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 7Gaussian functionCompared with: It is the normalized probabilistic use of the Gaussian function.Cauchy distributionCompared with: Unlike the normal distribution, the Cauchy has much heavier tails and no finite moments.Chebyshev's inequalityCompared with: For Gaussian variables, exact tail probabilities are much smaller than Chebyshev's general worst-case bound.Student's t-distributionCompared with: The t-distribution approaches this shape as its degrees of freedom increase.Black swan theoryCompared with: Models based on thin tails can badly understate the likelihood of extreme events.Pareto principleCompared with: Its thin tails generally produce less extreme concentration than Pareto-like distributions.Continuous uniform distributionCompared with: Unlike the flat uniform density, its probability concentrates near the mean.