Supported Distributions

Functions Available (for all distributions)

• Probability density function pdf(x) 
  
• Inverse probability density function - finds possible values of x for a given value of pdf(x)     
• Cumulative density function cdf(x) & its complement (for greater precision when cdf(x) is near 1)     
• Quantile (inverse of cdf) & its complement (for greater precision when input value p is near 1)     
• Hazard function & cumulative hazard function
  
• Mean, mode, median, variance, standard deviation, skewness, kurtosis & kurtosis excess  
• Percentile & percentile rank
  
• Flags: symmetric, unimodal, discontinuous (left & right), strictly increasing / decreasing, inverted      
• Minimum & maximum defined & supported values of x
  
• Minimum & maximum values of pdf(x)
  
• Scalar & table-valued random variate generator functions
  
• Parameter accessors (allows distribution parameters to be read for stored distributions) 
• Distributions are implemented as types within SQL - they can be instantiated & stored in tables etc.
• Constructor functions are provided for each distribution
• Distributions can also be initialized / reset by assigning comma-separated parameter strings.
• All functions exist as instance methods (object.method() syntax) and as static methods (type::method() syntax)