Journal of Statistics Applications & Probability

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In this paper, a four parameter generalization of Moyal distribution is obtained, with the purpose of obtaining a more flexible model relative to the behaviour of hazard rate functions. Various statistical properties of this distribution including the density, hazard rate functions, quantile function, mode, moments, incomplete moments, moment generating functions, mean deviation, Lorenz, Bonferroni and Zenga curves, Re ́nyi and continuous entropies and distribution of rth order statistics have been derived. The method of maximum likelihood estimation has been used to estimate the parameters of the generalized Moyal distribution and the observed information matrix is derived. Two real data sets are presented to demonstrate the effectiveness of the new model.

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