# Exponential Probability Function

(Redirected from exponential distribution)

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An Exponential Probability Function is an exponential function that is a probability density function from an exponential probability distribution family.

**AKA:**Negative Exponential Probability Function.**Context:**- It can range from being a Univariate Exponential Probability Function to being a Multivariate Exponential Probability Function (such as a bivarate exponential distribution).
- It can be expressed as [math]\displaystyle{ f(s) = (1/\lambda)e^{-s/\lambda} }[/math], where [math]\displaystyle{ \lambda }[/math] is a constant

**Example(s):**- If
*λ*=3000, [math]\displaystyle{ f }[/math](*s*) = (1/3000)*e*^{-s/3000} - a Logistic Sigmoid Curve Function.
- a Gaussian Probability Function.
- …

- If
**Counter-Example(s):****See:**Lifetime Random Experiment, Generalized Linear Model.

## References

### 2006

- (Cox, 2006) ⇒ David R. Cox. (2006). “Principles of Statistical Inference." Cambridge University Press. ISBN:9780521685672