In probability theory, a conditional expectation (also known as conditional expected value or conditional mean) is the expected value of a real random variable with respect to a conditional probability distribution.
The concept of conditional expectation is extremely important in Kolmogorov's measure-theoretic definition of probability theory. In fact, the concept of conditional probability itself is actually defined in terms of conditional expectation.
Read more about Conditional Expectation: Introduction, Formal Definition, Definition of Conditional Probability, Conditioning As Factorization, Conditioning Relative To A Subalgebra, Basic Properties
Famous quotes containing the words conditional and/or expectation:
“Computer mediation seems to bathe action in a more conditional light: perhaps it happened; perhaps it didn’t. Without the layered richness of direct sensory engagement, the symbolic medium seems thin, flat, and fragile.”
—Shoshana Zuboff (b. 1951)
“In the United States, though power corrupts, the expectation of power paralyzes.”
—John Kenneth Galbraith (b. 1908)