StatLib Members
These members are related to Statistical Function Library.
| Name | Description |
|---|---|
| Beta | Beta distribution of x, where nu and omega are shape parameters, respectively. Return value: Double. |
| Binom | Binomial distribution of x, where p is the probability of success at each trial and n is the number of trials. Return value: Double. |
| Cauchy | Cauchy distribution of x, where eta and theta are the location (median) and scale parameters, respectively. Return value: Double. |
| Chi2 | Chi-square distribution of x, where nu is the degrees of freedom. Return value: Double. |
| Expon | Exponential distribution of x, where lambda is the scale parameter. Return value: Double. |
| Extreme | Extreme value (Gumbel) distribution of x, where a and b are the location and scale parameters, respectively. Return value: Double. |
| Factorial | Computes the factorial of n. Return value: Double. |
| Fdistr | F distribution of x, where nu and omega are the degrees of freedom. Return value: Double. |
| FitJohnsonFromMoments | This function estimates the type (JohnsonType) of the best-fitting Johnson system (curve), and the parameters (Gamma, Delta, Lambda, Xi) for that curve from the first four moments of a distribution. Return value: Integer. |
| Gamma | Gamma distribution of x, where c is the shape parameter. Return value: Double. |
| Gammln | Computes the log-gamma function. Return value: Double. |
| Geom | Geometric distribution of x, where p is the probability of occurrence. Return value: Double. |
| INoncentralT | Computes the noncentral t cumulative distribution function. Return value: Double. |
| ITweedie | Computes the tweedie cumulative distribution function. Return value: Double. |
| Ibeta | Integral of Beta distribution of x, where nu and omega are shape parameters, respectively. Return value: Double. |
| Ibinom | Integral of Binomial distribution of x, where p is the probability of success at each trial and n is the number of trials. Return value: Double. |
| Icauchy | Integral of Cauchy distribution of x, where eta and theta are the location (median) and scale parameters, respectively. Return value: Double. |
| Ichi2 | Integral of Chi-square distribution of x, where nu is the degrees of freedom. Return value: Double. |
| Iexpon | Integral of Exponential distribution of x, where lambda is the scale parameter. Return value: Double. |
| Iextreme | Integral of Extreme value (Gumbel) distribution of x, where a and b are the location and scale parameters, respectively. Return value: Double. |
| Ifdistr | Integral of F distribution of x, where nu and omega are the degrees of freedom. Return value: Double. |
| Igamma | Integral of Gamma distribution of x, where c is the shape parameter. Return value: Double. |
| Igeom | Integral of Geometric distribution of x, where p is the probability of occurrence. Return value: Double. |
| Ilaplace | Integral of Laplace distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Ilogis | Integral of Logistic distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Ilognorm | Integral of Log-normal distribution of x, where mu and sigma are the scale and shape parameters, respectively. Return value: Double. |
| Inormal | Integral of Normal distribution of x, where mu and sigma are the mean and standard deviation, respectively. Return value: Double. |
| Ipareto | Integral of Pareto distribution of x, where c is the shape parameter. Return value: Double. |
| Ipoisson | Integral of Poisson distribution of x, where lambda is the expected value of x (the mean). Return value: Double. |
| Irayleigh | Integral of Rayleigh distribution of x, where b is the scale parameter. Return value: Double. |
| Istudent | Integral of Student's t distribution of x, with df degrees of freedom. Return value: Double. |
| Iweibull | Integral of Weibull distribution of x, where b, c and theta are the scale, shape, and threshold (location) parameters, respectively. Return value: Double. |
| Johnson | Computes the density of the Johnson distribution (curve) defined by parameters JohnsonType, Gamma, Delta, Lambda, and Xi, for the Johnson variate value x. Return value: Double. |
| JohnsonFromMoments | Computes the density of the Johnson distribution (curve) defined by moments Mean, StandardDeviation, Skewness, and Kurtosis, for the Johnson variate value x. Return value: Double. |
| Laplace | Laplace distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Logis | Logistic distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Lognorm | Log-normal distribution of x, where mu and sigma are the scale and shape parameters, respectively. Return value: Double. |
| NoncentralT | Computes the noncentral t probability distribution. Return value: Double. |
| Normal | Normal distribution of x, where mu and sigma are the mean and standard deviation, respectively. Return value: Double. |
| Pareto | Pareto distribution of x, where c is the shape parameter. Return value: Double. |
| Poisson | Poisson distribution of x, where lambda is the shape parameter. Return value: Double. |
| Rayleigh | Rayleigh distribution of x, where b is the scale parameter. Return value: Double. |
| RndChi2 | Generates a random number from the chi-square distribution. Return value: Double. |
| RndExp | Generates a random number from the exponential distribution. Return value: Double. |
| RndGamma | Generates a random number from the gamma distribution. Return value: Double. |
| RndNoncentralT | Generates a random number from the noncentral t distribution. Return value: Double. |
| RndNormal | Random number from a normal distribution with mu=0 and sigma=x. Return value: Double. |
| RndPoisson | Random number from a Poisson distribution with parameter x. Return value: Double. |
| RndTweedie | Generates a random number from the tweedie distribution. Return value: Double. |
| Student | Student's t distribution of x, with df degrees of freedom. Return value: Double. |
| Tweedie | Computes the tweedie probability distribution. Return value: Double. |
| Uniform | Random value in the range from 0 to x. Same as Rnd(x). Return value: Double. |
| VNoncentralT | Computes the quantile (or inverse of the cdf) of the noncentral t distribution. Return value: Double. |
| VTweedie | Computes the quantile (or inverse of the cdf) of the tweedie distribution. Return value: Double. |
| Vbeta | Inverse function for Beta distribution of x, where nu and omega are shape parameters, respectively. Return value: Double. |
| Vcauchy | Inverse function for Cauchy distribution of x, where eta and theta are the location (median) and scale parameters, respectively. Return value: Double. |
| Vchi2 | Inverse function for Chi-square distribution of x, where nu is the degrees of freedom. Return value: Double. |
| Vexpon | Inverse function for Exponential distribution of x, where lambda is the scale parameter. Return value: Double. |
| Vextreme | Inverse function for Extreme value (Gumbel) distribution of x, where a and b are the location and scale parameters, respectively. Return value: Double. |
| Vf | Inverse function for F distribution of x, where nu and omega are the degrees of freedom. Return value: Double. |
| Vgamma | Inverse function for Gamma distribution of x, where c is the shape parameter. Return value: Double. |
| Vlaplace | Inverse function for Laplace distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Vlogis | Inverse function for Logistic distribution of x, where a and b are the mean and scale parameter, respectively. Return value: Double. |
| Vlognorm | Inverse function for Log-normal distribution of x, where mu and sigma are the scale and shape parameters, respectively. Return value: Double. |
| Vnormal | Inverse function for Normal distribution of x, where mu and sigma are the mean and standard deviation, respectively. Return value: Double. |
| Vpareto | Inverse function for Pareto distribution of x, where c is the shape parameter. Return value: Double. |
| Vrayleigh | Inverse function for Rayleigh distribution of x, where b is the scale parameter. Return value: Double. |
| Vstudent | Inverse function for Student's t distribution of x, with df degrees of freedom. Return value: Double. |
| Vweibull | Inverse function for Weibull distribution of x, where b, c and theta are the scale, shape, and threshold (location) parameters, respectively. Return value: Double. |
| Weibull | Weibull distribution of x, where b, c and theta are the scale, shape, and threshold (location) parameters, respectively. Return value: Double. |
| iJohnson | Computes the integral of the Johnson distribution (curve) defined by parameters JohnsonType, Gamma, Delta, Lambda, and Xi, for the Johnson variate value x. Return value: Double. |
| iJohnsonFromMoments | Computes the integral of the Johnson distribution (curve) defined by moments Mean, StandardDeviation, Skewness, and Kurtosis, for the Johnson variate value x. Return value: Double. |
| vJohnson | Computes the inverse integral (Johnson variate value) of the Johnson distribution (curve) defined by parameters JohnsonType, Gamma, Delta, Lambda, and Xi, for the probability value p. Return value: Double. |
| vJohnsonFromMoments | Computes the inverse integral (Johnson variate value) of the Johnson distribution (curve) defined by moments Mean, StandardDeviation, Skewness, and Kurtosis, for the probability value p. Return value: Double. |
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