34 citations · 104 across the 22 of their papers we have counts for
4 papers · 1 filter
Integrated Pearson family and orthogonality of the Rodrigues polynomials: A review including new results and an alternative classification of the Pearson system
Giorgos Afendras, Nickos Papadatos
An alternative classification of the Pearson family of probability densities is related to the orthogonality of the corresponding Rodrigues polynomials. This leads to a subset of t…
Some Counterexamples Concerning Maximal Correlation and Linear Regression
Nickos Papadatos
A class of examples concerning the relationship of linear regression and maximal correlation is provided. More precisely, these examples show that if two random variables have (str…
Self-Inverse and Exchangeable Random Variables
Theophilos Cacoullos, Nickos Papadatos
A random variable Z will be called self-inverse if it has the same distribution as its reciprocal 1/Z. It is shown that if Z is defined as a ratio, X/Y, of two rv's X and Y (with P…
A Simple Method for Obtaining the Maximal Correlation Coefficient and Related Characterizations
Nickos Papadatos, Tatiana Xifara
We provide a method that enables the simple calculation of the maximal correlation coefficient of a bivariate distribution, under suitable conditions. In particular, the method rea…