This text is intended for a one-semester course, and offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Only basic calculus is required. The book is written so that the calculus difficulties do not obscure the probability content. The exposition initially focuses on fundamental probability concepts and an easy introduction to statistics. Theory is kept to a minimum here, the striking feature being numerous exercises and examples.
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"This book is well-written and the presentation is clear and concise. The textbook is an introduction to probability theory and statistics. The text is intended for a one-semester course for undergraduates, but it can also serve as a basis for a high-school course. The level of the book is very elementary and in most of the chapters of the book only basic calculus is required. As promised by the author ``theory is kept to a minimum'' and it is successfully tried to ``minimize the difficulties students often have with calculus''. No measure theory is required. In the huge variety of examples rather explicit calculations are presented: moments of several distributions, confidence intervals, testing some parameters or proportions, linear regression and more. Every subsection is rounded off by numerous exercises. Only the last part of the book relies on advanced calculus: Taylor's formula, Fubini's theorem, and calculus of severable variables. In the appendix some tables of quantiles are provided."
―Zentralblatt Math
Preface * Probability Space * Random Variables * Binomial and Poisson Random Variables * Limit Theorems * Estimation and Hypothesis Testing * Linear Regression * Moment Generating Functions * Transformations of Random Variables and Random Vectors * Appendices * Index
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