Document Type
Article
Source Publication Title
Communications in Statistics - Simulation and Computation
First Page
1611
Last Page
1627
DOI
http://dx.doi.org/10.1080/03610918.2015.1048878
Abstract
A characterization of Burr Type III and Type XII distributions based on the method of percentiles (MOP) is introduced and contrasted with the method of (conventional) moments (MOM) in the context of estimation and fitting theoretical and empirical distributions. The methodology is based on simulating the Burr Type III and Type XII distributions with specified values of medians, inter-decile ranges, left-right tail-weight ratios, tail-weight factors, and Spearman correlations. Simulation results demonstrate that the MOP-based Burr Type III and Type XII distributions are substantially superior to their (conventional) MOM-based counterparts in terms of relative bias and relative efficiency.
Disciplines
Curriculum and Instruction | Education
Publication Date
1-1-2015
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Pant, Mohan and Headrick, Todd C., "A characterization of the Burr Type III and Type XII distributions through the method of percentiles and the Spearman correlation" (2015). Curriculum and Instruction Faculty Publications. 74.
https://mavmatrix.uta.edu/curriculuminstruction_facpubs/74