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A Three-Parameter Power Sujatha Distribution with Properties and Application
Abstract
A three-parameter power Sujatha distribution has been proposed. Statistical properties including 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 parameters using the maximum likelihood method has been explained. The simulation study has been presented to know the performance of maximum likelihood estimates as the sample size increases. Finally, an example of real lifetime dataset has been presented to demonstrate the application and the goodness of fit of the proposed distribution. The proposed distribution shows a better fit over three-parameter power quasi-Lindley distribution, generalized gamma distribution, three-parameter Sujatha distribution, two-parameter Sujatha distribution, power Sujatha distribution and one parameter Sujatha distribution.
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ISSN(P) 2350-0174

ISSN(O) 2456-2378

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