• On p-k Gamma Distribution

M. R. MAHMOUD, R. M. MANDOUH*

Abstract


Using p-k gamma function introduced by Gehlot (2017), a p-k gamma distribution with four parameters is constructed as a generalization of the p-k-gamma distribution with three parameters, the k-gamma distribution (Rahman et al., 2014) and the gamma distribution. Some properties of the new distribution are studied. Also, the estimation of the parameters is discussed using the method of maximum likelihood. The asymptotic variance-covariance matrix is obtained. Finally, a numerical study is provided.


Keywords


The p-k Gamma function; the k Gamma function; the p-k Gamma distribution; the k Gamma distribution; maximum likelihood estimates; asymptotic variance-covariance matrix.

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