Introduction to Mathematical Statistics, 8/e (GE-Paperback)

Robert V. Hogg , Joeseph W. Mckean , Allen T. Craig

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商品描述

Comprehensive coverage of mathematical statistics – with a proven approach
Introduction to Mathematical Statistics by Hogg, McKean, and Craig enhances student comprehension and retention with numerous, illustrative examples and exercises. Classical statistical inference procedures in estimation and testing are explored extensively, and the text’s flexible organization makes it ideal for a range of mathematical statistics courses.

Substantial changes to the 8th Edition – many based on user feedback – help students appreciate the connection between statistical theory and statistical practice, while other changes enhance the development and discussion of the statistical theory presented.

1. Many additional real data sets to illustrate statistical methods or compare methods.

2. Expanded use of the statistical software R, a powerful statistical language which is free and can run on all three main platforms. However, instructors can choose another statistical package if desired.

3. Downloadable, supplemented mathematical review material in Appendix A: reviews sequences, infinite series, differentiation, and integration (univariate and bivariate).

4. Expanded discussion of iterated integrals, with added figures to clarify discussion.

5. A new subsection on the bivariate normal distribution begins the section on the multivariate normal distribution in Chapter 3 (Some Special Distributions).

6. Several important topics have been added, including Tukey’s multiple comparison procedure in Chapter 9 (Inferences About Normal Linear Models)and confidence intervals for the correlation coefficients found in Chapters 9 and 10 (Nonparametric and Robust Statistics).

7. Discussion on standard errors for estimates obtained by bootstrapping the sample is now offered in Chapter 7 (Sufficiency).

Several topics that were discussed in the Exercises are now discussed in the text, including quantiles in Section 1.7.1 and hazard functions in Section 3.3.

商品描述(中文翻譯)

《數理統計學導論》(Hogg, McKean, and Craig)全面涵蓋數理統計學,並採用經過驗證的方法,以增強學生的理解和記憶。書中提供了大量的例子和練習,以幫助學生學習經典的統計推斷方法,包括估計和檢定。此外,該書的組織靈活,適用於各種數理統計學課程。

第8版進行了大量的修改,其中許多修改是基於使用者的反饋,以幫助學生理解統計理論與實踐之間的聯繫,同時增強了統計理論的發展和討論。

1. 增加了許多實際數據集,以說明統計方法或比較方法。

2. 擴展了統計軟件R的使用,R是一種功能強大的統計語言,免費且可在所有主要平台上運行。然而,如果需要,教師可以選擇其他統計軟件。

3. 在附錄A中提供了可下載的補充數學復習材料,包括序列、無窮級數、微分和積分(單變量和雙變量)的復習。

4. 擴展了對重複積分的討論,並添加了圖表以澄清討論。

5. 在第3章(一些特殊分佈)中,新增了關於雙變量正態分佈的一個新小節,開始介紹多變量正態分佈。

6. 新增了幾個重要主題,包括第9章(關於正態線性模型的推斷)中的Tukey多重比較程序,以及第9章和第10章(非參數統計和健壯統計)中的相關係數的置信區間。

7. 現在在第7章(充分性)中提供了關於通過對樣本進行自助法獲得的估計的標準誤差的討論。

書中將一些在練習中討論的主題轉移到了正文中,包括第1.7.1節中的分位數和第3.3節中的危險函數。

目錄大綱

Ch 1 Probability and Distributions
Ch 2 Multivariate Distributions
Ch 3 Some Special Distributions
Ch 4 Some Elementary Statistical Inferences
Ch 5 Consistency and Limiting Distributions
Ch 6 Maximum Likelihood Methods
Ch 7 Sufficiency
Ch 8 Optimal Tests of Hypotheses
Ch 9 Inferences About Normal Linear Models
Ch10 Nonparametric and Robust Statistics
Ch11 Bayesian Statistics

目錄大綱(中文翻譯)

第一章 機率與分佈
第二章 多變量分佈
第三章 一些特殊分佈
第四章 一些基本統計推論
第五章 一致性與極限分佈
第六章 最大概似法
第七章 充分性
第八章 最佳假設檢定
第九章 關於正態線性模型的推論
第十章 非參數統計和強健統計
第十一章 貝葉斯統計