In this paper some well-known tests based on empirical distribution functions (EDF) with estimated parameters for testing composite normality hypothesis are revisited, and some new results on asymptotic properties are provided. In particular, the approximate Bahadur slopes are obtained -- in the case of close alternatives -- for the EDF-based tests as well as the likelihood ratio test. The local approximate efficiencies are calculated for several close alternatives. The obtained results could serve as a benchmark for evaluation of the quality of recent and future normality tests.

翻译：在本文件中,根据经验分配功能(EDF)进行了一些众所周知的测试,这些测试具有测试复合正常假设的估计参数,并提供了一些关于无症状特性的新结果,特别是,为基于EDF的测试和可能性比率测试,获得了大约巴哈杜尔斜坡 -- -- 如果是近似替代品 -- -- 以及近似巴哈杜尔斜坡。为几种近似替代品计算了当地近似效率。所取得的结果可作为评估近期和未来正常测试质量的基准。