Journal of Statistics Applications & Probability

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In this article, a three parameter generalization of Moyal distribution is obtained to provide a more flexible model relative to the behaviour of hazard rate functions. Various statistical properties such as density, hazard rate functions, quantile function, mode, moments, incomplete moments, moment generating functions, mean deviation, Lorenz, Bonferroni and Zenga curves, Renyi and continuous entropies and distribution of rth order statistics have been derived. Maximum likelihood estimation has been used to estimate the parameters of the generalized Moyal distribution. Further confidence intervals are also obtained. Finally applicability of the proposed model to the real data is analyzed. A comparison has also been made with some existing distributions.

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