A Class of Distributions with Quadratic Hazard Quantile Function

The present paper introduces a class of distributions with quadratic hazard quantile function. We study various distributional properties and reliability characteristics of the proposed model. The proposed class of distributions aims to represent the non-monotone behaviours of hazard quantile function. Characterizations of the model are presented and method of least square is employed to estimate parameters of the class of distributions. Finally, we illustrate the usefulness of the proposed model through real data sets.