Empirical Likelihood Inference of the Partial Linear Isotonic Errors-in-variables Regression Models with Missing Data. Issue 2 (7th February 2016)

• Record Type: Journal Article
• Authors: Sun, Zhimeng
• Is Part Of: Communications in statistics. Volume 45:Issue 2(2016)
• Page Start: 671
• Page End: 688
• Publication Date: 2016-02-07
• Subjects: Empirical likelihood -- Isotonic regression -- Measurement errors -- Missing -- Semiparametric; 62G05 -- 62G20; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2013.870197
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract : This article is concerned with statistical inference of the partial linear isotonic regression model missing response and measurement errors in covariates. We proposed an empirical likelihood ratio test statistics and show that it has a limiting weighted chi-square distribution. An adjusted empirical likelihood ratio statistic, which is shown to have a limiting standard central chi-square distribution, is then proposed further. A maximum empirical likelihood estimator is also developed. A simulation study is conducted to examine the finite-sample property of proposed procedure.