The Characterization of the Cubic Rank Inverse Weibull Distribution
Adebisi Ade Ogunde *
Department of Statistics, University of Ibadan, Nigeria.
Angela Unna Chukwu
Department of Statistics, University of Ibadan, Nigeria.
Samuel obi-Nnamdi Agwuegbo
Department of Statistics, Federal University of Agriculture, Abeokuta, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This work provides a new statistical distribution named Cubic rank transmuted Inverse Weibull distribution which was developed using the cubic transmutation map. Various statistical properties of the new distribution which includes: hazard function, moments, moment generating function, skewness, kurtosis, Renyl entropy and the order statistics were studied. A maximum likelihood estimation method was used in estimating the parameters of the distribution. Applications to real data set show the tractability of the distribution over other distributions and its sub-model.
Keywords: Cubic transmutation map, Renyl entropy, moment, kurtosis, order statistics