论文标题
瑞利分布的拟合测试优点
Goodness of fit tests for Rayleigh distribution
论文作者
论文摘要
我们为瑞利分布开发了一个新的优点测试，以进行完整以及正确的审查数据。我们使用U统计理论来得出测试统计量。首先，我们为完整数据制定测试，然后讨论如何将正确的审查观察结果纳入测试程序。详细研究了未经审查和审查案例中测试统计量的渐近特性。进行了广泛的蒙特卡洛模拟研究，以验证拟议的测试的性能。我们使用真实数据集说明了过程。我们还提供了基于折刀经验可能性的标准雷利分布的拟合效果。
We develop a new goodness fit test for Rayleigh distribution for complete as well as right censored data. We use U-Statistic theory to derive the test statistic. First we develop a test for complete data and then discuss, how right censored observations can be incorporated in the testing procedure. The asymptotic properties of the test statistics in both uncensored and censored cases are studied in detail. Extensive Monte Carlo simulation studies are carried out to validate the performance of the proposed tests. We illustrate the procedures using real data sets. We also provide, a goodness of fit test for standard Rayleigh distribution based on jackknife empirical likelihood.
