Open AccessThe Exponentiated Half-logistic Odd Burr III-G: Model, Properties and Applications
Author(s) -
Broderick O. Oluyede,
Peter O. Peter,
Nkumbuludzi Ndwapi,
Huybrechts F. Bindele
Publication year - 2022
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.v18i1.3668
Subject(s) - mathematics , quantile function , quantile , statistics , moment generating function , maximum likelihood , hazard , rényi entropy , moment (physics) , stochastic ordering , probability density function , principle of maximum entropy , chemistry , physics , organic chemistry , classical mechanics
A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.