This article is concerned with estimations for longitudinal partial linear models with covariate that is measured with error. We propose a generalized empirical likelihood method by combining correction attenuation and quadratic inference functions. The method takes into account

the within-subject correlation without involving direct estimation of nuisance parameters in the correlation matrix. We define a generalized empirical likelihood-based statistic for the regression coefficients and residual adjusted empirical likelihood for the baseline function. The empirical log-likelihood ratios are proven to be asymptotically chi-squared, and the corresponding confidence regions are then constructed.

Compared with methods based on normal approximations, the generalized empirical likelihood does not require consistent estimators for

the asymptotic variance and bias. Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.

the within-subject correlation without involving direct estimation of nuisance parameters in the correlation matrix. We define a generalized empirical likelihood-based statistic for the regression coefficients and residual adjusted empirical likelihood for the baseline function. The empirical log-likelihood ratios are proven to be asymptotically chi-squared, and the corresponding confidence regions are then constructed.

Compared with methods based on normal approximations, the generalized empirical likelihood does not require consistent estimators for

the asymptotic variance and bias. Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.

Longitudinal Data, Generalized Empirical Likelihood, Confidence Region, Measurement Error, Partially Linear Model

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Birincil Dil | en |
---|---|

Konular | Matematik |

Dergi Bölümü | İstatistik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms453616,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651-477X},
eissn = {2651-477X},
address = {Hacettepe Üniversitesi},
year = {2018},
volume = {47},
pages = {983 - 1001},
doi = {},
title = {Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data},
key = {cite},
author = {Tian, Ruiqin and Xue, Liugen and Liu, Juanfang}
}
``` |

APA | Liu, J , Xue, L , Tian, R . (2018). Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data. Hacettepe Journal of Mathematics and Statistics, 47 (4), 983-1001. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453616 |

MLA | Liu, J , Xue, L , Tian, R . "Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data". Hacettepe Journal of Mathematics and Statistics 47 (2018): 983-1001 <http://dergipark.gov.tr/hujms/issue/38872/453616> |

Chicago | Liu, J , Xue, L , Tian, R . "Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data". Hacettepe Journal of Mathematics and Statistics 47 (2018): 983-1001 |

RIS | TY - JOUR T1 - Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data AU - Juanfang Liu , Liugen Xue , Ruiqin Tian Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 983 EP - 1001 VL - 47 IS - 4 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - |

EndNote | %0 Hacettepe Journal of Mathematics and Statistics Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data %A Juanfang Liu , Liugen Xue , Ruiqin Tian %T Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 4 %R %U |

ISNAD | Liu, Juanfang , Xue, Liugen , Tian, Ruiqin . "Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 983-1001. |