Three Parameter Transmuted Exponential Distribution

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