Introduction to Mathematical Statistics, 8/e (GE-Paperback)
暫譯: 數學統計學導論，第8版 (GE-平裝本)

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

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

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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)

全面涵蓋數學統計 - 以經驗證的方法
《數學統計導論》（Introduction to Mathematical Statistics）由 Hogg、McKean 和 Craig 所著，透過大量的示例和練習增強學生的理解和記憶。書中廣泛探討了估計和檢驗中的經典統計推斷程序，靈活的組織結構使其非常適合各種數學統計課程。

第八版的重大變更 - 許多基於用戶反饋 - 幫助學生理解統計理論與統計實踐之間的聯繫，而其他變更則增強了所呈現的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. 擴大了統計軟體 R 的使用，這是一種強大的統計語言，免費且可在三大主要平台上運行。然而，教師可以選擇其他統計套件（package）如果需要。

3. 附錄 A 中可下載的補充數學複習材料：回顧序列、無窮級數、微分和積分（單變量和雙變量）。

4. 擴展了迭代積分的討論，並增加了圖形以澄清討論。

5. 在第三章（某些特殊分佈）中，關於雙變量正態分佈的新子部分開始了多變量正態分佈的部分。

6. 增加了幾個重要主題，包括第九章（關於正態線性模型的推斷）中的 Tukey 多重比較程序，以及第九章和第十章（非參數和穩健統計）中發現的相關係數的信賴區間。

7. 現在在第七章（充分性）中提供了通過自助法（bootstrapping）獲得的估計的標準誤差的討論。

幾個在練習中討論的主題現在在文本中進行了討論，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)

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

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