On Log-Inverse Weibull Distribution and Its Properties

SYNOPTIC ABSTRACT

In this article, we consider a wide class of life time distributions; namely, the log-inverse Weibull distribution and investigate some of its important theoretical properties. We obtain a location-scale extension of the distribution and discuss the estimation of its parameters by method of maximum likelihood. We have fitted the proposed models to certain real life data sets for illustrating their usefullness, and have conducted a brief simulation study for examining the performance of the maximum likelihood estimators of the parameters of the distribution.

KEY WORDS AND PHRASES:

• Maximum likelihood estimation
• model selection
• moments
• order statistics
• percentile measures
• simulation

Acknowledgements

The authors would like to express their sincere thanks to the Editor-in-Chief, the Associate Editor, and the anonymous referees for their valuable comments on an earlier version of the article, which greatly improved the quality and presentation here.

Funding

The second author acknowledges the University Grants Commission, Government of India, for providing partial financial support through the Faculty Development Programme.