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Theory of Statistics

James E. Gentle Theory of Statistics Theory of Statistics 2000 2013. c James E. Gentle Theory of Statistics 2000 2013. c James E. Gentle Preface: mathematical Statistics After teaching mathematical Statistics for several years using chalk on a black- board (and, later, smelly dry erase markers on a whiteboard) mostly doing proofs of theorems, I decided to lecture from computer slides that provide an outline of the big picture . Rather than spend class time doing proofs that are given in standard texts, I decided that time would be better spent discussing the material from a different, higher-level perspective. While lecturing from canned slides, I cannot, however, ignore certain de- tails of proofs and minutiae of examples.

ofspecific methods (see page 240). The student shoulddevelop anappreciation for the relations between principles, approaches, and methods. This book on mathematical statistics assumes a certain amount of back-ground in mathematics. Followingthe final …

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