 Shifted Gompertz distribution

\left[1 + \eta\left(1 - e^{-bx}\right)\right]|
where formula_3 and 
formula_4|
where formula_3 and formula_10|
The shifted Gompertz distribution is the distribution of the larger of two independent random variables one of which has an exponential distribution with parameter formula_11 and the other has a Gumbel distribution with parameters formula_12 and formula_11.In its original formulation the distribution was expressed referring to the Gompertz distribution instead of the Gumbel distribution but, since the Gompertz distribution is a reverted Gumbel distribution, the labelling can be considered as accurate.