On Weighted Nwikpe Distribution: Properties and Applications

Authors

Maryam Mohiuddin, Department of Statistics, Annamalai University, Tamil Nadu-608002, IndiaFollow
Shabir A. Dar, Department of Mathematics, Annamalai University, Tamil Nadu-608002, IndiaFollow
Arshad A. Khan, Department of Mathematics, Annamalai University, Tamil Nadu-608002, IndiaFollow
M. Ahajeeth, Department of Statistics, Annamalai University, Tamil Nadu-608002, IndiaFollow

Abstract

In this article, two-parameter continuous distribution is introduced. The proposed distribution is obtained by using a weight technique and is referred to as weighted Nwikpe distribution. This distribution is a generalization of baseline distribution that is Nwikpe distribution. Some structural properties of the distribution are derived. These are density function, distribution function, and reliability function, hazard rate function, moments, moment generating function, entropies, order statistics, Bonferroni and Lorenz curves. The method of maximum likelihood estimation has been established for investigating the parameters of the model. The behaviour of the parameters of the distribution is examined by a simulation study. Real data set is used to determine whether the weighted Nwikpe distribution is better than other well-known distributions in modeling data or not.

Recommended Citation

Mohiuddin, Maryam; A. Dar, Shabir; A. Khan, Arshad; and Ahajeeth, M. (2022) "On Weighted Nwikpe Distribution: Properties and Applications," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/14