Probability with statistical applications
著者
書誌事項
Probability with statistical applications
Birkhäuser, c2012
2nd ed.
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注記
Includes index
内容説明・目次
内容説明
This second edition textbook 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 one entirely new chapter (9) on 'Finding and Comparing Estimators.' The classroom-tested material presented in this second edition forms the basis for a second course introducing mathematical statistics.
目次
Preface to the Second Edition.- Preface.- Probability Space.- Random Variables.- Binomial and Poisson Random Variables.- Limit Theorems.- Estimation and Hypothesis Testing.- Linear Regression.- Moment Generating Functions and Sums of Independent Random Variables.- Transformations of Random Variables and Random Vectors.- Finding and Comparing Estimators.- Multiple Linear Regression.- Further Reading.- Common Distributions.- Normal Table.- Student Table.- Chi-Square Table.- Index.
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