J. L. Hodges, Jr. and E. L. Lehmann
Classics in Applied Mathematics 48
Basic Concepts of Probability and Statistics provides a mathematically rigorous introduction to the fundamental ideas of modern statistics for readers without a calculus background. It is the only book at this level to introduce readers to modern concepts of hypothesis testing and estimation, covering basic concepts of finite, discrete models of probability and elementary statistical methods. Although published in 1970, it maintains a modern outlook, especially in its emphasis on models and model building and also by its coverage of topics such as simple random and stratified survey sampling, experimental design, and nonparametric tests and its discussion of power.
The book covers a wide range of applications in manufacturing, biology, and social science, including demographics, political science, and sociology. Each section offers extensive problem sets, with selected answers provided at the back of the book. Among the topics covered that readers may not expect in an elementary text are optimal design and a statement and proof of the fundamental (Neyman–Pearson) lemma for hypothesis testing.
Basic Concepts of Probability and Statistics is intended for high school and undergraduate students as well as others who want a mathematically rigorous introduction to probability and statistics that does not require calculus. It is well suited to supplement high school and college courses on discrete mathematics and will appeal especially to instructors teaching statistics courses within mathematics departments.
Preface to the Classics Edition; Preface to the Second Edition; Preface to the First Edition; Part I: Probability. Chapter 1: Probability Models; Chapter 2: Sampling; Chapter 3: Product Models; Chapter 4: Conditional Probability; Chapter 5: Random Variables; Chapter 6: Special Distributions; Chapter 7: Multivariate Distributions; Part II: Statistics. Introduction to Statistics; Chapter 8: Estimation; Chapter 9: Estimation in Measurement and Sampling Models; Chapter 10: Optimum Methods of Estimation; Chapter 11: Tests of Significance; Chapter 12: Tests for Comparative Experiments; Chapter 13: Concept of Power;
Tables; Selected answers to problems; Index; Example Index.
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2005 / xiv + 441 pages / Softcover / ISBN-13: 978-0-898715-75-0 / ISBN-10: 0-89871-575-X /
List Price $54.50 / SIAM Member Price $38.15 / Order Code CL48