Abstract
This paper proposes a two–parameter Sujatha distribution (TPSD). This includes size– biased Lindley distribution and Sujatha distribution as particular cases. Its important statistical properties including shapes of density function for varying values of parameters, coefficient of variation, skewness, kurtosis, index of dispersion, hazard rate function, mean residual life function, stochastic ordering ,mean deviations, Bonferroni and Lorenz curves, and stress–strength reliability have been discussed. The estimation of parameters has been discussed using the method of moments and the method of maximum likelihood. Application of the distribution has been discussed with a real lifetime data.
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