A two-parameter power Rama distribution with properties and applications

The statistical properties, estimation of parameter and application of Lindley distribution are discussed in Ghitany et al.,4 Shanker et al.,5 have detailed study on applications of Lindley distribution and exponential distribution to model real lifetime datasets from engineering and biomedical sciences. Since Rama distribution has only one parameter, it has less flexibility to model data of varying natures. In the present paper an attempt has been made to derive twoparameter power Rama distribution which includes one parameter Rama distribution as particular cases as power transformation of Rama distribution. The shapes of the density, moments, hazard rate function, and mean residual life function of the distribution have been discussed. The maximum likelihood estimation has been explained. The goodness of fit of the proposed distribution has been discussed with two real lifetime dataset and fit shows quite satisfactory fit over other one parameter and two-parameter lifetime distributions.