THE ESTIMATE AND TEST IN THE SYMMETRICAUXILIARY INFORMATION  

作　　者：CUI Hengjian YUAN Xiujiu(Department of Mathematics, Beijing Normal University, Beijing 100875, China) 

出　　处：《Systems Science and Mathematical Sciences》1998年第2期117-124,共8页

摘　　要：This paper gives an estimate of a symmetric population distribution function Fand a modified K. Pearson statistic in the symmetric auxiliary information. Asymptoticalproperties show that they dominate the usual statistics. The asymptotic distribution ofthe modified K. Pearson statistic under the null hypothesis is derived. The approximateBahadur slope and asymptotic power function of a test based on the modified K. Pearsonstatistic are given. Numerical results show the modified K. Pearson statistic is better thanK. Pearson statistic.This paper gives an estimate of a symmetric population distribution function Fand a modified K. Pearson statistic in the symmetric auxiliary information. Asymptoticalproperties show that they dominate the usual statistics. The asymptotic distribution ofthe modified K. Pearson statistic under the null hypothesis is derived. The approximateBahadur slope and asymptotic power function of a test based on the modified K. Pearsonstatistic are given. Numerical results show the modified K. Pearson statistic is better thanK. Pearson statistic.

关 键 词：Empirical LIKELIHOOD K. Pearson statistic APPROXIMATE Bahadur SLOPE powerfunction. 

分 类 号：O211[理学—概率论与数理统计]