Open AccessThe Characterization of the Cubic Rank Inverse Weibull Distribution
Author(s) -
Adebisi Ade Ogunde,
Angela Chukwu,
S. O. N. Agwuegbo
Publication year - 2020
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i730200
Subject(s) - kurtosis , weibull distribution , mathematics , skewness , inverse distribution , distribution fitting , statistics , order statistic , inverse , statistical physics , heavy tailed distribution , probability distribution , physics , geometry
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.