tǒng)計(jì)學(xué)會(huì)、數(shù)理統(tǒng)計(jì)學(xué)會(huì)、計(jì)量經(jīng)濟(jì)學(xué)會(huì)會(huì)士??▋?nèi)基·梅隆大學(xué)教授,1957年加入該校,1966年創(chuàng)辦該校統(tǒng)計(jì)系。DeGroot在學(xué)術(shù)上異?;钴S和多產(chǎn),曾發(fā)表一百多篇論文,還著有Optimal
StatisOcal Decisions和Statistics and the
Lawo為紀(jì)念他的著作對(duì)統(tǒng)計(jì)教學(xué)的貢獻(xiàn),國(guó)際貝葉斯分析學(xué)會(huì)特別設(shè)立了DeGroot獎(jiǎng)表彰優(yōu)秀統(tǒng)計(jì)學(xué)著作。
  Mark
J.Schervish,世界著名的統(tǒng)計(jì)學(xué)家,美國(guó)統(tǒng)計(jì)學(xué)會(huì)、數(shù)理統(tǒng)計(jì)學(xué)會(huì)會(huì)士。于1979年獲得伊利諾伊大學(xué)的博士學(xué)位,之后就在卡內(nèi)基·梅隆大學(xué)統(tǒng)計(jì)系工作,教授數(shù)學(xué)、概率、統(tǒng)計(jì)和計(jì)算金融等課程,現(xiàn)為該系系主任。Schervish在學(xué)術(shù)上非常活躍,成果頗豐,還因在統(tǒng)計(jì)推斷和貝葉斯統(tǒng)計(jì)方面的基石性工作而聞名,除本書外,他還著有Theory
ofStatistics和 Rethinking the Foundations of Statistics。

書籍目錄

1 introduction to probability
1.1 the history of probability
1.2 interpretatio of probability
1.3 experiments and events
1.4 set theory
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
1.11 statistical swindles
1.12 supplementary exercises
2 conditional probability
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 distributio
3.1 random variables and discrete distributio
3.2 continuous distributio
3.3 the cumulative distribution function
3.4 bivariate distributio
3.5 marginal distributio
3.6 conditional distributio
3.7 multivariate distributio
3.8 functio of a random variable
3.9 functio of two or more random variables
3.10 markov chai
3.11 supplementary exercises
4 expectation
4.1 the expectation of a random variable
4.2 properties of expectatio
4.3 variance
4.4 moments
4.5 the mean and the median
4.6 covariance and correlation
4.7 conditional expectation
4.8 utility
4.9 supplementary exercises
5 special distributio
5.1 introduction
5.2 the bernoulli and binomial distributio
5.3 the hypergeometric distributio
5.4 the poisson distributio
5.5 the negative binomial distributio
5.6 the normal distributio
5.7 the gamma distributio
5.8 the beta distributio
5.9 the multinomial distributio
5.10 the bivariate normal distributio
5.11 supplementary exercises
6 large random samples
6.1 introduction
6.2 the law of large numbe
6.3 the central limit theorem
6.4 the correction for continuity
6.5 supplementary exercises
7 estimation
7.1 statistical inference
7.2 prior and posterior distributio
7.3 conjugate prior distributio
7.4 bayes estimato
7.5 maximum likelihood estimato
7.6 properties of maximum likelihood estimato
7.7 sufficient statistics
7.8 jointly sufficient statistics
7.9 improving an estimator
7.10 supplementary exercises
8 sampling distributio of estimato
8.1 the sampling distribution of a statistic
8.2 the chi-square distributio
8.3 joint distribution of the sample mean and sample
variance
8.4 the t distributio
8.5 confidence intervals
8.6 bayesian analysis of samples from a normal
distribution
8.7 unbiased estimato
8.8 fisher information
8.9 supplementary exercises
9 testing hypotheses
9.1 problems of testing hypotheses
9.2 testing simple hypotheses
9.3 uniformly most powerful tests
9.4 two-sided alternatives
9.5 the t test
9.6 comparing the mea of two normal
distributio
9.7 the f distributio
9.8 bayes test procedures
9.9 foundational issues
9.10 supplementary exercises
10 categorical data and nonparametric methods
10.1 tests of goodness-of-fit
10.2 goodness-of-fit for composite hypotheses
10.3 contingency tables
10.4 tests of homogeneity
10.5 simpson’s paradox
10.6 kolmogorov-smirnov tests
10.7 robust estimation
10.8 sign and rank tests
10.9 supplementary exercises
11 linear statistical models
11.1 the method of least squares
11.2 regression
11.3 statistical inference in simple linear regression
11.4 bayesian inference in simple linear regression
11.5 the general linear model and multiple regression
11.6 analysis of variance
11.7 the two-way layout
11.8 the two-way layout with replicatio
11.9 supplementary exercises
12 simulation
12.1 what is simulation?
12.2 why is simulation useful?
12.3 simulating specific distributio
12.4 importance sampling
12.5 markov chain monte carlo
12.6 the bootstrap
12.7 supplementary exercises
tables
a we to odd-numbered exercises
references
index

章節(jié)摘錄

版權(quán)頁(yè):   插圖:   The events B1, B2,……B11 in Example 2.1.12 can be thought of in much the same way as the two events B1 and B2 that determine the mixture of long and short bolts in Example 2.1.11. There is only one box of bolts, but there is uncertainty about its composition. Similarly in Example 2.1.12, there is only one group of patients,but we believe that it has one of 11 possible compositions determined by the events B1, B2,……B11. To call these events, they must be subsets of the sample space for the experiment in question. That will be the case in Example 2.1.12 if we imagine that the experiment consists not only of observing the numbers of successes and failures among the patients but also of potentially observing enough additional patients to be able to compute p, possibly at some time very far in the future. Similarly, in Example 2.1.11, the two events B1 and B2 are subsets of the sample space if we imagine that the experiment consists not only of observing one sample bolt but also of potentially observing the entire composition of the box. Throughout the remainder of this text, we shall implicitly assume that experi-ments are augmented to include outcomes that determine the values of quantities such as p. We shall not require that we ever get to observe the complete outcome of the experiment so as to tell us precisely what p is, but merely that there is an exper-iment that includes all of the events of interest to us, including those that determine quantities like p.Augmented Experiment. If desired, any experiment can be augmented to include the potential or hypothetical observation of as much additional information as we would find useful to help us calculate any probabilities that we desire. Definition 2.1.3 is worded somewhat vaguely because it is intended to cover a wide variety of cases. Here is an explicit application to Example 2.1.12.

編輯推薦

《概率統(tǒng)計(jì)(英文版?第4版)》中內(nèi)容豐富完整,適當(dāng)?shù)剡x擇某些章節(jié),可以作為一學(xué)年的概率論與數(shù)理統(tǒng)計(jì)課程的教材,亦可作為一學(xué)期的概率論與隨機(jī)過程的教材。

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用戶評(píng)論 (總計(jì)20條)

 
 

  •   書很厚,還英文版的!很多內(nèi)容和 統(tǒng)計(jì)學(xué) 重復(fù)!不過有自己的新知識(shí)點(diǎn)
  •   這本書非常好,正版包裝很精致。但是足足有近900頁(yè),想讀下來需要時(shí)間。為下學(xué)期的留學(xué)生定的教材,但是猶豫用還是不用這套,實(shí)在太厚了,但是絕對(duì)是好書,贊!
  •   比較厚、慢慢讀
  •   期待很久的一本書,非常好看 ,很值得拼讀。
  •   還未打開,看起來不錯(cuò),不過這本書太貴了。
  •   還沒有開始看,不過要留學(xué)嗎,這點(diǎn)苦還是要吃的。O(∩_∩)O哈哈~
  •   哥大觀光團(tuán)強(qiáng)烈推薦!
  •   值得仔細(xì)閱讀,慢慢啃了要
  •   數(shù)質(zhì)量還可以,有點(diǎn)小貴
  •   英文版的,需要點(diǎn)基礎(chǔ)
  •   質(zhì)量很好,但覺得有點(diǎn)小貴
  •   氣場(chǎng)((暢銷升級(jí)版)
  •   書的內(nèi)容很好,寫得很詳細(xì)。書的質(zhì)量還可以做得更好一點(diǎn)
  •   書的內(nèi)容還不錯(cuò),打算好好看
  •   質(zhì)量好,送貨快,書很經(jīng)典
  •   這本書應(yīng)該還是不錯(cuò)的,外國(guó)有不少名校,譬如哈佛,都是用這本書的。
  •   讀了兩下就讀不下去。數(shù)學(xué)味太濃。純屬老式教學(xué),新生代看到這種書就沒有興趣了。
  •   嚴(yán)謹(jǐn)程度Mendenhall(statistics for engineers and the sciences)<Rice(mathematical statistics and data analysis)<<本書 思路清晰,例子也很多,特別適合希望“知其所以然”的讀者
  •   非常好,非常好,亞馬遜的服務(wù)、書,都很好?。?!太值了!
  •   不愧為最好的關(guān)于概率統(tǒng)計(jì)的教材。強(qiáng)烈推薦,比國(guó)內(nèi)的書要好的多啊。

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