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学者姓名：吴密霞
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Abstract ：
The rank-tracking probability (RTP) is a useful statistical index for measuring the "tracking ability" of longitudinal disease risk factors in biomedical studies. A flexible nonparametric method for estimating the RTP is the two-step unstructured kernel smoothing estimator, which can be applied when there are time-invariant and categorical covariates. We propose a dynamic copula-based smoothing method for estimating the RTP, and show that it is both theoretically and practically superior to the unstructured smoothing method. We derive the asymptotic mean squared errors of the copula-based kernel smoothing estimators, and use a simulation study to show that the proposed method has smaller empirical mean squared errors than those of the unstructured smoothing method. We apply the proposed estimation method to a longitudinal epidemiological study and show that it leads to clinically meaningful findings in biomedical applications.
Keyword ：
rank-tracking probability rank-tracking probability risk factor risk factor unstructured smoothing unstructured smoothing two-step smoothing two-step smoothing longitudinal study longitudinal study Dynamic copula model Dynamic copula model
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| GB/T 7714 | Zhang, Xiaoyu , Wu, Mixia , Wu, Colin O. . DYNAMIC COPULA-BASED NONPARAMETRIC ESTIMATION OF RANK-TRACKING PROBABILITIES WITH LONGITUDINAL DATA [J]. | STATISTICA SINICA , 2024 , 34 (2) : 889-909 . |
| MLA | Zhang, Xiaoyu 等. "DYNAMIC COPULA-BASED NONPARAMETRIC ESTIMATION OF RANK-TRACKING PROBABILITIES WITH LONGITUDINAL DATA" . | STATISTICA SINICA 34 . 2 (2024) : 889-909 . |
| APA | Zhang, Xiaoyu , Wu, Mixia , Wu, Colin O. . DYNAMIC COPULA-BASED NONPARAMETRIC ESTIMATION OF RANK-TRACKING PROBABILITIES WITH LONGITUDINAL DATA . | STATISTICA SINICA , 2024 , 34 (2) , 889-909 . |
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Abstract ：
Model checking is essential for making reliable statistical inferences. For massive datasets, we develop a new distributed method for testing parametric single-index models by integrating the divide and conquer strategy into the dimension reduction model-adaptive (DRMA) test. A distributed method for the determination of the struc-tural dimension is also proposed. The asymptotic behaviors of the proposed test statistic under the null and alternative model are derived, which shows that the proposed test has the same limiting behavior of the DRMA test based on the entire dataset. In addition, the proposed test achieves adaptive rate-optimality using the sample-splitting strategy for selecting bandwidth. Our simulation results and a data illustration demonstrate that the proposed test performs better than the existing tests for massive datasets, especially when the dimension of covariates is large.(c) 2023 Elsevier B.V. All rights reserved.
Keyword ：
Massive datasets Massive datasets Model checking Model checking Dimension reduction Dimension reduction
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| GB/T 7714 | Yang, Xin , Yan, Qijing , Wu, Mixia . Model checking for parametric single-index models with massive datasets [J]. | JOURNAL OF STATISTICAL PLANNING AND INFERENCE , 2023 , 227 : 129-145 . |
| MLA | Yang, Xin 等. "Model checking for parametric single-index models with massive datasets" . | JOURNAL OF STATISTICAL PLANNING AND INFERENCE 227 (2023) : 129-145 . |
| APA | Yang, Xin , Yan, Qijing , Wu, Mixia . Model checking for parametric single-index models with massive datasets . | JOURNAL OF STATISTICAL PLANNING AND INFERENCE , 2023 , 227 , 129-145 . |
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Abstract ：
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.
Keyword ：
Spatial data Spatial data Propensity score Propensity score Autoregressive model Autoregressive model Missing data Missing data Instrumental variable Instrumental variable
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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 . |
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Abstract ：
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.
Keyword ：
Semi-parametric model Semi-parametric model Spatial data Spatial data Propensity score Propensity score Instrumental variable Instrumental variable Missing data Missing data
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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 . |
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Abstract ：
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.
Keyword ：
Restricted conditions Restricted conditions Semiparametric spatial autoregression Semiparametric spatial autoregression Instrumental variable Instrumental variable B-spline basis function B-spline basis function
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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 , 51 (5) : 2268-2286 . |
| MLA | Luo, Guowang 等. "Statistical inference for semiparametric varying -coefficient spatial autoregressive models under restricted conditions" . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION 51 . 5 (2019) : 2268-2286 . |
| APA | Luo, Guowang , Wu, Mixia . Statistical inference for semiparametric varying -coefficient spatial autoregressive models under restricted conditions . | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION , 2019 , 51 (5) , 2268-2286 . |
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Abstract ：
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.
Keyword ：
spatial autoregressive spatial autoregressive variable selection variable selection Semiparametric varying-coefficient Semiparametric varying-coefficient instrumental variable instrumental variable
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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 . |
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Abstract ：
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.
Keyword ：
Plausibility function Plausibility function Inferential model Inferential model Closed skew normal distribution Closed skew normal distribution Noncentral closed skew chi-square distribution Noncentral closed skew chi-square distribution Skew normal distribution Skew normal distribution
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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 . |
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Abstract ：
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.
Keyword ：
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 . |
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Abstract ：
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.
Keyword ：
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 . |
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Abstract ：
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.
Keyword ：
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 . |
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