概率与统计推断 第1卷：概率

English | PDF | 1985 | 355 Pages | ISBN : 0387961445 | 23.8 MB

This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It emphasizes applications and logical principles rather than math­ ematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with mathematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the like­ lihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and in­ troduces coverage probability and confidence intervals. Chapter 12 de­ scribes tests of significance, with applications primarily to frequency data.

这本书分为两卷，旨在作为大学二年级或三年级 introductory 概率与统计课程的教材。它强调应用和逻辑原则而非数学理论。大多数材料都需要新生微积分的良好背景知识。一些星号部分被包括作为补充材料。几乎有900个问题和练习题，并且附录A包含大约三分之一的答案。第一卷（第1-8章）处理概率模型及其描述和操纵它们的数学方法。在内容和结构上类似于1979年的版本。某些章节已经重新编写并扩展了——例如独立随机变量和条件概率的讨论。许多新的练习题被添加了。第二卷（第9-16章）将概率模型作为数据分析和解释数据的基础。这部分有广泛修订。第9和10章描述了像在1979年版本那样使用似然函数来处理估计问题。然后，第11章讨论估计方法的频率属性，并引入覆盖概率和置信区间。第12章描述显著性检验，主要应用于频率数据的应用。

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