应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2011年
5期
481-496
,共16页
部分线性模型%m-相依误差%分组经验似然
部分線性模型%m-相依誤差%分組經驗似然
부분선성모형%m-상의오차%분조경험사연
Partial linear model%m-dependent errors%blockwise empirical likelihood
本文中,我们针对误差为m-相依序列的固定设计的部分线性模型,运用经验似然方法和分组经验似然方法,构造了回归参数的对数经验似然比检验统计量,并且证明了分组经验似然比检验统计量在参数取真值时是渐近地服从卡方分布的.模拟计算表明分组经验似然方法的有效性.
本文中,我們針對誤差為m-相依序列的固定設計的部分線性模型,運用經驗似然方法和分組經驗似然方法,構造瞭迴歸參數的對數經驗似然比檢驗統計量,併且證明瞭分組經驗似然比檢驗統計量在參數取真值時是漸近地服從卡方分佈的.模擬計算錶明分組經驗似然方法的有效性.
본문중,아문침대오차위m-상의서렬적고정설계적부분선성모형,운용경험사연방법화분조경험사연방법,구조료회귀삼수적대수경험사연비검험통계량,병차증명료분조경험사연비검험통계량재삼수취진치시시점근지복종잡방분포적.모의계산표명분조경험사연방법적유효성.
In this paper,the empirical likelihood method is extended to partial linear models with fixed designs under m-dependent errors.We show that not the usual empirical likelihood but the blockwise empirical likelihood works in this situation,and the blockwise empirical log-likelihood ratio is asymptotically chi-squared distributed.A simulation study is reported to show its efficiency.