A generalization of the generalized inverse Weibull distribution so-called transmuted
generalized inverse Weibull dis-tribution is proposed and studied. We will use the quadratic
rank transmutation map (QRTM) in order to generate a flexible family of probability
distributions taking generalized inverse Weibull distribution as the base value distribution by
introducing a new parameter that would offer more distributional flexibility. Various structural
properties including explicit expressions for the mo-ments, quantiles, and moment …

A five parameter generalization of the generalized Inverse Weibull distribution, called the
transmuted generalized Inverse Weibull distribution is introduced in this article. The new
transmuted generalized Inverse Weibull distribution developed using the quadratic rank
transmutation map studied by Shaw et al.[19]. It includes as special sub-models, the
transmuted generalized Inverse exponential, transmuted generalized Inverse Rayleigh and
transmuted Inverse Weibull distributions. A comprehensive account of the mathematical …