Statistical Inference, 2/e (Paperback)
暫譯: 統計推論(第二版)

George Casella , Roger L. Berger

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商品描述

<內容簡介>

This book builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and consequences of previous concepts. Intended for first-year graduate students, this book can be used for students majoring in statistics who have a solid mathematics background. It can also be used in a way that stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures for a variety of situations, and less concerned with formal optimality investigations.


 <章節目錄>

1. Probability Theory.
2. Transformations and Expectations.
3. Common Families of Distributions.
4. Multiple Random Variables.
5. Properties of a Random Sample.
6. Principles of Data Reduction.
7. Point Estimation.
8. Hypothesis Testing.
9. Interval Estimation.
10. Asymptotic Evaluations.
11. Analysis of Variance and Regression.
12. Regression Models.

商品描述(中文翻譯)

內容簡介
本書從概率論的基本原理建立理論統計。從概率的基礎開始,作者使用統計技術、定義和概念發展統計推斷理論,這些技術、定義和概念是統計的,並且是先前概念的自然延伸和結果。本書旨在為一年級研究生而寫,適合具有扎實數學背景的統計專業學生使用。它也可以以強調統計理論更實用用途的方式使用,更關注於理解基本統計概念並為各種情況推導合理的統計程序,而不太關心正式的最優性研究。

章節目錄
1. 概率論。
2. 變換與期望。
3. 常見的分佈族。
4. 多重隨機變數。
5. 隨機樣本的性質。
6. 數據簡化原則。
7. 點估計。
8. 假設檢定。
9. 區間估計。
10. 漸近評估。
11. 方差分析與回歸。
12. 回歸模型。