A new family of quantile functions and its applications

Dileep Kumar Maladan and Paduthol Godan Sankaran

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 18, 4216-4235

Abstract: The present paper introduces a new method for constructing a flexible family of distributions defined by a quantile function. We derive a new class of distributions, which is an extension of the class of distributions with linear mean residual quantile function. Various distributional properties and reliability characteristics are discussed. The estimation of parameters using the method of percentiles is studied. The model is applied to a real-life data.

Date: 2021
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DOI: 10.1080/03610926.2020.1713368

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