An L-Moment-Based Analog for the Schmeiser-Deutsch Class of Distributions

Authors

Todd C. Headrick, Southern Illinois University CarbondaleFollow
Mohan D. Pant, University of Texas at Arlington

Comments

Published in ISRN Applied Mathematics, Vol. 2012 doi:10.5402/2012/475781

Abstract

This paper characterizes the conventional moment-based Schmeiser-Deutsch (S-D) class of distributions through the method of L-moments. The system can be used in a variety of settings such as simulation or modeling various processes. A procedure is also described for simulating S-D distributions with specified L-moments and L-correlations. The Monte Carlo results presented in this study indicate that the estimates of L-skew, L-kurtosis, and L-correlation associated with the S-D class of distributions are substantially superior to their corresponding conventional product-moment estimators in terms of relative bias—most notably when sample sizes are small.

Recommended Citation

Headrick, Todd C. and Pant, Mohan D. "An L-Moment-Based Analog for the Schmeiser-Deutsch Class of Distributions." (Jan 2012).