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math.PR2022
Convex ordering of Pólya random variables and monotonicity of the error estimate of Bernstein-Stancu operators
Diana Meleşteu, Mihai N. Pascu, Nicolae R. Pascu
In the present paper we show that in Pólya's urn model, for an arbitrarily fixed initial distribution of the urn, the corresponding random variables satisfy a convex ordering with…
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…