Tests based on φ-divergences for bivariate symmetry
Tests based on φ-divergences for bivariate symmetry
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DOI：
10.1007/s001840000088
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发表时间：
2001-01-01
期刊：
影响因子：
0.7
通讯作者：
Pardo, L
中科院分区：
文献类型：
--
作者：
Menéndez, ML;Pardo, JA;Pardo, L
在本文中，我们介绍了一系列基于 phi -divergcnce 系列的测试统计量，用于测试对称性。这些检验统计量产生似然比检验和 Pearson 检验统计量作为特殊情况。新检验统计量的渐近分布是在原假设和备择假设下得出的。提出了一项模拟研究，以了解一些新的检验统计量为解决对称性问题的经典皮尔逊统计量提供了一种有吸引力的替代方案。
In this paper we introduce a family of test statistics for testing symmetry based on phi -divergcnce families. These test statistics yield the likelihood ratio test and the Pearson test statistic as special cases. Asymptotic distribution for the new test statistics are derived under both the null and the alternative hypotheses. A simulation study is presented to see that some new test statistics offer an attractive alternative to the classical Pearson lest statistic for the problem of symmetry.