Regular conditional probability: Difference between revisions

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:<math>\kappa_{Y\mid X}(x, A) = \begin{cases}
\frac{\int_A f_{X,Y}(x, y) \, \mathrm{d}y}{\int_\mathbb{R} f_{X,Y}(x, y) \mathrm{d}y} &
\text{ if } \int_\mathbb{R} f_{X,Y}(x, y) \, \mathrm{d}y > 0 \\[3pt]
\text{arbitrary value} & \text{ otherwise}.
\end{cases}</math>