TITLE:
Mean Difference and Mean Deviation of Tukey Lambda Distribution
AUTHORS:
Giovanni Girone, Antonella Massari, Fabio Manca, Angela Maria D’Uggento
KEYWORDS:
Mean Difference, Mean Deviation, Tukey Lambda Distribution, Variability Indexes’ Relationships
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.8,
August
24,
2020
ABSTRACT: The purpose of this paper is to broaden the knowledge of mean difference
and, in particular, of an important distribution model known as Tukey lambda,
which is generally used to choose a model to fit data. We have
obtained compact formulas, which are not yet reported in literature, of mean
deviation and mean difference related to the said distribution model. These
results made it possible to analyze the relationships among variability indexes,
namely standard deviation, mean deviation and mean difference, regarding Tukey
lambda model.