Current Volume | Browse
Vol. 25Vol. 24*Vol. 23Vol. 22*
Vol. 21Vol. 20*Vol. 19Vol. 18*
Vol. 17Vol. 16Vol. 15Vol. 14
Vol. 13*Vol. 12Vol. 11Vol. 10*
Vol. 9Vol. 8Vol. 7Vol. 6
Vol. 5Vol. 4Vol. 3Vol. 2
Vol. 1
* = Special Volume
| Search | RSS
Home | Instructions for Authors | LaTeX Style Files | Editorial Board

Authors: Todd C. Headrick, Yanyan Sheng, Flaviu-Adrian Hodis
Title: [download]
(1663)
Numerical Computing and Graphics for the Power Method Transformation Using Mathematica
Reference: Vol. 19, Issue 3, Apr 2007
Submitted 2006-04-10, Accepted 2007-04-21
Type: Article
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.

Paper: [download]
(1663)
Numerical Computing and Graphics for the Power Method Transformation Using Mathematica
(application/pdf, 432.9 KB)
Supplements: [download]
(390)
Demo.nb: Example code from the paper
(application/octet-stream, 255.4 KB)
[download]
(340)
PowerMethod.mb: Example code from the paper
(application/octet-stream, 33.7 KB)
[download]
(159)
PowerMethod.nb: Example code from the paper
(application/octet-stream, 48.4 KB)
Resources: BibTeX | OAI
Current Volume | Browse
Vol. 25Vol. 24*Vol. 23Vol. 22*
Vol. 21Vol. 20*Vol. 19Vol. 18*
Vol. 17Vol. 16Vol. 15Vol. 14
Vol. 13*Vol. 12Vol. 11Vol. 10*
Vol. 9Vol. 8Vol. 7Vol. 6
Vol. 5Vol. 4Vol. 3Vol. 2
Vol. 1
* = Special Volume
| Search | RSS
Home | Instructions for Authors | LaTeX Style Files | Editorial Board