2017年,我校统计与信息学院李睿在国际一类杂志《Scandinavian Journal of Statistics》发表“A Semiparametric Regression Model for Longitudinal Data with Non-stationary Errors”论文。
- 作者:
- Li, Rui1
Leng, Chenlei2
You, Jinhong3,4 - 来源:
- Scandinavian Journal of Statistics. Dec2017, Vol. 44 Issue 4, p932-950. 19p.
- 文献类型:
- Article
- 主题语:
- *Parameter estimation
*Regression analysis
*Error analysis (Mathematics)
*Analysis of covariance
Longitudinal method - 作者提供的关键字:
- autoregressive process
B-splines
model selection
rate of convergence
SCAD penalty - 摘要:
- Motivated by the need to analyze the National Longitudinal Surveys data, we propose a new semiparametric longitudinal mean-covariance model in which the effects on dependent variable of some explanatory variables are linear and others are non-linear, while the within-subject correlations are modelled by a non-stationary autoregressive error structure. We develop an estimation machinery based on least squares technique by approximating non-parametric functions via B-spline expansions and establish the asymptotic normality of parametric estimators as well as the rate of convergence for the non-parametric estimators. We further advocate a new model selection strategy in the varying-coefficient model framework, for distinguishing whether a component is significant and subsequently whether it is linear or non-linear. Besides, the proposed method can also be employed for identifying the true order of lagged terms consistently. Monte Carlo studies are conducted to examine the finite sample performance of our approach, and an application of real data is also illustrated. [ABSTRACT FROM AUTHOR]
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- 作者单位:
- 1School of Statistics and Information, Shanghai University of International Business and Economics
2Department of Statistics, University of Warwick
3Key Laboratory of Mathematical Economics (SUFE), Ministry of Education of China
4School of Statistics and Management, Shanghai University of Finance and Economics - ISSN:
- 0303-6898
- DOI:
- 10.1111/sjos.12284
- 入藏编号:
- 126089814
- 出版者徽标: