Summations associated with Gamma exponentiated exponential Weibull distribution
Dragana Jankov Ma\v{s}irevi\'c, Tibor K. Pog\'any
TL;DR
This paper derives surprising infinite summations involving special functions for the Gamma exponentiated exponential Weibull distribution, expanding mathematical understanding of this distribution's properties.
Contribution
It introduces new infinite summation formulas involving special functions for the GEEW distribution, enhancing analytical tools for this distribution.
Findings
Infinite summations involving incomplete Gamma functions
Summations with Fox--Wright Psi, Meijer G, and Whittaker W functions
Mathematical insights into the GEEW distribution
Abstract
Considering the recently studied Gamma exponentiated exponential Weibull probability distribution \cite{PoganySaboor} surprising infinite summations are obtained for series which building blocks are special functions like lower and upper incomplete Gamma, Fox--Wright Psi, Meijer or Whittaker functions.
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Taxonomy
TopicsStatistical Distribution Estimation and Applications · Mathematical functions and polynomials · Statistical Mechanics and Entropy