In this paper, we treat a nonlinear and unbalanced $2$-color urn scheme, subjected to two different nonlinear drawing rules, depending on the color withdrawn. We prove a central limit theorem as well as a law of large numbers for the urn composition. We also give an estimate of the mean and variance of both types of balls.

中文翻译：

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具有两种策略的非线性和不平衡缸模型：随机近似的观点

在本文中，我们处理非线性且不平衡的$2$颜色瓮方案，根据所提取的颜色，遵循两种不同的非线性绘制规则。我们证明了瓮的组成的中心极限定理和大数定律。我们还给出了两种类型球的均值和方差的估计。