Discrimination Between Burr Type X Distribution Versus Log – Logistic and Weibull - Exponential Distributions

Volume 6 Issue 4 October - December 2017

Research Paper

Discrimination Between Burr Type X Distribution Versus Log – Logistic and Weibull - Exponential Distributions

M. S. Ravikumar*, R. R. L. Kantam**

* Associate Professor, Department of Community Medicine, Konaseema Institute of Medical Sciences & Research Foundation/ General Hospital, Amalapuram, Andhra Pradesh, India.

** Former Professor, Department of Statistics, Acharya Nagarjuna University, Nagarjunanagar, Andhra Pradesh, India.

Ravikumar, M.S., Kantam, R.R.L. (2017). Discrimination Between Burr Type X Distribution Versus Log – Logistic and Weibull - Exponential Distributions. i-manager’s Journal on Mathematics, 6(4), 39-50. https://doi.org/10.26634/jmat.6.4.13864

Abstract

The well known Burr type X distribution is considered as a null population. Log-logistic and Weibull-Exponential (Dubey - 1966) distributions are taken as alternative populations. Two test statistics based on population quantiles, Likelihood Ratio (LR) type criteria are suggested to discriminate between the considered null and alternative populations. The percentiles of the proposed test statistics are evaluated. The performance of the test procedures are compared through the respective values of computed power functions.