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学者姓名：吴密霞
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摘要 ：
In this paper, an IPW-based robust estimator is developed for the spatial autoregressive model with response missing at random. Its consistency and asymptotical normality are proved and its finite-sample performance is investigated by simulations. (C) 2021 Elsevier B.V. All rights reserved.
关键词 ：
Autoregressive model Autoregressive model Instrumental variable Instrumental variable Missing data Missing data Propensity score Propensity score Spatial data Spatial data
引用：
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| GB/T 7714 | Luo, Guowang , Wu, Mixia , Xu, Liwen . IPW-based robust estimation of the SAR model with missing data [J]. | STATISTICS & PROBABILITY LETTERS , 2021 , 172 . |
| MLA | Luo, Guowang 等. "IPW-based robust estimation of the SAR model with missing data" . | STATISTICS & PROBABILITY LETTERS 172 (2021) . |
| APA | Luo, Guowang , Wu, Mixia , Xu, Liwen . IPW-based robust estimation of the SAR model with missing data . | STATISTICS & PROBABILITY LETTERS , 2021 , 172 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This paper investigates estimation of semiparametric varying-coefficient spatial autoregressive models in which the dependent variable is missing at random. An inverse propensity score weighted sieve two-stage least squares (S-2SLS) estimation with imputation is proposed. The proposed estimators are shown to be consistent, no matter the initial value is taken as the naive S-2SLS estimate or the naive nonlinear least squares estimate, and the asymptotic distribution of the latter is also derived. Simulation studies are carried out to investigate the performance of the proposed estimator. The method is finally exemplified with one real data set on Boston housing prices.
关键词 ：
Instrumental variable Instrumental variable Missing data Missing data Propensity score Propensity score Semi-parametric model Semi-parametric model Spatial data Spatial data
引用：
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| GB/T 7714 | Luo, Guowang , Wu, Mixia , Pang, Zhen . Estimation of semiparametric varying-coefficient spatial autoregressive models with missing in the dependent variable [J]. | JOURNAL OF THE KOREAN STATISTICAL SOCIETY , 2020 , 49 (4) : 1148-1172 . |
| MLA | Luo, Guowang 等. "Estimation of semiparametric varying-coefficient spatial autoregressive models with missing in the dependent variable" . | JOURNAL OF THE KOREAN STATISTICAL SOCIETY 49 . 4 (2020) : 1148-1172 . |
| APA | Luo, Guowang , Wu, Mixia , Pang, Zhen . Estimation of semiparametric varying-coefficient spatial autoregressive models with missing in the dependent variable . | JOURNAL OF THE KOREAN STATISTICAL SOCIETY , 2020 , 49 (4) , 1148-1172 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
In this article, we consider variable selection in semiparametric varying-coefficient spatial autoregressive models with a diverging number of parameters. With the nonparametric functions approximated by B-spline basis functions and combining 2SLS method with the SCAD penalty, we propose a variable selection procedure. Under mild conditions, we establish the consistency and oracle property of the resulting estimators for parameter components and consistency of the regularized estimator for nonparametric component. Some simulation studies are conducted to assess the finite sample performance of the proposed variable selection procedure, and the developed methodology is illustrated by an analysis of the Boston housing price data.
关键词 ：
instrumental variable instrumental variable Semiparametric varying-coefficient Semiparametric varying-coefficient spatial autoregressive spatial autoregressive variable selection variable selection
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| GB/T 7714 | Luo, Guowang , Wu, Mixia . Variable selection for semiparametric varying-coefficient spatial autoregressive models with a diverging number of parameters [J]. | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2019 , 50 (9) : 2062-2079 . |
| MLA | Luo, Guowang 等. "Variable selection for semiparametric varying-coefficient spatial autoregressive models with a diverging number of parameters" . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 50 . 9 (2019) : 2062-2079 . |
| APA | Luo, Guowang , Wu, Mixia . Variable selection for semiparametric varying-coefficient spatial autoregressive models with a diverging number of parameters . | COMMUNICATIONS IN STATISTICS-THEORY AND METHODS , 2019 , 50 (9) , 2062-2079 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
This article considers statistical inference for restricted semiparametric varying-coefficient spatial autoregressive(SVCSAR) models. We propose a restricted estimation method for parametric and nonparametric components, and a Lagrange-multiplier-type test for testing hypotheses on the parametric component restrictions of SVCSAR models. Under mild conditions, we obtain the asymptotic normality for the resulting estimator of the parametric vector and the optimal convergence rate for that of nonparametric functions. Simulation studies are carried out to investigate the finite sample performance of the proposed method. The method is exemplified with Boston housing price data.
关键词 ：
B-spline basis function B-spline basis function Instrumental variable Instrumental variable Restricted conditions Restricted conditions Semiparametric spatial autoregression Semiparametric spatial autoregression
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| GB/T 7714 | Luo, Guowang , Wu, Mixia . Statistical inference for semiparametric varying -coefficient spatial autoregressive models under restricted conditions [J]. | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION , 2019 . |
| MLA | Luo, Guowang 等. "Statistical inference for semiparametric varying -coefficient spatial autoregressive models under restricted conditions" . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION (2019) . |
| APA | Luo, Guowang , Wu, Mixia . Statistical inference for semiparametric varying -coefficient spatial autoregressive models under restricted conditions . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION , 2019 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
In this paper, plausibility functions and 100(1-alpha)% plausibility regions on location parameter and scale parameter of skew normal distributions are obtained in several cases by using inferential models (IMs), which are new methods of statistical inference. Simulation studies and one real data example are given for illustration of our results.
关键词 ：
Closed skew normal distribution Closed skew normal distribution Inferential model Inferential model Noncentral closed skew chi-square distribution Noncentral closed skew chi-square distribution Plausibility function Plausibility function Skew normal distribution Skew normal distribution
引用：
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| GB/T 7714 | Zhu, Xiaonan , Li, Baokun , Wu, Mixia et al. Plausibility Regions on Parameters of the Skew Normal Distribution Based on Inferential Models [C] . 2018 : 287-302 . |
| MLA | Zhu, Xiaonan et al. "Plausibility Regions on Parameters of the Skew Normal Distribution Based on Inferential Models" . (2018) : 287-302 . |
| APA | Zhu, Xiaonan , Li, Baokun , Wu, Mixia , Wang, Tonghui . Plausibility Regions on Parameters of the Skew Normal Distribution Based on Inferential Models . (2018) : 287-302 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Linear mixed effects models with general skew normal-symmetric (SNS) error are considered and several properties of the SNS distributions are obtained. Under the SNS settings, ANOVA-type estimates of variance components in the model are unbiased, the ANOVA-type F-tests are exact F-tests in SNS setting, and the exact confidence intervals for fixed effects are constructed. Also the power of ANOVA-type F-tests for components are free of the skewing function if the random effects normally distributed. For illustration of the main results, simulation studies on the robustness of the models are given by comparisons of multivariate skew-normal, multivariate skew normal-Laplace, multivariate skew normal-uniform, multivariate skew normal-symmetric, and multivariate normal distributed errors. A real example is provided for the illustration of the proposed method.
关键词 ：
ANOVA-type F-test ANOVA-type F-test mixed effect mixed effect Skew normal-symmetric (SNS) Skew normal-symmetric (SNS)
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| GB/T 7714 | Wu, Mixia , Tian, Ye , Liu, Aiyi . Robust inference in linear mixed model with skew normal-symmetric error [J]. | FRONTIERS OF MATHEMATICS IN CHINA , 2017 , 12 (6) : 1483-1500 . |
| MLA | Wu, Mixia et al. "Robust inference in linear mixed model with skew normal-symmetric error" . | FRONTIERS OF MATHEMATICS IN CHINA 12 . 6 (2017) : 1483-1500 . |
| APA | Wu, Mixia , Tian, Ye , Liu, Aiyi . Robust inference in linear mixed model with skew normal-symmetric error . | FRONTIERS OF MATHEMATICS IN CHINA , 2017 , 12 (6) , 1483-1500 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Linear mixed effect models with skew-normal errors and distribution-free random effects are considered. The ANOVA-type F-tests are proposed to test the significance of random effects and the hypothesis on fixed effects of interest, respectively. Both tests are proved to be exact F-tests under this model, and the exact confidence interval for fixed effects of interest is derived. Simulation results are given to study the powers of ANOVA-type tests.
关键词 ：
ANOVA-type estimator ANOVA-type estimator ANOVA-type F-test ANOVA-type F-test skew-normal error skew-normal error
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| GB/T 7714 | Wu Mixia , Zhao Jing , Wang Tonghui et al. The ANOVA-type inference in linear mixed model with skew-normal error [J]. | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY , 2017 , 30 (3) : 710-720 . |
| MLA | Wu Mixia et al. "The ANOVA-type inference in linear mixed model with skew-normal error" . | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 30 . 3 (2017) : 710-720 . |
| APA | Wu Mixia , Zhao Jing , Wang Tonghui , Zhao Yan . The ANOVA-type inference in linear mixed model with skew-normal error . | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY , 2017 , 30 (3) , 710-720 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The mixed-effects models are an important class of statistical models that are used in many fields of applications. For these models, we compare two estimators of the variance components, the analysis of variance (ANOVA) estimator and the spectral decomposition (SD) estimator. Based on the spectral decomposition of covariance matrix [A new method of spectral decomposition of covariance matrix in mixed effects models and its applications, Sci. China, Ser. A, 2005, 48: 1451-1464], we establish two sufficient conditions for the identity of ANOVA estimator and SD estimator, and present some corresponding statistical properties of ANOVA estimator and SD estimator. Applications of the methods to circular models and mixed analysis of variance models are discussed.
关键词 ：
Analysis of variance; Mixed-effects model; Spectral decomposition Analysis of variance; Mixed-effects model; Spectral decomposition
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| GB/T 7714 | Wu, M.X. , Zhao, Y. . Some sufficient conditions for the identity of ANOVA estimator and SD estimator in mixed-effects models [J]. | Acta Mathematica Sinica, Chinese Series , 2014 , 57 (3) : 615-624 . |
| MLA | Wu, M.X. et al. "Some sufficient conditions for the identity of ANOVA estimator and SD estimator in mixed-effects models" . | Acta Mathematica Sinica, Chinese Series 57 . 3 (2014) : 615-624 . |
| APA | Wu, M.X. , Zhao, Y. . Some sufficient conditions for the identity of ANOVA estimator and SD estimator in mixed-effects models . | Acta Mathematica Sinica, Chinese Series , 2014 , 57 (3) , 615-624 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
利用广义p值和广义置信区间的概念构造含有四个随机效应的Panel数据模型中方差分量的几种新的精确检验和置信区间,并讨论它们在尺度变换下的不变性.模拟结果表明,这种检验能很好地控制检验水平.
关键词 ：
广义p值 广义p值 广义置信区间 广义置信区间 方差分量 方差分量 随机效应 随机效应
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| GB/T 7714 | 赵静 , 程维虎 , 吴密霞 et al. Panel数据模型中方差分量的广义p值检验 [J]. | 高校应用数学学报A辑 , 2014 , 29 (2) : 171-179 . |
| MLA | 赵静 et al. "Panel数据模型中方差分量的广义p值检验" . | 高校应用数学学报A辑 29 . 2 (2014) : 171-179 . |
| APA | 赵静 , 程维虎 , 吴密霞 , 赵延 . Panel数据模型中方差分量的广义p值检验 . | 高校应用数学学报A辑 , 2014 , 29 (2) , 171-179 . |
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摘要 ：
混合效应模型是统计模型中非常重要的一类模型,广泛地应用到许多领域.本文比较了该模型下方差分量的两种估计:方差分析(ANOVA)估计和谱分解(SD)估计,借助吴密霞和王松桂[A new method of spectral decomposition of covariance matrix in mixed effects models and its applications,Sci.China,Ser.A,2005,48:1451-1464]协方差矩阵的谱分解结果,给出了ANOVA估计和SD估计相等的两个充分条件及其相应的统计性质,并将以上的结果应用于圆形部件数据模型和混合方差分析模型.
关键词 ：
方差分析 方差分析 混合效应模型 混合效应模型 谱分解 谱分解
引用：
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| GB/T 7714 | 吴密霞 , 赵延 . 混合效应模型下ANOVA估计和SD估计相等的充分条件 [J]. | 数学学报 , 2014 , 57 (3) : 615-624 . |
| MLA | 吴密霞 et al. "混合效应模型下ANOVA估计和SD估计相等的充分条件" . | 数学学报 57 . 3 (2014) : 615-624 . |
| APA | 吴密霞 , 赵延 . 混合效应模型下ANOVA估计和SD估计相等的充分条件 . | 数学学报 , 2014 , 57 (3) , 615-624 . |
| 导入链接 | NoteExpress RIS BibTex |
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