ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Function
Measure
Real measure
Euclidean real measure
Complex measure
Basic measure
Unsigned basic measure
Unsigned basic integral measure
Radon-Nikodym derivative
Probability density function
Definition D2865
Exponential density function
Formulation 0
The exponential density function with parameter $\theta > 0$ is the D4367: Unsigned real function \begin{equation} \mathbb{R} \to [0, \infty), \quad x \mapsto \theta e^{- \theta x} I_{x \geq 0} \end{equation}