Bernoulli random variable

Dependencies:

  1. Random variable

Let $X$ be a random variable whose support $S$ has just 2 items. Then $X$ is called a Bernoulli random variable.

When $S = \{0, 1\}$, $X$ is called a 0-1 Bernoulli random variable. Usually when we say 'Bernoulli random variable', we mean 0-1 Bernoulli random variable.

Dependency for:

  1. Chernoff bound

Info:

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