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3.5.3.1 Cumulative Distribution Functions (CDF)
| Name | Brief | Example |
|---|---|---|
| Betacdf | Computes beta cumulative distribution function at \(x\), with parameters \(a\) and \(b\). | |
| Binocdf | Computes the lower tail, upper tail and point probabilities in given value \(k\), associated with a Binomial distribution using the corresponding parameters in \(n\), \(p\). | |
| Bivarnormcdf | Computes the lower tail probability for the bivariate Normal distribution. | |
| Chi2cdf | Computes the lower tail probability for the \(\chi^2\) distribution with real degrees of freedom. | |
| Cumul normal | Evaluates the cumulative Normal distribution function \(P(x)=\frac 1{\sqrt{2\pi }}\int_{-\infty }^xe^{\frac{-u^2}2}du\). | |
| Cumul normal complem | Evaluates an approximate value for the complement of the cumulative normal distribution function. | |
| Erf | The error function (or normal error integral). | |
| Erfc | The approximate value for the complement of the error function. | |
| Erfcinv | Return value of the inverse of the complementary error function for specified y. | |
| Erfinv | Return value of the inverse error function for specified y. | |
| Fcdf | Computes \(F\) cumulative distribution function at \(x\), with parameters\( a\) and\( b\), and lower tail. | |
| Foldnormcdf | Computes the lower tail probability for the Folded Normal distribution. | |
| Gamcdf | Computes the lower tail probability for the gamma distribution with real degrees of freedom, with parameters\( \alpha\) and \(\beta\) . | |
| Hygecdf | Computes the lower tail probabilities in given value , associated with a hypergeometric distribution using the corresponding parameters in ,nand . | |
| Landaucdf | Computes the cumulative density for the Landau distribution at x and with location parameter mu and scale parameter sigma. | |
| Logncdf | Computes the lower tail probability for the Lognormal cumulative distribution with parameters \( \mu\) and \(\sigma\). | |
| Ncbetacdf | Computes the cdf with the lower tail of the non-central beta distribution. | |
| Ncchi2cdf | Computes the probability associated with the lower tail of the non-central \(\chi^2\) distribution. | |
| Ncfcdf | Computes the probability associated with the lower tail of the non-central \(\digamma\) or variance-ratio distribution. | |
| Nctcdf | Computes the lower tail probability for the non-central Student's t-distribution. | |
| Normcdf | Computes the lower tail probability for the normal cumulative distribution. | |
| Poisscdf | Computes the lower tail probabilities in given value \(k\), associated with a Poisson distribution using the corresponding parameters in \(\lambda\). | |
| Prob | Computes the Probability Density (for a normal distribution) integrated from -x to +x. | |
| Srangecdf | Computes the probability associated with the lower tail of the distribution of the Studentized range statistic. | |
| Tcdf | Computes the cumulative distribution function of Student's t-distribution. | |
| Wblcdf | computes the low tail Weibull cumulative distribution function for value X using the parameters A and B. |