Revision #558 → #1251 · back to history
addedGamma distribution7cefe707b091
addedSpecial cases of gamma8930b61cd4f6
addedMaximum entropy characterization1e18568b7e79
addedErlang as sum of exponentialsb9ff340de01e
addedShape-rate parameterization47416809fdc0
addedPDF (shape-rate)a84845cd374a
addedCDF as regularized gamma (rate)b39daa95d836
addedErlang CDF series expansion77f30e6b6a4f
addedShape-scale parameterizationd4bee1538551
addedPDF (shape-scale)257192525389
addedCDF as regularized gamma (scale)684c33c457ef
addedErlang CDF (scale form)023890d72158
addedMean of gammaacd13eb744ad
addedVariance of gamma6bbdebc41dbb
addedCoefficient of variation5bb9b648af7c
addedSkewness of gamma528028730c07
addedRaw moments502f75a7d6c7
addedCumulants of gamma6f29055fe9f2
addedMedian (implicit)e63ebc5306ad
addedChen–Rubin median boundsdbed59be3221
addedChoi Laurent series for median12ad3f5b4a88
addedBerg–Pedersen median propertiesdbe0cfd66355
addedGaunt–Merkle linear upper bound5272950fdd0d
addedWilson–Hilferty median approximation3648e0e392a6
addedLyon closed-form median bounds10b13187655d
addedLyon non-closed-form bounds2e627a60f3fc
addedInterpolated median bounds4d4be8c44abf
addedSum of gammas (same scale)894b663ca62f
addedInfinite divisibilityc07950b76448
addedScaling of gammac88c57454b0e
addedExponential family form00bb0a8efda4
addedNatural exponential family (fixed shape)6b40a6cd219b
addedLogarithmic expectationcc3a30ac64a6
addedLogarithmic variance via trigamma0b85a601fe40
addedInformation entropy formula315e8c9dcf37
addedInformation entropy (α,θ form)9d6d87dbffcb
addedKL divergence (rate form)2c26b6d782be
addedKL divergence (scale form)604b4efb56d3
addedLaplace transform / MGF8c5cc1b16f4e
addedSum of iid exponentials is gammaefeb2b52e7ff
addedGamma(1,β) is exponentialc14b00444061
addedGamma to chi-squared2f25feda23fe
addedSchulz-Zimm special casec5cdb09f8ab2
addedErlang waiting time in Poisson processedd61a660253
addedMaxwell–Boltzmann relation2f5a2220bab9
addedLog-gamma transformefe86dcec442
addedExp-gamma transformb7da7e8d5f58
addedGeneralized gamma transform (p=2)a13689ddb596
addedGeneralized gamma transform (power q)4fafae3d93a6
addedInverse-gamma reciprocal5cf24f1128d8
addedBeta distribution from gammas4de23662addf
addedConvergence in distribution92a59e5bb581
addedDirichlet from gammas0fe47eea4e1d
addedNormal limit for large αde47e8044cf8
addedConjugate prior for normal precisiona36b27e9e753
addedMultivariate generalizationsa2f3545f8d01
addedSpecial case of generalized gammas4819c6904d99
addedDiscrete analog: negative binomiale494be007ca7
addedTweedie family member6ab79503d99d
addedModified half-normal family5893d98b031e
addedBeta prime marginal4983f047d15c
addedCompound gamma distributiona8516d4ab999
addedK-distribution from gamma mean priored309a625742
addedLikelihood functionab5dfc282e51
addedLog-likelihood60b26485ef88
addedMLE for θe8c46d1e4e48
addedMLE equation for αd93d3bd250b2
addedApproximate initial value for α733cc08ad7e6
addedNewton–Raphson update4a40f625cb58
addedEmpirical moment matching at MLEf21b5e3d8e71
addedUnderflow probabilityfb970a7eb869
addedClosed-form estimator for αc9265a85ead5
addedClosed-form estimator for θ05228fb395c4
addedBias-corrected scale estimator5b3c79c58c8b
addedBias correction for shapeda94e5ad3156
addedPosterior for θa35ec7907d6d
addedPosterior mean and SD3dfb8a771d94
addedConjugate prior listeeb78aefaf89
addedGamma's conjugate prior form04743a4a8958
addedWaiting time application07c197fd42bb
addedMolecular motor dwell time918a9b180731
addedInsurance and rainfall modelingbc92b8a784fe
addedNegative binomial mixture292c8ef1f032
addedCancer incidence agee8b5a5fd632e
addedInter-spike intervals22febd9ffd14
addedBacterial protein bursts5a07ca82c30e
addedPhylogenetics rate variation9a8f5089cc72
addedInverse transform for exponentialbf61a0c3600c
addedAhrens–Dieter acceptance–rejectionc7e73b30bb86
addedMarsaglia transformation–rejection033e2646b549