Definition:Median of Continuous Random Variable/Warning
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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. |