Summary Of Four Generalized Exponential Models (GEM) For Continuous Probability Distributions

Abstract

Four new probability models are derived which generalize the common univariate continuous distributions. Classical distributional measures are derived from Hoel, et al., Introduction to Probability Theory, 1971. Measures include probability density function, moments generating function, cumulative distribution function,derivatives, inverse distributions, skewness, kurtosis, change of variable distributions, log distributions. Maximum likelihood estimation technique is briefly outlined. Appendices describe applications. Errata/addenda sheet included.

arXiv comment66 pages v5; minor typos corrected and formu;and reference formulas added