Exponentiated Exponential Distribution as a Failure Time Distribution

Two machines failure time data and two simulated examples have been studied through their reliability function and failure rate using the exponentiated exponential distribution. It could be considered as a well positively skewed distribution, since it has increasing, decreasing, and constant rate function depending on the shape parameter only, and it has an explicit expression of the distribution and reliability functions.
Keywords: Failure time distribution, Exponentiated exponential distribution, rate function, reliability function.