Joint time scales probability density function
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Let $\mathbb{T}$ be a time scale. Let $X$ and $Y$ be random variables. We say that $f_{X,Y}(x,y)$ is a joint time scales probability density function if
- $f_{X,Y}(x,y) \geq 0$ for all $x,y \in \mathbb{T}$
- $\displaystyle\int_0^{\infty} \int_0^{\infty} f_{X,Y}(x,y) \Delta y \Delta x=1$.
