ABSTRACT In this work, we propose an extension of the Irwin–Hall distribution to obtain the distribution of sum X + Y when the random variables X, Y are connected by a copula . Assuming that is the copula of random vector , we then use the proposed distribution to study the perturbation of copula . Theoretical results are illustrated by several examples.

中文翻译：

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带有 copula 诱导噪声的 copula 的随机噪声和扰动

摘要在这项工作中，我们提出了欧文-霍尔分布的扩展，以获得当随机变量 X、Y 由一个 copula 连接时总和 X + Y 的分布。假设这是随机向量的copula，然后我们使用建议的分布来研究copula的扰动。几个例子说明了理论结果。