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On Moments of Gamma—Exponentiated Functional Distribution

DOI: https://doi.org/10.3390/stats1010002

Keywords: Gamma-exponentiated functional distribution, moments, Lagrange-Bürmann inversion theorem, Lambert W–function, quantile function

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Abstract:

Abstract In this note we discuss the development of a new Gamma exponentiated functional GE ( α , h ) distribution, using the Gamma baseline distribution generating method by Zografos and Balakrishnan. The raw moments of the Gamma exponentiated functional GE ( α , h ) distribution are derived. The related probability distribution class is characterized in terms of Lambert W-function. View Full-Tex

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