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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.

address some important properties of probability distributions that determine properties of statistical methods when applied to observations from those distributions. Chapter 3 covers many of the fundamentals of statistics. It provides an overview of the topics that will be addressed in more detail in Chapters 4 through 8.

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