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Download a pdf copy of this help file here |
Format: VoseGLogistic(a, b, g, U)
Generalized Logistic equations
The Generalized logistic distribution can be either left or right skewed (when parameter g is less than 1 or greater than 1 respectively) or symmetric (g= 1). When g = 1 the distribution is Logistic, i.e.:
GLogistic(a,b,1) = Logistic(a,b)
The Generalized logistic distribution has been used to fit values of extremes: for example, extremes of share return fluctuations (Gettinby et al, 2004) and sea levels (van Gelder et al, 2000). It has been used extensively for maximum rainfall modeling, and in the UK and elsewhere is used in hydrological risk analysis as the standard model for flood frequency estimation (Institute of Hydrology, 1999).
VoseGLogistic generates values from this distribution or calculates a percentile.
VoseGLogisticObject constructs a distribution object for this distribution.
VoseGLogisticProb returns the probability density or cumulative distribution function for this distribution.
VoseGLogisticProb10 returns the log10 of the probability density or cumulative distribution function.
VoseGLogisticFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution.
VoseGLogisticFitObject constructs a distribution object of this distribution fitted to data.
VoseGLogisticFitP returns the parameters of this distribution fitted to data.
