| Web function | Short description of function |
| MnBeta4DistCdf | Returns the cumulative distribution function of the beta distribution |
| MnBeta4DistPdf | Returns the probability density function of the beta distribution |
| MnBeta4Inv | Returns the inverse cdf, i.e. quantile, of the beta distribution |
| MnBetaDistCdf | Returns the cumulative distribution function of the (standard) beta distribution |
| MnBetaDistPdf | Returns the probability density function of the (standard) beta distribution |
| MnBetaInv | Returns the inverse cdf, i.e. quantile, of the (standard) beta distribution |
| MnJohnsonSUMOMEstimates | Returns the method of moments estimation vector for parameters of a Johnson SU probability distribution for a given dataset |
| MnProbDistCdf | Evaluates the cumulative distribution function for a given probability distribution |
| MnProbDistCtsBoundedLower | Indicates if a (continuous) probability distribution has a lower bound other than minus infinity |
| MnProbDistCtsBoundedUpper | Indicates if a (continuous) probability distribution has an upper bound other than plus infinity |
| MnProbDistCtsLowerBound | Returns lower bound of (continuous) probability distribution (if it is bounded below) |
| MnProbDistCtsUpperBound | Returns upper bound of (continuous) probability distribution (if it is bounded above) |
| MnProbDistHazardFunction | Returns the hazard function for a given probability distribution |
| MnProbDistIsCts | Returns true if probability distribution is continuous, false if it is discrete |
| MnProbDistKurt | Returns the (excess) kurtosis of a given probability distrbution |
| MnProbDistLikelihood | Returns the likelihood of a given dataset for a a given probability distribution |
| MnProbDistLogLikelihood | Returns the log-likelihood of a given dataset for a a given probability distribution |
| MnProbDistMean | Returns the mean of a given probability distrbution |
| MnProbDistMLE | Returns the maximum likelihood estimation vector for parameters of a given probability distribution for a given dataset |
| MnProbDistMLERestricted | Returns the maximum likelihood estimation vector for parameters (only some of which may vary) of a given probability distribution for a given dataset |
| MnProbDistPage | Returns the main Nematrian web page referring to a given probability distribution |
| MnProbDistParamCount | Returns the number of the parameters used in the specification of the probability distribution |
| MnProbDistParamNames | Returns the names of the parameters used in the specification of the probability distribution |
| MnProbDistPdf | Evaluates the probability density function for a given (continuous) probability distribution |
| MnProbDistPlotCdf | Returns a SmartCode for a plot of the cumulative density function of a statistical distribution |
| MnProbDistPlotCdfs | Returns a SmartCode for a plot of the cumulative density function of several statistical distributions |
| MnProbDistPlotPdf | Returns a SmartCode for a plot of the probability density function of a continuous statistical distribution |
| MnProbDistPlotPdfs | Returns a SmartCode for a plot of the probability density function of several continuous statistical distributions |
| MnProbDistPlotPmf | Returns a SmartCode for a plot of the probability mass function of a discrete statistical distribution |
| MnProbDistPlotPmfs | Returns a SmartCode for a plot of the probability mass function of several discrete statistical distributions |
| MnProbDistPlotQQ | Returns a SmartCode for a plot of the quantile-quantile plot of a statistical distribution |
| MnProbDistPlotQQs | Returns a SmartCode for a plot of the quantile-quantile plot of several statistical distributions |
| MnProbDistPmf | Evaluates the probability mass function for a given (discrete) probability distribution |
| MnProbDistPolyEval | Calculates the expected value of a (possibly bounded) polynomial for a given (continuous) probability distribution |
| MnProbDistQuantile | Evaluates the quantile, i.e. inverse cdf, for a given probability distrbution |
| MnProbDistRand | Returns a single random draw from a given probability distrbution |
| MnProbDistRandArray | Returns a (seeded) random array of draws from a given probability distrbution |
| MnProbDistRandArrayEqSp | Returns a (seeded) random array of draws from a given probability distrbution, using equally spaced quantiles |
| MnProbDistSkew | Returns the skew (skewness) of a given probability distrbution |
| MnProbDistStd | Returns the standard deviation of a given probability distrbution |
| MnProbDistTailValueAtRisk | Returns the tail value at risk of a given probability distribution |
| MnProbDistTWLS | Returns the tail weighted least squares estimation vector for parameters of a given probability distribution for a given dataset |
| MnProbDistTWLSRestricted | Returns the tail weighted least squares estimation vector for parameters (only some of which may vary) of a given probability distribution for a given dataset |
| MnProbDistTWMLE | Returns the tail weighted maximum likelihood estimation vector for parameters of a given probability distribution for a given dataset |
| MnProbDistTWMLERestricted | Returns the tail weighted maximum likelihood estimation vector for parameters (only some of which may vary) of a given probability distribution for a given dataset |
| MnProbDistValueAtRisk | Returns the value at risk of a given probability distribution |
| MnProbDistVar | Returns the variance of a given probability distrbution |
| MnProbDistWeightedLikelihood | Returns the weighted likelihood of a given dataset for a a given probability distribution |
| MnProbDistWeightedLogLikelihood | Returns the weighted log-likelihood of a given dataset for a a given probability distribution |
| MnProbDistWeightedMLE | Returns the weighted maximum likelihood estimation vector for parameters of a given probability distribution for a given dataset |
| MnProbDistWeightedMLERestricted | Returns the weighted maximum likelihood estimation vector for parameters (only some of which may vary) of a given probability distribution for a given dataset |
| MnRecognisedProbDists | Returns a string array listing probability distributions recognised by website analytics |