Discussion on Generalized Modified Inverse Rayleigh

Authors

Suleman Nasiru, Institute for Basic Sciences, Technology and Innovation, Pan African University, P. O. Box 62000-00200, Nairobi, KenyaFollow
Peter N. Mwita, Department of Mathematics, Machakos University, P. O. Box 136-90100, Machakos, KenyaFollow
Oscar Ngesa, Mathematics and Informatics Department, Taita Taveta University, P. O. Box 635-80300, Voi, KenyaFollow

Author Country (or Countries)

Kenya

Abstract

In this paper, a generalization of the modified inverse Rayleigh distribution called the new exponentiated generalized modified inverse Rayleigh distribution is proposed and studied. Various sub-models of the new distribution were discussed and statistical properties such as the quantile function, moment, moment generating function, Re´nyi entropy, reliability measure and order statistics were derived. The parameters of the new model were estimated using the method of maximum likelihood estimation and simulations were performed to assess the stability of the parameters with regards to the estimation method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120110

Recommended Citation

Nasiru, Suleman; N. Mwita, Peter; and Ngesa, Oscar (2018) "Discussion on Generalized Modified Inverse Rayleigh," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/amis/120110
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/10