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Adya distribution with properties and application


Biometrics & Biostatistics International Journal
Rama Shanker,1 Kamlesh Kumar Shukla,2 Amaresh Ranjan,3 Ravi Shanker4

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Abstract

In the present paper, a new one parameter lifetime distribution named, “Adya distribution’ has been proposed for modeling lifetime data from engineering. Its various statistical properties moments and moments based measures, hazard rate function, mean residual life function, stochastic ordering, deviations from the mean and the median, Bonferroni and Lorenz curves, and stress-strength reliability have been studied. Both the method of moment and the maximum likelihood estimation have been discussed for estimating the parameter of the proposed distribution. A numerical example has been presented to test the goodness of fit of the proposed distribution over other one parameter lifetime distributions available in statistical literature.

Keywords

lifetime distributions, statistical and mathematical properties, parameter estimation, goodness of fit

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