Power Akash Distribution and Its Application

Keywords

Akash distribution, Hazard rate function, Moments, Stochastic ordering, Maximum likelihood estimation, Goodness of fit

Abstract

A two-parameter power Akash distribution (PAD), which includes Akash distribution introduced by Shanker (2015) as a particular case, has been proposed and its important statistical properties including shapes of the density, hazard rate function, moments, skewness and kurtosis measures, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. Finally, the goodness of fit PAD has been discussed with a real lifetime data set from engineering and the fit has been found better as compared with two-parameter power Lindley distribution (PLD) and one parameter Akash, Lindley and exponential distributions.

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