Affiliation:
1. Department of Statistics and Data Science CHRIST (Deemed to be University) Bangalore India
2. Department of Mathematics University of Manchester Manchester UK
Abstract
AbstractThe paper describes a two parameter model and its relationship to the widely used Weibull model. Mathematical properties of the distribution like survival and hazard functions, moments, harmonic and geometric means, Shannon entropy and mean residual life are derived. Different methods of estimation are discussed and a simulation study is performed to verify the efficiency of estimation methods. Applications of our distribution in different scenarios observed in real life are illustrated.
Subject
Management Science and Operations Research,Safety, Risk, Reliability and Quality