most citedAn extended Stein-type covariance identity for the Pearson family with applications to lower variance bounds

34 citations · 36 across the 2 of their papers we have counts for

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2 papers

math.PR2011★ 2 cited

A note on a variance bound for the multinomial and the negative multinomial distribution

G. Afendras, V. Papathanasiou

We prove a Chernoff-type upper variance bound for the multinomial and the negative multinomial distribution. An application is also given.

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…