Revision #68 → #1076 · back to history
addedTightness of Chebyshev's inequality95829c221d73
addedChebyshev's inequality (probabilistic statement)2f6a8a437584
addedGeneral-k formf4fb3ebc24c2
addedTwo-standard-deviation coverage3d93ec559462
addedMeasure-theoretic Chebyshev inequality6f27e1bf83a1
addedGeneralization via nondecreasing function0bfe7f44bc16
addedJournal article word counte78b833c63d3
addedDistribution achieving sharp boundec112cbfc95f
addedEquality characterization41ee9cbdf920
addedMarkov's inequalityd610a5ae3853
addedSelberg's inequality609213ece794
addedBirnbaum–Raymond–Zuckerman inequality260966466165
addedChen's inequalitydad9f8f5840a
addedNavarro sharpness of multivariate bounds494e952f54aa
addedIndependent-variables sharpening5a3fa5ea918c
addedBerge's inequality97e786a119ca
addedOlkin–Pratt inequality06c370f3584d
addedHigher-moment tail bounds1f64be1ace1b
addedExponential Chebyshev's inequality58ff73a1c06f
addedChernoff-type exponential bound3e2f09000582
addedBounded-variable inequalitybbcd2690884b
addedSaw–Yang–Mo (Kabán) sample inequality1a939ed25073
addedSample-mean form89c52261c204
addedLarge-N approximation36cb0d930edc
addedBeasley et al. modification04bff0b489ba
addedFinite-sample vs distribution bound55fa4a9269da
addedSamuelson's inequalityf82d84921500
addedUpper and lower semivariancesaea261e87588
addedVariance as sum of semivariances5373dc409261
addedChebyshev with lower semivariancedd25b1ffea4e
addedSymmetric-distribution semivariance bound780d4649fbd8
addedEmpirical multivariate Chebyshev (Stellato et al.)3dd7ed167204
addedCantelli's inequality100fcd91003d
addedOne-tailed Chebyshev variant2d82eaeea2e5
addedSharpness of one-tailed bound225295e2b1c1
addedMean–median distance bound66a314000a2c
addedBhattacharyya's inequalitye3f960f3b05f
addedGauss's inequality38f0164f0145
addedVysochanskij–Petunin inequality52faca456ca9
addedSymmetric one-sided VP boundse80206040348
addedVP three-sigma bound7df7aac856eb
addedDasGupta normal-distribution boundb5b6f896d4b8
addedDasGupta 95% coverage for normalbec741284894
addedGrechuk log-concave bound37a3fbecdc6d
addedPaley–Zygmund inequalitya8fc3a710680
addedHaldane's transformation4ff02beed498
addedHe, Zhang and Zhang's inequalitycd4d53b1efcb
addedIntegral Chebyshev inequality45e9f4056df8
addedOpposite-monotonicity reversal9ac43f4cc2bb
addedLemma (monotonic functions)8f2e4314bdbd