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Regression Modeling with Actuarial and Financial Applications by Edward W. Frees

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Appendix 1

Basic Statistical Inference

Appendix Preview. This appendix provides definitions and facts from a course in basic statistical inference that are needed in one’s study of regression analysis.

A1.1 Distributions of Functions of Random Variables

Statistics and Sampling Distributions. A statistic summarizes information in a sample and hence is a function of observations y1, . . . , yn. Because observations are realizations of random variables, the study of distributions of functions of random variables is really the study of the distributions of statistics, known as sampling distributions. Linear combinations of the form are an important ...

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