A New Discrete Raleigh Distribution and its Application in Immunogold Assay Data

Abstract

Recently, discretization of continuous distribution was enchanted by many researchers especially in the field of reliability engineering and life testing. This is because the existing models are unsuited for many practical situations. For discretizing continuous distributions, various methods are available in literature. Among them a newly developed method is the two-stage composite discretization method which includes three different methodologies. Using these methodologies, we propose some new discretized distributions obtained through the discretization of Rayleigh distribution. We compare the hazard rate functions of Rayleigh, Discrete Rayleigh with the newly proposed discrete distributions. The flexibility of the model is illustrated using immunogold assay data.