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Weighted Ishita Distribution and its Application to Survival data

Kamlesh Kumar Shukla, Rama Shanker

Abstract



A weighted Ishita distribution, of which one parameter Ishita distribution proposed by Shanker and Shukla (2017 a) is a special case, has been suggested for modeling lifetime data. Structural properties including moments and moment related measures, hazard rate function, mean residual life function and stochastic orderings have been discussed. Maximum likelihood estimation has been discussed for estimating the parameters. The goodness of fit of the distribution has been discussed with a real lifetime dataset and the fit has been found satisfactory over one parameter exponential and Lindley distributions and two-parameter weighted Shanker and Weighted Lindley distributions.

Keywords


Ishita distribution, Moments, Hazard rate function, Means residual life function, Stochastic ordering, Maximum likelihood estimation, Goodness of fit

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