Professor of Statistics at Stockholm University
Bernoulli distributionBeta distributionBeta distribution (generalized three-parameter)Beta distribution (generalized four-parameter)Binomial distributionCauchy distributionChi2-distributionCompound-Gamma distributionDirichlet DistributionExponential distributionF-distributionGeneralized extreme value distributionGeometric distributionGamma distributionGumbel distributionHypergeometric distributionInverse Gamma distributionInverse Gaussian (Wald) distributionKumaraswamy distributionLaplace distributionLogistic distributionLogitNormal distributionLogNormal distributionMixture of Normals distributionMixture of PoissonsMultivariate LogitNormal DistributionMultivariate normal distributionNegative binomial distributionNon-central Chi2-distributionNormal (Gaussian) distributionPareto distributionPoisson distributionPoisson-Gamma distributionPólya-Gamma distributionScaled inverse chi2 distributionSkellam distributionSkew-normal distributionSplit-Normal distributionSplit-t distributionStudent-t distribution (three-parameter)Triangular distributionTruncated Normal DistributionUniform distributionvon Mises distributionWeibull distributionZ-distributionZero-inflated Poisson distributionZipf distribution
Beta-Binomial distribution
betabinomPDF = function(x, n, alpha, beta){
return jstat.combination(n,x)*jstat.betafn(x+alpha, n - x + beta)/jstat.betafn(alpha, beta)
}
n = params[0]
alpha = params[1]
mean = n*alpha/(alpha + beta)
variance = n*alpha*beta*(alpha+beta+n)/((alpha+beta)**2*(alpha + beta + 1))
cdf = d3.sum(pdfdata.filter(d => d.x <= quantile).map(d => d.pdf))
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