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See also: Skew Normal distribution
Format: VoseSlash(mode,scale,
U)
The Slash distribution is a continuous unbounded distribution developed as a deviation to the Normal distribution to allow for fatter tails kurtosis by altering the κ parameter, as illustrated in the plot below. When κ=0 the distribution reduces to a Normal(μ,σ).
The Slash distribution can be used to fit to data that are approximately Normal but have a kurtosis > 3. i.e. greater than the Normal distribution. The Slash can readily be compared to a Normal since they share the same mean μ and standard deviation σ parameters.
The range of possible kurtosis values lies within [3,6] equating to excess kurtosis values of 0 and 3 respectively.
VoseSlash generates values from this distribution or calculates a percentile. Professional and Industrial editions only.
VoseSlashObject constructs a distribution object for this distribution. Professional and Industrial editions only.
VoseSlashProb returns the probability density or cumulative distribution function for this distribution. Professional and Industrial editions only.
VoseSlashProb10 returns the log10 of the probability density or cumulative distribution function. Professional and Industrial editions only.
VoseSlashFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution. Professional and Industrial editions only.
VoseSlashFitObject constructs a distribution object of this distribution fitted to data. Professional and Industrial editions only.
VoseSlashFitP returns the parameters of this distribution fitted to data. Professional and Industrial editions only.