21 citations · 53 across the 8 of their papers we have counts for
9 papers
An AUK-based index for measuring and testing the joint dependence of a random vector
Georgios Afendras, Marianthi Markatou, Albert Vexler
We present an index of dependence that allows one to measure the joint or mutual dependence of a -dimensional random vector with . The index is based on a -dimensional K…
Multi-Panel Kendall Plot in Light of an ROC Curve Analysis Applied to Measuring Dependence
Albert Vexler, Georgios Afendras, Marianthi Markatou
The Kendall plot ($\K$-plot) is a plot measuring dependence between the components of a bivariate random variable. The $\K$-plot graphs the Kendall distribution function against th…
On the limiting distribution of sample central moments
Georgios Afendras, Nickos Papadatos, Violetta Piperigou
We investigate the limiting behavior of sample central moments, examining the special cases where the limiting (as the sample size tends to infinity) distribution is degenerate. Pa…
The out-of-source error in multi-source cross validation-type procedures
Georgios Afendras, Marianthi Markatou
A scientific phenomenon under study may often be manifested by data arising from processes, i.e. sources, that may describe this phenomenon. In this contex of multi-source data, we…
Statistical Distances and Their Role in Robustness
Marianthi Markatou, Yang Chen, Georgios Afendras +1
Statistical distances, divergences, and similar quantities have a large history and play a fundamental role in statistics, machine learning and associated scientific disciplines. H…
Optimality of Training/Test Size and Resampling Effectiveness of Cross-Validation Estimators of the Generalization Error
Georgios Afendras, Marianthi Markatou
An important question in constructing Cross Validation (CV) estimators of the generalization error is whether rules can be established that allow "optimal" selection of the size of…
Uniform Integrability of the OLS Estimators, and the Convergence of their Moments
Georgios Afendras, Marianthi Markatou
The problem of convergence of moments of a sequence of random variables to the moments of its asymptotic distribution is important in many applications. These include the determina…
A factorial moment distance and an application to the matching problem
G. Afendras, N. Papadatos
In this note we introduce the notion of factorial moment distance for non-negative integer-valued random variables and we compare it with the total variation distance. Furthermore,…
Orthogonal polynomials in the Cumulative Ord family and its application to variance bounds
Giorgos Afendras, Narayanaswamy Balakrishnan, Nickos Papadatos
This article presents and reviews several basic properties of the Cumulative Ord family of distributions; this family contains all the commonly used discrete distributions. A compl…