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A software reliability model using mean residual quantile function
Authors:Bijamma Thomas  N.N. Midhu
Affiliation:1. Department of Mathematics, University College of Applied Sciences, Mahatma Gandhi University, Kottayam, India;2. Department of Statistics, Cochin University of Science and Technology, Cochin 22, India
Abstract:In this paper, we propose a class of distributions with the inverse linear mean residual quantile function. The distributional properties of the family of distributions are studied. We then discuss the reliability characteristics of the family of distributions. Some characterizations of the class of distributions are also discussed. The parameters of the class of distributions are estimated using the method of L-moments. The proposed class of distributions is applied to a real data set.
Keywords:quantile function  quantile density function  hazard quantile function  inverse linear mean residual quantile function  software reliability  L-moments
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