Applications of the H-Function Distribution in Classifying & Fitting Classical Probability Distributions

SYNOPTIC ABSTRACT

The H-function is a general mathematical function which include families of statistical distributions; these include most classical univariate statistical distributions. A representation of these classical distributions as points in the parameter space of the H-function parameters is developed, together with a geometric representation of some common algebraic operations on random variables. Techniques for estimation of the H-function parameters using the “method of moments” are also given.

Key Words and Phrases:

• statistical analysis
• probability distributions
• probability density functions
• special functions
• H-function
• parameter estimation
• curve-fitting
• method of moments