Application of Transformations in Parametric Inference

by Naomi Brownstein and Marianna Pensky University of Central Florida Journal of Statistics Education Volume 16, Number 1 (2008), www.amstat.org/publications/jse/v16n1/brownstein.html
Copyright © 2008 by Naomi Brownstein and Marianna Pensky all rights reserved.

Abstract
The objective of the present paper is to provide a simple approach to statistical inference using the method of transformations of variables. We demonstrate performance of this powerful tool on examples of constructions of various estimation procedures, hypothesis testing, Bayes analysis and statistical inference for the stress-strength systems. We argue that the tool of transformations not only should be used more widely in statistical research but should become a routine part of calculus-based courses of statistics. Finally, we provide sample problems for such a course as well as possible undergraduate reserach projects which utilize transformations of variables.

Keywords: Transformations of variables; Estimation; Testing; Stress-strength model; Bayesian inference.

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