Category:Definitions/Marginal Probability Density Functions

This category contains definitions related to Marginal Probability Density Functions.
Related results can be found in Category:Marginal Probability Density Functions.

Consider a bivariate distribution $D$ of two continuous random variables $X$ and $Y$.

The marginal probability density function of $X$ is the probability density function of the marginal distribution of $X$ defined as

$\map {f_1} x = \ds \int_{-\infty}^\infty \map f {x, t} \rd t$

Similarly for $Y$, which is denoted $\map {f_2} y$