Length Biased Extended Rayleigh Distribution and its Applications

Abstract

The generalization of the Rayleigh distribution has been introduced by several authors in recent years. In this article, generalization of Rayleigh distribution has been derived by length- biased transformer technique named length biased Rayleigh- Rayleigh distribution. (LB-RRD). The statistical properties of LB-RRD have been formulated. Estimation of parameter is carried out by method of maximum likelihood. Three data sets are taken to show the superiority of LB-RRD with other competing distributions.