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Power Transformation of Gamma-Rayleigh Distribution with Applications to Engineering Data

A A Bhat, S P Ahmad


In this research paper, we have proposed a newthree parameter power Gamma-Rayleigh distribution, that is, a generalization of two parameter Gamma-Rayleigh distribution. Various mathematical properties of the proposed model such as moments, mean residual life, entropy and order statistics are acquired. The effect of the new parameter on the shape behavior of the density function has been discussed. The unknown parameters of the model have been estimated by employing the technique of maximum likelihood estimation. Finally, the practical importance of the model has been demonstrated by means of three real life data sets.

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