Evaluation of the H-Function Integral and of Probability Distributions of Functions of Independent Random Variables

DOI10.1080/01966324.1981.10737078zbMath0529.62022OpenAlexW2057053746WikidataQ58190816 ScholiaQ58190816MaRDI QIDQ3311479

Ivy D. Jun. Cook, J. Wesley Barnes

Publication date: 1981

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.1981.10737078

zbMATH Keywords

density functionscumulative distributionsnew H-function identitiesnumerical evaluation of H-function inversion integral

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to statistics (62-04) Exact distribution theory in statistics (62E15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Probabilistic methods, stochastic differential equations (65C99) Statistical distribution theory (62E99)

Related Items (3)

The distribution of products, quotients, and powers of two dependent H- function variates ⋮ The bivariate H-function distribution ⋮ Probabilistic arithmetic. I: Numerical methods for calculating convolutions and dependency bounds

Cites Work

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• Generalized hypergeometric functions with applications in statistics and physical sciences
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• The Distribution of Products, Quotients and Powers of Independent H-Function Variates
• The Distribution of Products of Independent Random Variables
• A Generalization of the Gamma Distribution
• A CLASS OF DISCONTINUOUS INTEGRAL
• Some Applications of the Mellin Transform in Statistics

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