ThmDex – An index of mathematical definitions, results, and conjectures.
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Definition D1719
Expectation
Also known as
Expected value, Centre of probability mass
Results
▶ R4132: Strict version of probabilistic Markov inequality
▶ R3581: Absolute moment inherits finiteness from greater exponents for random complex number
▶ R5046: Absolute moment inherits finiteness from greater exponents for random real number
▶ R5304: Complex-linearity of real expectation
▶ R5285: Expectation of a gaussian random real number
▶ R2313: Expectation with dual probability distribution function
▶ R1818: Isotonicity of real expectation
▶ R1369: Jensen's inequality for expectation
▶ R4131: Markov lower bound on unsigned basic expectation
▶ R4741: Probabilistic Chebyshov's inequality for square function
▶ R4141: Probabilistic Chernoff inequality
▶ R2016: Probabilistic Markov's inequality
▶ R5303: Real-linearity of complex expectation
▶ R2100: Triangle inequality for signed basic expectation