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

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

2008-01-18

arxiv.org/abs/0801.2941v4

Mathematics

General Mathematics

66 pages v3; minor typos corrected

Scientific paper

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, inverse distributions, skewness, kurtosis, change of variable distributions, log distributions. Maximum likelihood estimation technique is briefly outlined.

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