Odd Lomax-Kumaraswamy Distribution: Its Properties and Applications
Bassa Shiwaye Yakura *
Department of General Studies Education, School of General Education, Federal College of Education, Yola, Adamawa State, Nigeria.
Ahmed Askira Sule
Department of Statistics, Ramat Polytechnic Maiduguri, Borno State, Nigeria.
Mustapha Mohammed Dewu
Centre for Geodesy and Geodynamics, P.M.B. 011 Toro, Bauchi State, Nigeria.
Kabiru Ahmed Manju
Department of General Studies Education, School of General Education, Federal College of Education, Yola, Adamawa State, Nigeria.
Fadimatu Bawuro Mohammed
Department of Statistics, College of Science and Technology, Adamawa State Polytechnic Yola, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This article uses the odd Lomax-G family of distributions to study a new extension of the Kumaraswamy distribution called “odd Lomax-Kumaraswamy distribution”. In this article, the density and distribution functions of the odd Lomax-Kumaraswamy distribution are defined and studied with many other properties of the distribution such as the ordinary moments, moment generating function, characteristic function, quantile function, reliability functions, order statistics and other useful measures. The model parameters are estimated by the method of maximum likelihood. The goodness-of-fit of the proposed distribution is demonstrated using two real data sets.
Keywords: Lomax-G family, Kumaraswamy distribution, odd Lomax-Kumaraswamy distribution, statistical properties, parameter estimation, goodness-of-fit.