Open AccessInverse Odd Weibull Generated Family of Distribution
Author(s) -
Joseph Thomas Eghwerido,
John David Ikwuoche,
O.D. Adubisi
Publication year - 2020
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v16i3.2760
Subject(s) - kurtosis , mathematics , weibull distribution , quantile , order statistic , statistics , inverse distribution , exponentiated weibull distribution , estimator , skewness , hazard , inverse , distribution (mathematics) , maximum likelihood , heavy tailed distribution , probability distribution , mathematical analysis , chemistry , geometry , organic chemistry
This work proposes an inverse odd Weibull (IOW) family of distributions for a lifetime distributions. Some mathematical properties of this family of distribution were derived. Survival, hazard, quantiles, reversed hazard, cumulative, odd functions, kurtosis, skewness, order statistics and entropies of this new family of distribution were examined. The parameters of the family of distributions were obtained by maximum likelihood. The behavior of the estimators were studied through simulation. The exibility and importance of the distribution by means of real data set applications were emphasized.