On Burr III-Inverse Weibull Distribution with COVID-19 Applications

Authors

Fiaz Ahmad Bhatti, National College of Business Administration and Economics
Sedigheh Mirzaei Salehabadi, St. Jude Childrens' Research Hospital
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Publication Date

6-2021

Publisher

Iranian Statistical Society

Source Publication

Journal of the Iranian Statistical Society: JIRSS

Source ISSN

2538-189x

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.

Comments

Published version. Journal of the Iranian Statistical Society: JIRSS, Vol. 20, No. 1 (June 2021): 101-121. Publisher link. © 2021 Iranian Statistical Society.

Recommended Citation

Bhatti, Fiaz Ahmad; Salehabadi, Sedigheh Mirzaei; and Hamedani, Gholamhossein G., "On Burr III-Inverse Weibull Distribution with COVID-19 Applications" (2021). Mathematical and Statistical Science Faculty Research and Publications. 135.
https://epublications.marquette.edu/math_fac/135