34 citations · 104 across the 22 of their papers we have counts for
7 papers · 1 filter
On sequences of expected maxima and expected ranges
Nickos Papadatos
We investigate conditions in order to decide whether a given sequence of real numbers represents expected maxima or expected ranges. The main result provides a novel necessary and…
Maximizing the expected range from dependent observations under mean-variance information
Nickos Papadatos
In this article we derive the best possible upper bound for under given means and variances on random variables . The random vector $(X_1,...,X_…
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…
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…
Strengthened Chernoff-type variance bounds
G. Afendras, N. Papadatos
Let be an absolutely continuous random variable from the integrated Pearson family and assume that has finite moments of any order. Using some properties of the associated…
On matrix variance inequalities
G. Afendras, N. Papadatos
Olkin and Shepp (2005, J. Statist. Plann. Inference, vol. 130, pp. 351--358) presented a matrix form of Chernoff's inequality for Normal and Gamma (univariate) distributions. We ex…