TITLE:
The Distribution of an Index of Dissimilarity for Two Samples from a Uniform Population
AUTHORS:
Giovanni Girone, Antonella Nannavecchia
KEYWORDS:
Index of Dissimilarity; Uniform Distribution; Spacings
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7,
July
11,
2013
ABSTRACT: In this paper the authors study the sample behavior of
the Gini’s index of dissimilarity in the case of two samples of equal size
drawn from the same uniform population. The paper present the analytical
results obtained for the exact distribution of the index of
dissimilarity for sample sizes n ≤ 8. This
result was obtained by expressing the index of dissimilarity as a
linear combination of spacings of the pooled sample. The obtained
results allow to achieve the exact expressions of the moments for any sample size
and, therefore, to highlight the main features of the sampling distributions of
the index of dissimilarity. The present study can enhance inferential
statistical aspects about one of the main contributions of Gini.