Transmuted Kumaraswamy Exponentiated Inverse Rayleigh Distribution

Abstract

A new family of distributions known as Transmuted Kumaraswamy Exponentiated Inverse Rayleigh distribution TKEIR is suggested and studied. Also f has a shape of well-known sub-models like the Inverse Rayleigh distribution, Kumaraswamy Inverse Rayleigh, the Kumaraswamy Exponentiated Inverse Rayleigh distribution Transmuted Kumaraswamy Inverse Rayleigh distribution, the Exponentiated Inverse Rayleigh distribution and Transmuted Inverse Rayleigh distribution. Some statistical properties of the recent distribution comprise its moments; moment generating function, hazard functions, and order statistic are derived.  In general, maximum likelihood estimates of the model parameters are obtained. In practice comparisons of the TKEIR and its sub-models have been made. Results revealed that the new model is the best.

Key words: Rayleigh, sub-models, moments, maximum likelihood, Moment generating function, Hazard rate function