Urn模型的B网及其应用

Urn模型的离散概率分布被用于构造逼近格式,具有Bernstein多项式的许多特性。本文用B网技术对Urn模型概率分布给出新的解释,指出了Urn模型B网的诸多性质,导出分布函数曲线的导数公式,构造了Urn分布的对偶基及与此相关的拟插值算子。

B-nets of Urn Models and Its Application

The discrete probability distributions of urn models are developed to construct approximation schemes which share many of the shape preserving characteristics of Bernstein polynomial. In this paper, we give a new explanation about the distributions of the urn model by B-net techniques. The properties of B-nets are derived with regard to urn models,the explicit derivative formula is obtained and dual basis and a quasi-interpolation operator are constructed,which has a higher algebraic precise about urn distributions.