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A Two-Parameter Weighted Sujatha Distribution and Its Application

Rama Shanker, Kamlesh Kumar Shukla

Abstract


In this paper a two-parameter weighted Sujatha distribution which includes one parameter Sujatha distribution proposed by Shanker (2016 a) as a particular case has been suggested for modeling lifetime data. Some of its properties including shapes of probability density function, moments based measures including coefficients of variation, skweness, kurtosis, and index of dispersion; hazard rate function, mean residual life function and stochastic ordering have been studied. Method of maximum likelihood estimation has been discussed for estimating the parameters. The goodness of fit of the proposed distribution has been explained with a real lifetime data and the fit has been found to be quite satisfactory over well-known one parameter and two- parameter lifetime distributions.

Keywords


Sujatha distribution, Moments, Reliability Properties, Stochastic ordering, Maximum likelihood estimation, Application

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