Exponentiated exponential distribution

The exponentiated exponential distribution, a most attractive generalization of the exponential distribution, introduced by Gupta and Kundu (Aust. N. Z. J. Stat. 41:173–188, 1999) has received widespread attention. A random variable X is said to have the exponentiated exponential distribution if its probability density function (pdf) and cumulative distribution function (cdf) are given by f(x,α,λ)= αλ exp(-λx)[1-exp(-λx)]^(α-1) and F(x,α,λ)= [1-exp(-λx)]^(α).