RecordNumber
3944
Author
Bhatti, FiazAhmad
Crop_Body
FiazAhmadBhatti, Sedigheh Mirzaei Salehabadi, and Gholamhossein G. Hamedani
Title of Article
On Burr III-InverseWeibull Distribution with COVID-19 Applications
Title Of Journal
خبرنامه انجمن آمار ايران
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2021
Volum
20
Issue Number
1
Page
101-121
Keywords
Moment , Reliability , Characterizations , Maximum Likelihood Estimation
Abstract
We introduce a flexible lifetime distribution called Burr III-Inverse Weibull
(BIII-IW). The new proposed distribution has well-known sub-models. The BIII-IW
density function includes exponential, left-skewed, right-skewed and symmetrical
shapes. The BIII-IW model’s failure rate can be monotone and non-monotone depending
on the parameter values. To show the importance of the BIII-IW distribution, we
establish various mathematical properties such as random number generator, ordinary
moments, conditional moments, residual life functions, reliability measures and characterizations.
We address the maximum likelihood estimates (MLE) for the BIII-IW
parameters and estimate the precision of the maximum likelihood estimators via a
simulation study. We consider applications to two COVID-19 data sets to illustrate the
potential of the BIII-IW model.