Document Type
Article
Source Publication Title
ISRN Probability and Statistics
DOI
http://dx.doi.org/10.5402/2012/245986
Abstract
This paper introduces a standard logistic L-moment-based system of distributions. The proposed system is an analog to the standard normal conventional moment-based Tukey g-h, g, h, and h-h system of distributions. The system also consists of four classes of distributions and is referred to as i asymmetric ?-?, ii log-logistic ?, iii symmetric ?, and iv asymmetric ?L-?R. The system can be used in a variety of settings such as simulation or modeling events—most notably when heavytailed distributions are of interest. A procedure is also described for simulating ?-?, ?, ?, and ?L-?R distributions with specified L-moments and L-correlations. The Monte Carlo results presented in this study indicate that estimates of L-skew, L-kurtosis, and L-correlation associated with the ?-?, ?, ?, and ?L-?R distributions are substantially superior to their corresponding conventional productmoment estimators in terms of relative bias and relative standard error.
Disciplines
Curriculum and Instruction | Education
Publication Date
1-1-2012
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Headrick, Todd C. and Pant, Mohan, "A logistic L-moment based analog for the Tukey g-h, g, h, and h-h system of distributions" (2012). Curriculum and Instruction Faculty Publications. 31.
https://mavmatrix.uta.edu/curriculuminstruction_facpubs/31