A new class of quantile functions useful in reliability analysis

ABSTRACT

This article introduces a new flexible family of distributions, defined by means of a quantile function. The quantile function proposed is the sum of quantile functions of the half logistic and exponential geometric distributions. Various distributional properties and reliability characteristics are discussed. The estimation of the parameters of the model using L-moments is studied. The model is applied to a real-life data set.

KEYWORDS:

• Exponential geometric distribution
• half logistic distribution
• hazard quantile function
• L-moments quantile density function
• quantile function

AMS SUBJECT CLASSIFICATION:

• 62N05
• 62E10
• 62E17

Acknowledgments

We thank the referee and the editor for their constructive comments.

Additional information

Funding

The second author is thankful to Kerala State Council for Science Technology and Environment (KSCSTE) for financial support.