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

Empirical Likelihood for Linear Models under Strongly Mixing Samples

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  • Department of Statistics, Guangxi Normal University, Guilin 541004

Received date: 2017-04-25

  Accepted date: 2019-06-06

  Online published: 2019-06-06

Supported by

The National Natural Science Foundation of China (11671102); the Natural Science Foundation of Guangxi Province (2016GXNSFAA3800163; 2017GXNSFAA198349);  the Program on the High Level Innovation Team and Outstanding Scholars in Universities of Guangxi Province.

Abstract

Dependent data are popular in applications. The dependence described by strong mixing  is the weakest among well-known mixing structures, which appears in many application fields such as the pricing theories of financial assets. In this paper, by applying the blockwise empirical likelihood (EL) approach, the EL-based confidence regions for the regression vector in a linear model under strongly mixing errors are established, which can be used for the interval estimation and hypothesis testing of the regression vector. Results of a small simulation study on the finite sample performance of the confidence regions are provided.

Cite this article

CHEN Yu-qiu, QIN Yong-song . Empirical Likelihood for Linear Models under Strongly Mixing Samples[J]. Chinese Journal of Engineering Mathematics, 2019 , 36(5) : 595 -610 . DOI: 10.3969/j.issn.1005-3085.2019.05.009

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