Revision #496 → #1042 · back to history
addedBinomial distribution5a6d1c9cfb99
addedBernoulli trial44d86b53fb89
addedBernoulli process4eff2d7cb1e5
addedn=1 is Bernoulli distribution850b20b59b27
addedSampling without replacement gives hypergeometric10eab96a1f30
addedProbability mass functiond6e2dceb206b
addedComplement formula for k > n/2ba26885104e8
addedExistence of maximizing integer M354b4262a9a6
addedMonotonicity and mode of PMF620bd29a58d2
addedBiased coin: 4 heads in 6 tossesebb5499ca2ac
addedCumulative distribution function952125b4ac8f
addedCDF via regularized incomplete beta function020954223c13
addedExpected valuee7404f1e8c45
addedVariancee2f53a17cf23
addedFirst six central momentsd8c9d4992c31
addedNon-central momentsd8e7715f303a
addedMoment-generating function1137b9328721
addedMode formula646af876bb16
addedMean, median, mode coincide when np integer8d131b035bba
addedMedian interval bound475ef777e014
addedMedian close to mean683b2012117a
addedMedian unique equals round(np)5dd186de1691
addedMedian unique when p rationalc6b63bb17da0
addedMedian for p=1/2, n odd71a0e34c3e10
addedHoeffding tail bound3c0282ebbec4
addedChernoff tail bound002734fa7262
addedAnti-concentration lower bound32b73fff45d6
addedConstant-denominator bound for p=1/29ee1725b8abd
addedEstimator of p by proportion of successesdabf6211bdfa
addedBayes estimator with Beta prior136070e0302f
addedRule of successionad7dc84de35c
addedJeffreys prior estimator54f74f6cc286
addedEstimating p for rare events1f3c0c464574
addedWald confidence intervald34840633021
addedAgresti–Coull interval689ca540c0d5
addedWilson (score) intervalcd452ad2c358
addedClopper–Pearson most conservativede5f3b73ce27
addedWald method most biased5271e72eb12c
addedSum of independent binomials532ac40733fb
addedBinomial as special Poisson binomial0606a73ed7af
addedLog-ratio of two binomialsef339d57d6e5
addedConditional binomial6780c5c97d06
addedBernoulli as special binomial2f232741e8ab
addedNormal approximation to binomial355935f573e5
addedSkewness rule of thumb572b88b195a3
added3-standard-deviation ruleddf967675ead
addednp and n(1-p) rule of thumb85a1010bcef1
addedContinuity correction example25b7bfc37b70
addedde Moivre–Laplace theorem03d9926f1676
addedPoisson approximation3724e5667b75
addedPoisson limit theorembe86b813306a
addedde Moivre–Laplace (limiting form)733a6d2b3315
addedBeta–binomial relation299ddce8bcf6
addedPosterior is beta under uniform priorc53c467d5d23
addedInversion algorithm for random generatione3f9c1a84fbc