TITLE:
Basic Functions for Computational Implementation of the Box-Cox Symmetric Class of Distributions
AUTHORS:
Giovana Fumes-Ghantous, José Eduardo Corrente
KEYWORDS:
Asymmetric Distributions, Basic Functions, Box-Cox Symmetric Class
JOURNAL NAME:
Open Journal of Statistics,
Vol.11 No.6,
December
16,
2021
ABSTRACT: A class of distributions called Box-Cox symmetric
was proposed for random variables with asymmetric distributions. This class
allows through its structure an interpretation of the parameters in terms of
quantiles (in particular, the median), relative dispersion and skewness. This
study presents the initial results of the
computational development of basic functions of each of the distributions
that make up the Box-Cox symmetric class. Four functions have been developed to
compose a routine in software R up to now. These functions are related to
random numbers generation, probability density function, cumulative
distribution function, and quantile function associated to a given probability.
Examples of implemented functions were presented. The gamlss routine was used
to check the performance of developed functions.