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