ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Simple map
▼ Simple function
▼ Measurable simple complex function
▼ Simple integral
▼ Unsigned basic integral
▼ Unsigned basic expectation
▼ Basic expectation
▼ Random real number moment
Definition D1719
Expectation
Results
▶ Absolute moment inherits finiteness from greater exponents for random real number
▶ Complex-linearity of real expectation
▶ Expectation of a gaussian random real number
▶ Expectation with dual probability distribution function
▶ Isotonicity of real expectation
▶ Jensen's inequality for expectation
▶ Markov lower bound on unsigned basic expectation
▶ Probabilistic Chebyshov's inequality for square function
▶ Probabilistic Chernoff inequality
▶ Probabilistic Markov's inequality
▶ Real-linearity of complex expectation
▶ Strict version of probabilistic Markov inequality
▶ Triangle inequality for signed basic expectation