Exponential Distribution (Exp₍β₎=₍1∕β₎⋅exp₍-x∕β₎) ○￩｜Definition｜1st｜20260608161029-00-⌔

Exponential distribution - Wikipedia#Alternative_parametrization

Alternative parametrization

The exponential distribution is sometimes parametrized in terms of the scale parameter β = 1/λ, which is also the mean:

$f(x;\beta )=\{\begin{array}{ll}\frac{1}{\beta }{e}^{-x/\beta }& x\ge 0,\\ 0& x<0.\end{array}F(x;\beta )=\{\begin{array}{ll}1-e^{-x/\beta }& x\ge 0,\\ 0& x<0.\end{array}$

Printed 2026-06-28.

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