Theoretical Statistics: Topics for a Core Course (Springer Texts in Statistics) by Robert W. Keener
English | Sep 17, 2010 | ISBN: 0387938389 | 557 Pages | PDF | 2 MB
Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology.
Measure theory is used, but the notation and basic results needed are presented in an initial chapter on probability, so prior knowledge of these topics is not essential.
The presentation is designed to expose students to as many of the central ideas and topics in the discipline as possible, balancing various approaches to inference as well as exact, numerical, and large sample methods.
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