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This classic, calculus-based introduction to the theory and application of statistics provides an unusually comprehensive depth and breadth of coverage and reflects the latest in statistical thinking and current practices.
New to this edition is the addition of an applications section at the end of each chapter that deals with the theory presented. Further emphasis has been placed on the use of computers in performing statistical calculations. Topics covered include probability distributions and densities, random variables, sampling distributions, hypothesis testing, regression and correlation, variance, and more.
An excellent reference work for professional statisticians in a variety of fields.
The seventh edition of John E. Freund's Mathematical Statistics, like the first six editions, is designed primarily for a two-semester or a three-quarter calculus-based introduction to the mathematics of statistics. It can used, however, for a single-semester course, emphasizing probability, probability distributions and densities, sampling, and classical statistical inference. For this purpose, the authors recommend that the course be based on Chapters 1-6, 8, 11, and 13. In addition, Sections 2.8, 4.8, 5.8, 5.9, 6.7, 8.7, and 13.8 may be omitted. In teaching this abbreviated course, the instructor may facilitate fitting the material into the time allotted by choosing several other sections to de-emphasize.
The major departure in this edition is the addition of a section at the end of each chapter, called "The Theory in Practice," and dealing in greater depth with some of the applications of the theory. The applied exercises in each chapter have been grouped together at the end of this new section. Subheadings have been supplied to indicate which exercises go with which section or sections to aid the instructor in assigning homework exercises.
Many students taking this course are experiencing the ideas of statistics for the first time. It is believed that it will be helpful for them to spend some time learning how the mathematical ideas of statistics carry over into the world of applications. To emphasize this new treatment, the authors have added "with Applications" to the title of the text. In addition, further emphasis has been placed on the use of computers in performing statistical calculations. Several new exercises have been added, many of which require the use of acomputer. New material has been added to Chapter 15, placing additional emphasis on experimental design and factorial experiments.
We would like to express our appreciation to the Robert E. Krieger Publishing Company for permission to base Table II on E. C. Molina's Poisson's Exponential Binomial Limit; to Prentice Hall, Inc., for permission to reproduce part of Table IV from R. A. Johnson and D. W. Wichern's Applied Multivariate Statistical Analysis; to Professor E. S. Pearson and the Biometrica trustees to reproduce the material in Tables V and VI; to the editors of Biometrics for permission to reproduce the material in Table IX from H. L. Harter's "Critical Values for Duncan's New Multiple Range Test"; to the editors of Biometrics for permission to reproduce the material in Tables V and VI from H. L. Harter's "Critical Values for Duncan's New Multiple Range Test; to the American Cyanamid Company to reproduce the material in Table X from F. Wilcoxon and R. A. Wilcox's Some Rapid Approximate Statistical Procedures; to D. Auble to base Table XI on his "Extended Tables for the Mann-Whitney Statistics," Bulletin of the Institute of Educational Research at Indiana University; to the editor of the Annals of Mathematical Statistics to reproduce the material in Table XII; and to MINITAB to reproduce the computer printouts shown in the text.
The authors would especially like to express their appreciation to the reviewers of the manuscript, Johana Hardin of Pomona College, Christopher Lake of Rowan University, Jackie Miller of Drury University, and Larry Stephens of the University of Nebraska at Omaha, whose suggestions the authors found helpful in the preparation of this new edition. The authors also would like to thank the staff at Prentice Hall for their courteous cooperation in the production of this book.
3. Probability Distributions and Probability Densities.
4. Mathematical Expectation.
5. Special Probability Distributions.
6. Special Probability Densities.
7. Functions of Random Variables.
8. Sampling Distributions.
9. Decision Theory.
10. Point Estimation.
11. Interval Estimation.
12. Hypothesis Testing.
13. Tests of Hypotheses Involving Means, Variances, and Proportions.
14. Regression and Correlation.
15. Design and Analysis of Experiments.
16. Nonparametric Tests.