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math.PR2018
A Monotonicity Property of a New Bernstein Type Operator
Florenta Tripsa, Nicolae R. Pascu
In the present paper we prove that the probabilities of the Pólya urn distribution (with negative replacement) satisfy a monotonicity property similar to that of the binomial distr…
math.CA2018
An improved Popoviciu-type inequality for a new Bernstein-type operator
Mihai N. Pascu, Nicolae R. Pascu, Florenţa Tripşa
Recently we introduced a new Bernstein-type operator using Pólya's urn model with negative replacement, and we showed that it satisfies a Popoviciu-type inequality with a constant…