Titlebook: Statistics for Mathematicians; A Rigorous First Cou Victor M. Panaretos Textbook 2016 Springer International Publishing Switzerland 2016 62

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2296-4568 tics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.. . .978-3-319-28339-5978-3-319-28341-8Series ISSN 2296-4568 Series E-ISSN 2296-455X

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Myofibrils

Regular Probability Models,ble for, and derives some of their key properties, including their behaviour under transformation. It also introduces the exponential family of distributions as a unifying framework for later results to be stated in more generality. The last part of the chapter considers the problem of choosing a pa

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Macronutrients

Tests of Hypotheses for Model Parameters,erent forms of hypothesis pairs. It then uses the question of optimality of tests as a means for motivating specific test functions. This is done in a general setup for simple-vs-simple hypotheses, and in an exponential family context for one-sided alternatives. The likelihood ratio method and Wald’

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Textbook 2016entary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.. . .