Extreme Value (Gumbel Distribution)

This distribution is used when the intended expression of the maxi­mum value of the event occurs in a period of time. Therefore, it is

used for floods, earthquakes, or rain and is used to calculate the loads on the plane and study the fracture resistance of some materials.

fz(z) = aexp[a(z-u)-ea{z u)],

(3.31)

Fz (z) = 1 – exp(-e“<2~">),

(3.32)

-00 £ Z <: 00.

Y

m =u~—. a

(3.33)

■Я

и

a

*

0^1

(3.34)