Cubic Rank Transmuted Modified Burr III Distribution: Development, Properties, Characterizations and Applications

We propose a lifetime distribution with flexible hazard rate called cubic rank transmuted modified Burr III (CRTMBIII) distribution. develop the proposed on basis of ranking transmutation map. The density function CRTMBIII is symmetrical, right-skewed, left-skewed, exponential, arc, J and bimodal shaped. model can accommodate almost all types shapes such as unimodal, bimodal, increasing, decreasing, decreasing-increasing-decreasing, inverted bathtub bathtub. To show importance model, we present mathematical properties moments, incomplete inequality measures, residual life stress strength reliability measure. characterize via techniques. address maximum likelihood method for parameters. evaluate performance estimates (MLEs) simulation study. establish empirically that suitable strengths glass fibers. apply goodness fit statistics graphical tools to examine potentiality utility