KnowraNormal distributionLinked fromLinked fromThe 40 pages that link to Normal distribution, each with the reason it gives.All 40Broader topic 9Related 21Narrower topic 3Compared with 7Random variableBroader topic: It models many continuous measurements and appears in limit approximations.Probability distributionBroader topic: It models many measurement patterns and appears as a limit for sums of independent variables.Probability density functionBroader topic: Its familiar bell curve is a canonical probability density.Central limit theoremBroader topic: This is the limiting distribution produced by the theorem under its standard conditions.Cumulative distribution functionBroader topic: Its CDF is the familiar smooth S-shaped curve, with no elementary closed form.Moment-generating functionBroader topic: Its moment-generating function encodes its mean and variance in a compact formula.Sufficient statisticBroader topic: For normal samples with known variance, the sample mean is sufficient for the unknown mean.Gaussian integralBroader topic: Its density's normalization constant follows directly from the Gaussian integral.Erdős–Kac theoremBroader topic: It is the specific limiting law after centering and scaling prime-factor counts.