Published by the Foundation for Open Access Statistics Editors-in-chief: Bettina Grün, Torsten Hothorn, Rebecca Killick, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
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Authors: Todd C. Headrick, Yanyan Sheng, Flaviu-Adrian Hodis
Title: Numerical Computing and Graphics for the Power Method Transformation Using Mathematica
Abstract: This paper provides the requisite information and description of software that perform numerical computations and graphics for the power method polynomial transformation. The software developed is written in the Mathematica 5.2 package PowerMethod.m and is associated with fifth-order polynomials that are used for simulating univariate and multivariate non-normal distributions. The package is flexible enough to allow a user the choice to model theoretical pdfs, empirical data, or a user's own selected distribution(s). The primary functions perform the following (a) compute standardized cumulants and polynomial coefficients, (b) ensure that polynomial transformations yield valid pdfs, and (c) graph power method pdfs and cdfs. Other functions compute cumulative probabilities, modes, trimmed means, intermediate correlations, or perform the graphics associated with fitting power method pdfs to either empirical or theoretical distributions. Numerical examples and Monte Carlo results are provided to demonstrate and validate the use of the software package. The notebook Demo.nb is also provided as a guide for user of the power method.

Page views:: 13835. Submitted: 2006-04-10. Published: 2007-04-21.
Paper: Numerical Computing and Graphics for the Power Method Transformation Using Mathematica     Download PDF (Downloads: 13664)
Demo.nb: Example code from the paper Download (Downloads: 2193; 255KB)
PowerMethod.m: b: Example code from the paper Download (Downloads: 1807; 34KB)
PowerMethod.nb: Example code from the paper Download (Downloads: 1713; 48KB)

DOI: 10.18637/jss.v019.i03

This work is licensed under the licenses
Paper: Creative Commons Attribution 3.0 Unported License
Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.