34 citations · 104 across the 22 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…