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:

Transitive dependencies:

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