Definition:Median of Continuous Random Variable/Warning

Median of Continuous Random Variable: Warning

This page or section has statements made on it that ought to be extracted and proved in a Theorem page. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by creating any appropriate Theorem pages that may be needed. To discuss this page in more detail, feel free to use the talk page.

Care should be directed towards the uniqueness of medians.

For example, if $\map {f_X} x = 0$ on some closed real interval $\closedint a b$ of $x$, we may have $\ds \int_{-\infty}^{m_X} \map {f_X} x \rd x = \frac 1 2$ for all $m_X \in \closedint a b$.

This article is complete as far as it goes, but it could do with expansion. In particular: Precise conditions for uniqueness and proof You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Expand}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.