We introduce the novel notion of the integrated characteristic function and its empirical counterpart. Some basic properties of these new objects are mentioned and in turn utilized in order to construct new procedures for testing goodness of fit to parametric distributions, for testing symmetry and homogeneity, and for testing independence. Asymptotic results are obtained, while corresponding Monte Carlo results on the finite-sample behavior of the procedures are also included.

中文翻译：

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基于综合经验特征函数的推理程序

我们介绍了集成特征函数及其经验对应的新颖概念。提到了这些新对象的一些基本属性，并依次利用它们来构建新的程序，以测试对参数分布的拟合优度，测试对称性和同质性以及测试独立性。获得渐近结果，同时还包括程序有限样本行为的相应蒙特卡洛结果。