Using fixed point characterization, we develop a new goodness of fit test for uniform distribution. We also discuss how the right censored observations can be incorporated in the proposed test procedure. We study the asymptotic properties of the proposed test statistics. A Monte Carlo simulation is carried out to evaluate the finite sample performance of the tests. We illustrate the test procedures using real data sets.
翻译:使用固定点特征描述,我们为统一分布开发了适合测试的新品质;我们还讨论了如何将受检查的正确观测纳入拟议测试程序;我们研究了拟议测试统计数据的无症状特性;进行了蒙特卡洛模拟,以评价测试的有限样本性能;我们用真实的数据集来说明测试程序。