Open AccessModified Extended Inverted Weibull Distribution with Application to Neck Cancer Data
Author(s) -
Ogunde Adebisi Ade,
Oseghale Osezuwa Innocent,
Fatoki Olayode,
Laoye Victoria Eshomomoh
Publication year - 2022
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v14n2p39
Subject(s) - weibull distribution , mathematics , exponentiated weibull distribution , statistics , moment generating function , residual , generating function , entropy (arrow of time) , statistical physics , probability density function , mathematical analysis , algorithm , thermodynamics , physics
This work introduces a new three-parameter modified extended inverted Weibull (MEIW) distribution which is a hybrid of the one-parameter inverted Weibull distribution. The density function of the MEIW can be expressed as a linear combination of the inverted Weibull densities. Some mathematical properties of the proposed MEIW model such as ordinary and incomplete moments, mean residual life, and mean waiting time, Tsallis entropy, moment generating function and order statistics are investigated. The maximum likelihood estimation method is considered to estimate the parameters of the MEIW model. The relevance of the MEIW model is studied via an application to neck cancer data.