|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|5129240||1489624||2017||11 صفحه PDF||سفارش دهید||دانلود رایگان|
This paper considers linear hypotheses of a set of high-dimensional mean vectors with unequal covariance matrices. To test the hypothesis H0:âi=1qÎ²iÎ¼i=Î¼0, we use the CLT for the linear spectral statistics of a high-dimensional F-matrix in Zheng (2012) to establish a test statistic based on the likelihood ratio test statistic that is applicable to high-dimensional non-Gaussian variables in a wide range. Furthermore, the results of a simulation are provided to compare the proposed test with other high-dimensional tests. As shown by the simulation results, the empirical size of our proposed test is closer to a significance level, whereas our empirical powers dominate those of the other tests due to the likelihood-based statistic.
Journal: Journal of the Korean Statistical Society - Volume 46, Issue 3, September 2017, Pages 451-461