KnowraBernoulli distributionLinked fromLinked fromThe 13 pages that link to Bernoulli distribution, each with the reason it gives.All 13Broader topic 8Related 3Compared with 2Random variableBroader topic: A single success-or-failure trial is modeled by a Bernoulli random variable.Cumulative distribution functionBroader topic: Its CDF has a single jump whose size equals the probability of zero.Daniel BernoulliCompared with: It shares the Bernoulli name but is associated chiefly with Jacob Bernoulli’s probability work.Probability mass functionBroader topic: Its two point masses encode the outcomes of a single success-or-failure trial.Bernoulli trialRelated: It gives the probability model for the zero-or-one outcome of a Bernoulli trial.Sufficient statisticBroader topic: For independent Bernoulli observations, the number of successes is sufficient for the success probability.Beta distributionRelated: A beta prior on its success probability yields a beta posterior after observations.Poisson limit theoremBroader topic: Each binomial trial is Bernoulli, with its success probability shrinking in the limit.Rao–Blackwell theoremBroader topic: For Bernoulli samples, the success count is sufficient for the success probability.Bernoulli familyCompared with: Its name honors Jacob, but it is a specific probability model, not the Bernoulli numbers.Lehmann–Scheffé theoremRelated: A sample of Bernoulli trials yields the binomial statistic used to estimate success probability.Le Cam's theoremBroader topic: The theorem starts from independent variables with this two-outcome distribution.Popoviciu's inequalityBroader topic: Equal endpoint probabilities give the rescaled distribution attaining equality.