Document Type
Article
Source Publication Title
Journal of Statistical and Econometric Methods
First Page
23
Last Page
63
Abstract
Burr Type VII, a one-parameter non-normal distribution, is among the less studied distributions, especially, in the contexts of statistical modeling and simulation studies. The main purpose of this study is to introduce a methodology for simulating univariate and multivariate Burr Type VII distributions through the method of ??-moments and ??-correlations. The methodology can be applied in statistical modeling of events in a variety of applied mathematical contexts and Monte Carlo simulation studies. Numerical examples are provided to demonstrate that ??-moment-based Burr Type VII distributions are superior to their conventional moment-based analogs in terms of distribution fitting and estimation. Simulation results presented in this study also demonstrate that the estimates of ??-skew, ??-kurtosis, and ??-correlation are substantially superior to their conventional product-moment based counterparts of skew, kurtosis, and Pearson correlation in terms of relative bias and relative efficiency when distributions with greater departure from normality are used.
Disciplines
Curriculum and Instruction | Education
Publication Date
1-1-2014
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Abadzi, H. "Why we need ancient Greek and how to remember it: Comparisons between Greece and South Asia". Filologiki, 1994, 12, 20-24 (in Greek)