Statistical Theory and Inference

Statistical Theory and Inference


This textual content is for a one semester graduate path in statistical concept and covers minimum and whole enough facts, greatest chance estimators, approach to moments, bias and suggest sq. errors, uniform minimal variance estimators and the Cramer-Rao decrease certain, an advent to giant pattern conception, probability ratio exams and uniformly strongest exams and the Neyman Pearson Lemma. an important target of this article is to make those themes even more obtainable to scholars by utilizing the speculation of exponential families.

Exponential households, indicator features and the help of the distribution are used through the textual content to simplify the idea. greater than 50 ``brand identify" distributions are used to demonstrate the speculation with many examples of exponential households, greatest probability estimators and uniformly minimal variance impartial estimators. there are various homework issues of over 30 pages of solutions.

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