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Probability and Statistical Inference: Volume 1: Probability

✍ Scribed by J. G. Kalbfleisch (auth.)


Publisher
Springer-Verlag New York
Year
1985
Tongue
English
Leaves
354
Series
Springer Texts in Statistics
Edition
2
Category
Library

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✦ Synopsis


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 mathΒ­ 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 likeΒ­ lihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and inΒ­ troduces coverage probability and confidence intervals. Chapter 12 deΒ­ scribes tests of significance, with applications primarily to frequency data.

✦ Table of Contents


Front Matter....Pages i-ix
Introduction....Pages 1-21
Equi-Probable Outcomes....Pages 22-63
The Calculus of Probability....Pages 64-106
Discrete Variates....Pages 107-154
Mean and Variance....Pages 155-199
Continuous Variates....Pages 200-264
Bivariate Continuous Distribution....Pages 265-294
Generating Functions....Pages 295-320
Back Matter....Pages 321-343

✦ Subjects


Probability Theory and Stochastic Processes


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