This paper investigates the asymptotic properties of the modified likelihood ratio statistic for testing homogeneity in bivariate normal mixture models with an unknown structural parameter. It is shown that the modifi...This paper investigates the asymptotic properties of the modified likelihood ratio statistic for testing homogeneity in bivariate normal mixture models with an unknown structural parameter. It is shown that the modified likelihood ratio statistic has χ22 null limiting distribution.展开更多
In this paper, the authors obtain the joint empirical likelihood con?dence regions for a?nite number of quantiles under negatively associated samples. As an application of this result, the empirical likelihood con?den...In this paper, the authors obtain the joint empirical likelihood con?dence regions for a?nite number of quantiles under negatively associated samples. As an application of this result, the empirical likelihood con?dence intervals for the difference of any two quantiles are also developed.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos.11271088and 11361011the Natural Science Foundation of Guangxi under Grant Nos.2013GXNSFAA019004 and2013GXNSFAA019007
文摘这份报纸建议使用 blockwise 在否定地联系的错误下面在一个部分线性的模型为回归向量构造信心区域的实验可能性的(EL ) 方法。这被显示出 blockwise EL 比率统计数值为 asymptotically, <sup>2</sup> 散布了。结果被用来获得一个基于 EL 的信心区域为。建议信心区域的有限样品表演上的模拟研究的结果被报导。
基金the National Natural Science Foundation of China (Grant No. 10661003)the Natural Science Foundation of Guangxi (Grant No. 0728092) SRF for ROCS, SEM (Grant No. [2004]527)
文摘This paper investigates the asymptotic properties of the modified likelihood ratio statistic for testing homogeneity in bivariate normal mixture models with an unknown structural parameter. It is shown that the modified likelihood ratio statistic has χ22 null limiting distribution.
基金supported by the National Natural Science Foundation of China under Grant Nos.1127108811361011+3 种基金11201088the Natural Science Foundation of Guangxi under Grant No.2013GXNSFAA0190042013 GXNSFAA 0190072013GXNSFBA019001
文摘In this paper, the authors obtain the joint empirical likelihood con?dence regions for a?nite number of quantiles under negatively associated samples. As an application of this result, the empirical likelihood con?dence intervals for the difference of any two quantiles are also developed.