Three Parameter Transmuted Exponential Distribution

Many distribution functions, can be explored in numerous dimensions with their extended form. In this paper an extended form of exponential distribution is studied by the quadratic rank transmutation map, called three parameter transmuted exponential distribution, where the base distribution is exponential distribution with two parameters
θ
> 0 and
β
> 0 , shape and location parameters respectively. Some statistical properties have been studied for the said distribution including moments, quantile function, moment generating function, reliability analysis, mills ratio, reverse hazard rate function, order statistics, Bonferroni and Lorenz curves and indices, mean deviation about mean and median, estimation of parameter. The applicability have been explored by comparing value of -2ℓ, AIC and BIC using real data set.