ON THE MODIFIED SINGH-MADDALA DISTRIBUTION: DEVELOPMENT, PROPERTIES, CHARACTERIZATIONS AND APPLICATION

In this paper, a flexible Burr XII distribution with one additional shape parameter and one scale parameter called the MSM distribution is derived from the generalized differential equation (GDE).Basic structural properties are studied. Moments, mean deviations, conditional moments, incomplete moments, inequality curves, L-moments, and TL- moments, reliability and uncertainty measures are theoretically presented. We characterize the MSM distribution via various techniques. We adopt maximum likelihood estimation technique for model parameters. We assess the behavior of the maximum likelihood estimates (MLEs) through a simulation study. We illustrate the significance and tractability of the MSM distribution by its application of serum-reversal times.