The exponentiated reduced Kies distribution: Properties and applications

ABSTRACT

Here we consider an exponentiated version of the reduced Kies distribution and discuss some of its properties. The parameters of the distribution are estimated by the method of maximum likelihood and illustrated with the help of certain real-life data sets. Asymptotic behavior of the maximum likelihood estimators of the parameters of the distribution is also studied by using certain simulated data sets.

KEYWORDS:

• Failure rate
• Fisher information matrix
• maximum likelihood estimation
• model selection
• percentile measures
• Weibull distribution.

MATHEMATICS SUBJECT CLASSIFICATION:

• 60E05
• 62E10
• 62E15
• 62F10

Acknowledgments

The authors would like to express their gratitude to the editor-in-chief and both the anonymous referees for their valuable comments on an earlier version of the paper which greatly improved the quality and presentation of the paper.