工程数学学报
工程數學學報
공정수학학보
CHINESE JOURNAL OF ENGINEERING MATHEMATICS
2015年
2期
276-290
,共15页
李英华%秦永松%雷庆祝
李英華%秦永鬆%雷慶祝
리영화%진영송%뢰경축
线性模型%分组经验似然%相协样本%置信域
線性模型%分組經驗似然%相協樣本%置信域
선성모형%분조경험사연%상협양본%치신역
linear models%blockwise empirical likelihood%associated sample%confidence region
相协性在可靠性理论和统计领域中的一些重要模型中广泛出现。本文在平稳相协误差下研究了线性模型中回归系数的置信域的构造。在适当的条件下证明了回归系数的分组经验似然比统计量的渐近分布为卡方分布,并利用此结果构造了回归系数的经验似然置信域。
相協性在可靠性理論和統計領域中的一些重要模型中廣汎齣現。本文在平穩相協誤差下研究瞭線性模型中迴歸繫數的置信域的構造。在適噹的條件下證明瞭迴歸繫數的分組經驗似然比統計量的漸近分佈為卡方分佈,併利用此結果構造瞭迴歸繫數的經驗似然置信域。
상협성재가고성이론화통계영역중적일사중요모형중엄범출현。본문재평은상협오차하연구료선성모형중회귀계수적치신역적구조。재괄당적조건하증명료회귀계수적분조경험사연비통계량적점근분포위잡방분포,병이용차결과구조료회귀계수적경험사연치신역。
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 β in a linear model under stationary and associated errors. It is shown that the blockwise em-pirical likelihood (EL) ratio statistic forβ asymptotically hasχ2 distribution. The result is applied to obtain an EL-based confidence region forβ.