Probability with Statistical Applications

This second edition of Probability With Statistical Applications offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability.

The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of two entirely new chapters on “Finding and Comparing Estimators” and “Multiple Linear Regression.” The classroom-tested material presented in this second edition textbook forms the basis for a second course introducing mathematical statistics.

• Binomial and Poisson random variables
• Cramer--Rao lower bound
• Estimation and hypothesis testing
• Estimators
• Limit theorems
• Linear regression
• Miximum likelihood
• Moment generating functions
• Rao--Blackwell theorem
• Transformations of random variable and random vectors

From the reviews of the second edition:

“This book is based on material to be presented in a first one-semester introductory course on probability theory (with applications in statistics) for engineering, physics, computer science or mathematics students. … each section is closed by a list of exercises and further exercises are given at the end of each chapter reveweing the topics discussed so far.” (Martin Riedler, zbMATH, Vol. 1276, 2014)

“The book covers a number of selected topics in probability suitable for a semester course in the subject, and contains chapters studying statistical applications of the theory. … The selection of main topics is similar to what one finds in the classic books. … I recommend this book for first and second semester of an undergraduate course in probability and statistics. In addition, instructors teaching such a course will find some very good examples and exercises for classroom use.” (Mehdi Hassani, The Mathematical Association of America, April, 2012)

• , Mathematics, University of Colorado, Colorado Springs, USA

  Rinaldo B. Schinazi

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