A New Statistical Goodness‐of‐Fit Test Based on Graphical Representation
A New Statistical Goodness‐of‐Fit Test Based on Graphical Representation
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基于图形表示的新统计拟合优度检验
DOI：
10.1002/bimj.4710340403
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发表时间：
1992
影响因子：
1.7
通讯作者：
E. Dudewicz
中科院分区：
文献类型：
--
作者：
A. Öztürk;E. Dudewicz
开发了一种统计拟合优度检验，该检验基于用链接向量表示样本观察结果。链接向量的方向和长度分别定义为阶次统计量和样本阶次统计量的期望值的函数。底层方法可用于测试任何位置规模族的分布假设。介绍了检验统计量 Qn 并研究了它的一些性质。结果表明，所提出的检验可以推广到检验两个或多个独立样本是否来自同一分布。检验过程提供了一种图形方法，用于在拒绝零假设时识别真实分布。
A statistical goodness-of-fit test, based on representing the sample observations by linked vectors, is developed. The direction and the length of the linked vectors are defined as functions of the expected values of the order statistics and sample order statistics, respectively. The underlying method can be used to test distributional assumptions for any location-scale family. A test statistic Qn is introduced and some of its properties are studied. It is shown that the proposed test can be generalized to test if two or more independent samples come from the same distribution. The test procedure provides a graphical method of identifying the true distribution when the null hypothesis is rejected.