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This book is intended for a course entitled Mathematical Statistics o?ered at the Department of Statistics, University of Wisconsin-Madison.
This course, taught in a mathematically rigorous fashion, covers essential - terials in statistical theory that a ?rst or second year graduate student typically needs to learn as preparation for work on a Ph.
D. degree in stat- tics. The course is designed for two 15-week semesters, with three lecture hours and two discussion hours in each week.
Students in this course are assumed to have a good knowledge of advanced calculus.
A course in real analysis or measure theory prior to this course is often recommended.
Chapter 1 provides a quick overview of important concepts and results in measure-theoretic probability theory that are used as tools in the rest of the book.
Chapter 2 introduces some fundamental concepts in statistics, including statistical models, the principle of su?ciency in data reduction, and two statistical approaches adopted throughout the book: statistical decision theory and statistical inference.
Each of Chapters 3 through 7 provides a detailed study of an important topic in statistical decision t- ory and inference; Chapter 3 introduces the theory of unbiased estimation; Chapter 4 studies theory and methods in point estimation under param- ric models; Chapter 5 covers point estimation in nonparametric settings; Chapter 6 focuses on hypothesis testing; and Chapter 7 discusses int- val estimation and con?dence sets.
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- Format:PDF
- Publisher:Springer New York
- Publication Date:06/04/2006
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- ISBN:9780387227597
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Information
-
Download Now
- Format:PDF
- Publisher:Springer New York
- Publication Date:06/04/2006
- Category:
- ISBN:9780387227597