This book provides a calculus-based introduction to mathematical statistics. The book integrates probability and statistics, distribution theory and inference, and estimation and hypothesis testing. It will serve as an important reference for students in statistics and applied disciplines.
Wide audience, it will serve as an important reference for anyone in statistics and the applied disciplines * The book aims to be mathematically complete: every formula is derived, and every theorem proved at the appropriate level * Each new concept is introduced and exemplified by interesting statistical problems; and more abstract concepts appear only gradually * Emphasizes modeling of experimental data while avoiding abstract probability and distribution theory * Users are led to do mathematical statistics, not just to appreciate it, with the assistance of 500 interesting exercises
George R. Terrell
Bernoulli process Likelihood Logistic Regression Probability theory Random variable mathematical statistics statistics
"The book is very easy and enjoyable to read ... it offers a refreshing point of view in an area which has been dominated by texts following almost exclusively by theoretical expositions."
Short Book Reviews, Vol. 20/2, August 2000
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