The Zeta-G Class: Some Computational and Analytical Aspects
DOI:
https://doi.org/10.5902/2179460X39914Abstract
We define a new class of distributions with one extra shape
parameter including some special cases. We provide numerical and computational aspects of the new class. We propose
functions using the \textsf{R} language to fit any distribution in this family to a data set. In addition, such functions are implemented efficiently
using the library \textsf{Rcpp} that enables the incorporation of the codes \textsf{C++} in \textsf{R} automatically. Some examples are presented
for using the implemented routines in practice. We derive some mathematical properties of this class including explicit expressions
for the moments, generating function and mean deviations. We discuss the estimation of the model parameters
by maximum likelihood and provide an application to a real data set.
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