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| 1 | Simultaneous optimal estimates of fixed effects and variance components in the mixed model显示文摘For a general linear mixed model with two variance components, a set of simple conditions is obtained, under which, (i) the least squares estimate of the fixed effects and the analysis of variance (ANOVA) estimates of variance components are proved to be uniformly minimum variance unbiased estimates simultaneously; (ii) the exact confidence intervals of the fixed effects and uniformly optimal unbiased tests on variance components are given; (iii) the exact probability expression of ANOVA estimates of variance components taking negative value is obtained. | WU Mixia WANG Songgui | 2004 | Science China Mathematics2004，47，5： | 6 |
| 2 | A new method of spectral decomposition of covariance matrix in mixed effects models and its applications显示文摘For the mixed effects models with balanced data, a new ordering of design matrices of random effects is defined, and then a simple formula of the spectral decomposition of covariance matrix is obtained. To compare with the two methods in literature,the decomposition can not only give the actual number of all distinct eigenvalues and their expression, but also show clearly the relationship between the design matrices of random effects and the decomposition. These results can be applied to the problems for testifying the analysis of the variance estimate being a minimum variance unbiased under all random effects models and some mixed effects models with balanced data, for finding the explicit solution of maximum likelihood equations for the general mixed effects model and for showing the relationship between the spectral decomposition estimate and the analysis of variance estimate. | WU Mixia WANG Songgui | 2005 | Science China Mathematics2005，48，11： | 4 |
| 3 | Empirical Likelihood Inference for the Semiparametric Varying-Coefficient Spatial Autoregressive Model显示文摘In this paper empirical likelihood(EL)-based inference for a semiparametric varyingcoefficient spatial autoregressive model is investigated.The maximum EL estimators for the parametric component and the nonparametric component are established.Furthermore,asymptotic properties of the proposed estimators and EL ratios are derived,and the corresponding confidence regions/bands are constructed.Their finite sample performances are studied via simulation and an example. | LUO Guowang WU Mixia PANG Zhen | 2021 | Journal of Systems Science & Complexity2021，34，6： | 1 |
| 4 | The ANOVA-Type Inference in Linear Mixed Model with Skew-Normal Error显示文摘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. | WU Mixia ZHAO Jing WANG Tonghui ZHAO Yan | 2017 | Journal of Systems Science & Complexity2017，30，3： | 1 |
| 5 | Robust inference in linear mixed model with skew normal-symmetric error显示文摘 | Mixia WU Ye TIAN Aiyi LIU | 2017 | Frontiers of Mathematics in China2017，12，6： | 1 |
| 6 | Recent advances and research progress on microsystems and bioeffects of terahertz neuromodulation显示文摘Terahertz waves can interact with the nervous system of organisms under certain conditions.Compared to common optical modulation methods,terahertz waves have the advantages of low photon energy and low risk;therefore,the use of terahertz waves to regulate the nervous system is a promising new method of neuromodulation.However,most of the research has focused on the use of terahertz technology for biodetection,while relatively little research has been carried out on the biological effects of terahertz radiation on the nervous system,and there are almost no review papers on this topic.In the present article,we begin by reviewing principles and objects of research regarding the biological effects of terahertz radiation and summarizing the current state of related research from a variety of aspects,including the bioeffects of terahertz radiation on neurons in vivo and in vitro,novel regulation and detection methods with terahertz radiation devices and neural microelectrode arrays,and theoretical simulations of neural information encoding and decoding.In addition,we discuss the main problems and their possible causes and give some recommendations on possible future breakthroughs.This paper will provide insight and assistance to researchers in the fields of neuroscience,terahertz technology and biomedicine. | Meiting Liu Juntao Liu Wei Liang Botao Lu Penghui Fan Yilin Song Mixia Wang Yirong Wu Xinxia Cai | 2023 | Microsystems & Nanoengineering2023，9，6： | 0 |
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