Revision #786 → #1206 · back to history
addedExpected value (informal)52422b5fb278
addedExpected value of a random vector/matrixc1ff852eadd2
addedExpectation for finitely many outcomes1ae7c93a39e0
addedFair six-sided die48f831265653
addedRoulette $1 straight-up betc7c234fb4d84
addedExpectation for countably infinite outcomes149805df1128
addedLogarithmic-series distribution expectationaa6c89e05c4b
addedExpectation via probability density function255dae7266d6
addedExpectation via Lebesgue integral6e80d0218201
addedAbsolutely continuous random variable0fc7cac7bc3f
addedExpectation via CDF area equality34f2d90dc0e4
addedDaily precipitation modelba44fe7eeca4
addedInfinite expected values (positive/negative parts)39dd4ed73c11
addedSt. Petersburg paradox expectation6be1177f811a
addedTail-sum formula19ac8192e395
addedNon-negativity of expectation8618e5ed1294
addedLinearity of expectationa8c93af1cf8e
addedMonotonicity of expectation9fae639401d2
addedNon-degeneracy of expectatione2ec5a1b1f52
addedAlmost-sure equality preserves expectation1be7dbd90b8a
addedExpectation of an almost-sure constantacfe2b01767c
addedAbsolute value bound on expectation2c5d1cdfface
addedExpectation of indicator equals probability0b5521395898
addedExpectation formulas in terms of CDF80af5c9c637f
addedNon-multiplicativity and independence7838b5135392
addedLaw of the unconscious statisticiandba301a0589a
addedMarkov's inequality2b1376174377
addedChebyshev's inequalityad3b61c61546
addedKolmogorov inequality4364482ec731
addedJensen's inequalitya3395a82bb77
addedLyapunov inequality5558ef611a42
addedHölder's inequalityc405385baad1
addedCauchy–Schwarz inequalityaf7eac2f22ec
addedMinkowski inequalitye75ab3a329ac
addedMonotone convergence theorema1118d240416
addedFatou's lemma90653c376ee9
addedDominated convergence theorem60f53a7bb8f1
addedUniform integrability and convergence of expectationsbc3c99bc4e8e
addedDensity via characteristic function inversiondf26b5355ca8
addedExpectation via characteristic function (Plancherel)5109981f6aea