✍ Scribed by Rinaldo B. Schinazi (auth.)
No coin nor oath required. For personal study only.
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.
Front Matter....Pages i-xi
Probability Space....Pages 1-23
Random Variables....Pages 25-67
Binomial and Poisson Random Variables....Pages 69-98
Limit Theorems....Pages 99-113
Estimation and Hypothesis Testing....Pages 115-159
Linear Regression....Pages 161-178
Moment Generating Functions and Sums of Independent Random Variables....Pages 179-199
Transformations of Random Variables and Random Vectors....Pages 201-268
Finding and Comparing Estimators....Pages 269-309
Multiple Linear Regression....Pages 311-331
Back Matter....Pages 333-347
Probability Theory and Stochastic Processes; Applications of Mathematics; Statistical Theory and Methods; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
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