Power quasi Sujatha distribution with properties and applications to real lifetime data
Power quasi Sujatha distribution with properties and applications to real lifetime data

Summary/Abstract: This study presents a three-parameter power quasi Sujatha distribution. Statistical properties including the survival function, hazard function, reverse hazard function, mean residual life function and stochastic ordering have been discussed. Moments of the proposed distribution have been obtained. The estimation of the parameters using the maximum likelihood method and maximum product spacing estimation has been explained and a simulation study has been presented to determine the efficiency of the maximum likelihood estimate of the parameters. The bootstrap confidence interval method has been used to estimate the confidence interval of the parameters. Finally, two examples of real lifetime datasets have been presented to demonstrate the applications of the proposed distribution. Also, the goodness of fit test shows a better fit compared to the three-parameter power Sujatha distribution, power quasi Lindley distribution, generalized gamma distribution, three-parameter Sujatha distribution and threeparameter generalized Lindley distribution.

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