34 citations · 51 across the 3 of their papers we have counts for
3 papers
stat.ME2011★ 11 cited
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…
stat.ME2011★ 6 cited
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…
math.ST2010★ 34 cited
An extended Stein-type covariance identity for the Pearson family with applications to lower variance bounds
G. Afendras, N. Papadatos, V. Papathanasiou
For an absolutely continuous (integer-valued) r.v. of the Pearson (Ord) family, we show that, under natural moment conditions, a Stein-type covariance identity of order hol…