Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2015, Vol. 32 ›› Issue (2): 276-290.doi: 10.3969/j.issn.1005-3085.2015.02.012

Previous Articles     Next Articles

Confidence Regions for Regression Coefficients in Linear Models under Associated Errors

LI Ying-hua,   QIN Yong-song,   LEI Qing-zhu   

  1. School of Mathematics and Statistics, Guangxi Normal University, Guilin, Guangxi 541004
  • Received:2013-08-08 Accepted:2014-12-02 Online:2015-04-15 Published:2015-06-15
  • Supported by:
    The National Natural Science Foundation of China (11271088;  11201088;  11361011);  the Natural Science Foundation of Guangxi (2013GXNSFAA019004;  2013GXNSFAA019007;  2013GXNSFBA019001).

Abstract:

Association often occurs in certain reliability theory problems, as well as in some important models employed in statistical mechanics. In this paper, we investigate the construction of the confidence regions for the regression vector $\beta$ in a linear model under stationary and associated errors. It is shown that the blockwise empirical likelihood (EL) ratio statistic for $\beta$ asymptotically has $\chi^2$ distribution. The result is applied to obtain an EL-based confidence region for $\beta$.

Key words: linear models, blockwise empirical likelihood, associated sample, confidence region

CLC Number: