34 citations · 104 across the 22 of their papers we have counts for
25 papers
Hermite Spectra and Kernel Factorization for Gaussian-Weighted Tests of Normality
Nikolaos Gkoumas, Nickos Papadatos, Samis Trevezas
We study the asymptotic null spectrum of Gaussian-weighted tests of univariate normality with estimated location and scale. Closed Hermite coefficients give equations both away fro…
On corrected Poisson approximations for sums of independent indicators
Nickos Papadatos
Let be a sum of independent indicators , with , . It is well-known that the total variation distance between $S…
A discrete analogue of Terrell's characterization of rectangular distributions
Nickos Papadatos
George R. Terrell (1983, {Ann. Probab., vol. 11(3), pp. 823--826) showed that the Pearson coefficient of correlation of an ordered pair from a random sample of size two is at most…
On the inversion of the Laplace transform (In Memory of Dimitris Gatzouras)
Nickos Papadatos
The Laplace transform is a useful and powerful analytic tool with applications to several areas of applied mathematics, including differential equations, probability and statistics…
On point estimators for Gamma and Beta distributions
Nickos Papadatos
Let be a random sample from the Gamma distribution with density , , where both (the shape parameter) and (the recipro…
Order statistics from exchangeable random variables are always sufficient
Nickos Papadatos
Let be an exchangeable random vector with distribution function , and denote by the corresponding order statistics. We show that the…
Finite sequences representing expected order statistics
A. Okolewski, N. Papadatos
Characterizations of finite sequences representing expected values of order statistics from a random sample of size are given. As a by-product, a character…
On sequential maxima of exponential sample means, with an application to ruin probability
Dimitris Cheliotis, Nickos Papadatos
We obtain the distribution of the maximal average in a sequence of independent identically distributed exponential random variables. Surprisingly enough, it turns out that the inve…
Sequences of expected record values
Nickos Papadatos
We investigate conditions in order to decide whether a given sequence of real numbers represents expected record values arising from an independent, identically distributed, sequen…
The characteristic function of the discrete Cauchy distribution (In Memory of T. Cacoullos)
Nickos Papadatos
A new family of integer-valued Cauchy-type distributions is introduced, the {\it Cauchy-Cacoullos family}. The characteristic function is evaluated, showing some interesting distri…
Optimal moment inequalities for order statistics from nonnegative random variables
Nickos Papadatos
We obtain the best possible upper bounds for the moments of a single order statistic from independent, non-negative random variables, in terms of the population mean. The main resu…
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…
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…
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…
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…
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…
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…
Another extension of the disc algebra
V. Nestoridis, N. Papadatos
We identify the complex plane C with the open unit disc D={z:|z|<1} by the homeomorphism z --> z/(1+|z|). This leads to a compactification of C, homeomorphic to the close…
Linear Estimation of Location and Scale Parameters Using Partial Maxima
Nickos Papadatos
Consider an i.i.d. sample X^*_1,X^*_2,...,X^*_n from a location-scale family, and assume that the only available observations consist of the partial maxima (or minima)sequence, X^*…