Exponential Distribution (Exp₍λ₎=λ⋅exp₍-λx₎) ○￩ Entries

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Exponential Distribution (Exp₍λ₎=λ⋅exp₍-λx₎) ○￩｜Definition｜1st｜20260608161029-00-⌔

Exponential distribution - Wikipedia#Probability_density_function

Probability density function

The probability density function (pdf) of an exponential distribution is

• ✤ $f(x;\lambda )=\{\begin{array}{ll}\lambda e^{-\lambda x}& x\ge 0,\\ 0& x<0.\end{array}$

Here λ > 0 is the parameter of the distribution, often called the rate parameter. The distribution is supported on the interval [0, ∞). If a random variable X has this distribution, we write X ~ Exp(λ).

The exponential distribution exhibits infinite divisibility.

Printed 2026-06-28.

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