Sujatha distribution and its applications

Rama Shanker

doi:https://doi.org/10.59170/stattrans-2016-023

Sujatha distribution and its applications

Rama Shanker Department of Statistics, Eritrea Institute of Technology, Asmara, Eritrea Statistics in Transition new series, vol. 17, 2016, 3, pages: 391-410 Published online: 1 September 2016 https://doi.org/10.59170/stattrans-2016-023

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ABSTRACT

In this paper a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data has been suggested. Its first four moments about origin and moments about mean have been obtained and expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. Various mathematical and statistical properties of the proposed distribution including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability have been discussed. Estimation of its parameter has been discussed using the method of maximum likelihood and the method of moments. The applications and goodness of fit of the distribution have been discussed with three real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions.

KEYWORDS

lifetime distributions, Akash distribution, Shanker distribution, Lindley distribution, mathematical and statistical properties, estimation of parameter, goodness of fit

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