$f(x|a,b)=\; a\; b\; e^\{-(b\; e^\{-ax\}\; +\; ax)\},$

for

The distribution is mainly used in the analysis of extreme values and in survival analysis (also known as duration analysis or event-history modelling).

See also

• Type-2 Gumbel distribution
• Extreme value theory
• Gumbel distribution

References