标题： 移民瓮模型 - 渐近性质和应用 显示英文标题

标题： Immigrated urn models - asymptotic properties and applications

摘要： 尿模型在科学和社会学科中已经被广泛研究和应用。 在临床研究中，将尿模型应用于治疗分配方案已被证明对研究人员有益，通过提供更有效的临床试验，同时对患者有益，通过增加接受更好治疗的可能性。 在本文中，我们努力推导出一个非常一般的迁移尿模型类，该类将迁移机制纳入尿过程。 开发了重要的渐近性质，并提供了示例以展示我们提出的尿模型类的适用性。 一般来说，迁移尿模型的变异性比相应的尿模型更小。 因此，当在临床试验中使用时，它更为有效。 显示英文摘要

摘要： Urn models have been widely studied and applied in both scientific and social disciplines. In clinical studies, the adoption of urn models in treatment allocation schemes has been proved to be beneficial to both researchers, by providing more efficient clinical trials, and patients, by increasing the probability of receiving the better treatment. In this paper, we endeavor to derive a very general class of immigrated urn models that incorporates the immigration mechanism into the urn process. Important asymptotic properties are developed and illustrative examples are provided to demonstrate the applicability of our proposed class of urn models. In general, the immigrated urn model has smaller variability than the corresponding urn model. Therefore, it is more powerful when used in clinical trials.