Applications to Biomedical Data by Using Volume Biased Rayleigh Model

Abstract

In this manuscript, we discuss a new weighted distribution, which called the volume–biased Rayleigh (VB-R) distribution. The VB-R model is more flexible than some well known models and it has many applications in physics and medicine. The statistical properties of the VB-R distribution as; moments, mean, variance, moment generating function, incomplete moments, inequality measures, order statistics and Rényi an q entropies are calculated. The maximum likelihood (ML) estimators for the unknown parameter of the volume-biased Rayleigh distribution, based on complete samples. Finally, applications on real data-sets are provided to determine whether the VB-R distribution is better than other well-known distributions in modeling lifetime data or not.