Intended for first-year graduate students specializing in statistics, this textbook seeks to build theoretical statistics from the first principles of probability theory. It covers the basics of probability theory and details major statistical principles, including sufficiency, likelihood, and invariance. It then outlines the methods of inference, estimation, and hypothesis testing. Special topics like asymptotic evaluations, analysis of variance and regression, and regression models are also discussed. Casella teaches at the University of Florida. Berger teaches at North Carolina State University.
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