A D993: Real number $x \in \mathbb{R}$ is a percentile for $X$ with respect to $p \in [0, 1]$ if and only if
(1) | \begin{equation} \mathbb{P}(X \leq x) \geq p \end{equation} |
(2) | \begin{equation} \mathbb{P}(X \geq x) \geq 1 - p \end{equation} |
(1) | \begin{equation} \mathbb{P}(X \leq x) \geq p \end{equation} |
(2) | \begin{equation} \mathbb{P}(X \geq x) \geq 1 - p \end{equation} |
▶ | D2899: Random real number median |