Median of a random variable

Dependencies:

1. Random variable

Let $X$ be a real-valued random variable. $m$ is a median of $X$ iff $\Pr(X \le m) \ge 1/2$ and $\Pr(X \ge m) \ge 1/2$.

Dependency for:

1. Random variables: multiple medians
2. Minimizer of f(z) = E(|X-z|) is median

Info:

• Depth: 6
• Number of transitive dependencies: 12

Transitive dependencies:

1. /analysis/topological-space
2. /sets-and-relations/countable-set
3. /sets-and-relations/de-morgan-laws
4. σ-algebra
5. Generated σ-algebra
6. Borel algebra
7. Measurable function
8. Generators of the real Borel algebra (incomplete)
9. Measure
10. σ-algebra is closed under countable intersections
11. Probability
12. Random variable