activity
20122026
most citedOn the modes of the Poisson distribution of order k

5 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

math.HO2026

Probability and statistics in Greece

Andreas N. Philippou, Apostolos Kasapis, Alex Karagrigoriou

Official statistics in Greece started as early as 1828 with the first Census. A department of statistics was established in 1861, and the General Statistical Service of Greece was…

stat.AP2021

Why Do Polls Fail? The Case of Four US Presidential Elections, Brexit, and Two India General Elections

Andreas N. Philippou

One of the most widely known and important applications of probability and statistics is scientific polling to forecast election results. In 1936, Gallup predicted correctly the vi…

math.CO2020

Novel Results of Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

W. M. Abd-Elhameed, N. A. Zeyada, A. N. Philippou

This paper is concerned with developing some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. All the connection coefficients involve hyp…

math.PR2017

A note on the modes of the negative binomial distribution of order k, type I

Costas Georghiou, Andreas N. Philippou, Zaharias M. Psillakis

Upper and lower bounds are derived for the mode(s) of the negative binomial distribution of order k, type I, with parameters r and p, which are employed to establish an explicit fo…

math.PR2013★ 4 cited

A Note on the Modes of the Poisson Distribution of Order k

Andreas N. Philippou

It is shown that for any positive integer k and positive parameter lambda less than 2/k(k+1), the Poisson distribution of order k with parameter lambda has a unique mode, 0. In add…

math.ST2012★ 5 cited

On the modes of the Poisson distribution of order k

Constantinos Georghiou, Andreas N. Philippou, Abolfazl Saghafi

Sharp upper and lower bounds are established for the modes of the Poisson distribution of order k. The lower bound established in this paper is better than the previously establish…