测试基于独立过程的统计数据

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences Pub Date : 2020-06-15 DOI:10.56017/2181-1318.1093

Leyla R. Kakadjanova

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摘要

本文致力于研究独立性的经典归一化经验过程。采用具有最佳收敛速度的强逼近方法对过程进行了研究。为了检验随机变量与事件独立的假设，我们还考虑了寻找某些统计量的极限分布的问题。并考虑了该方法在随机滤波模型中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Test statistics based on independence processes

Paper is devoted to investigating classical normalized empirical process of independence. Processes are investigated by using strong approximation meth-ods with best rate of convergence. We also consider the problems of ﬁnding of limit distributions of certain classes of statistics for testing the hypothesis of in-dependence of random variable and event. The application to random censoring model also considered.

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Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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