研究领域：

半参数模型统计推断 

复杂数据统计分析 

高维数据降维

科研成果：

主持和主要参与项目： 

1、主持江苏省高校自然科学基金项目：缺失数据下的半参数模型变量选择方法研究（12KJB110016），2012.9-2014.12。

2、主持国家自然科学基金项目：半参数模型的估计有效性问题的研究（11226222），2013.1-2013.12。 

3、参与江苏省自然科学基金项目：对称分布族下含测量误差的复杂数据建模和稳健诊断研究（BK2012459），2012.9-2015.12。 

4、主持国家自然科学基金项目：基于变系数半参数模型的高维数据统计分析（11301279），2014.1-2016.12。 

5、参与江苏省自然科学青年基金项目：超高维数据下带右删失的变系数模型统计推断（BK20140983），2014.9-2017.9。

6、主持江苏省自然科学基金面上项目：超高维不完全数据下的统计降维研究（BK20161530），2016.7-2019.6。

7、主持国家自然科学基金面上项目： 超高维复杂数据统计降维研究（11771215），2018.1-2021.12。

主要论文成果：

Xia Wenjun, Su Liwen and Lai Peng. Detection and prediction of active ingredients in fingerprints of traditional Chinese medicine from a high-dimensional perspective. JOURNAL OF CHEMOMETRICS, 2021, 35(7), 1-15.

Lai Peng, Chen Yuanxing, Zhang Jie, Dai Bingying and Zhang Qingzhao. Robust model-free feature screening for ultrahigh dimensional surrogate data. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2020, 90(3), 550-569. 

Lai Peng, Liang Weijuan, Wang Fangjian and Zhang Qingzhao. Feature screening of quadratic inference functions for ultrahigh dimensional longitudinal data, JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2020, 90(14), 2614-2630. 

Lai Peng, Wang Fangjian, Zhu Tingyu and Zhang Qingzhao. Model identification and selection for single index varying coefficient models. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS. 2021, 73(3), 457-480.

Lai Peng,  Song Fengli  and  Gao Yufei.  Stable feature screening for ultrahigh dimensional data .   Journal of the Korean Statistical Society . 2019. 48, 221-232. 

Song Fengli,  Lai Peng, Shen Baohua and  Cheng Guosheng.  Variance ratio screening for ultrahigh dimensional discriminant analysis.   Communications in Statistics - Theory and Methods . 2018. 47, 6034-6051. 

Li Xingxiang, Cheng Guosheng, Wang Liming, Lai Peng and Song Fengli. Ultrahigh dimensional feature screening via projection. Computational Statistics and Data Analysis. 2017. 114, 88-104. 

Lai Peng, Song Fengli, Chen Kaiwen, and Liu Zhi. Model free feature screening with dependent variable in ultrahigh dimensional binary classification. Statistics and Probability Letters. 2017, 125, 141-148.

Cheng Guosheng, Li Xingxiang, Lai Peng, Song Fengli and Yu Jun. Robust rank screening for ultrahigh dimensional discriminant analysis. Statistics & Computing. 2017, 27, 535-545.

Lai Peng, Liu Yiming, Liu Zhi and Wan Yi. Model free feature screening for ultrahigh dimensional data with responses missing at random. Computational Statistics and Data Analysis. 2017. 105, 201-216. 

 

Lai Peng, Zhang Qingzhao, Lian Heng and Wang Qihua. Efficient estimation for the heteroscedastic single-index varying coefficient models. Statistics and Probability Letters. 2016. 110, 84-93.

Zhao Weihua, Lian Heng, Zhang Riquan and Lai Peng. Estimation and variable selection for proportional response data with partially linear single-index models. Computational Statistics and Data Analysis. 2016. 96, 40-56. 

Li Gaorong, Lai Peng and Lian Heng. Variable selection and estimation for partially linear single-index models with longitudinal data. Statistics and Computing. 2015. 25(3), 579-593. 

Li Gaorong, Lian Heng, Lai Peng and Peng Heng. Variable Selection for Fixed Effects Varying Coefficient Models. Acta Mathematica Sinica, English Series. 2015. 31(1), 91-110. 

Lai Peng, Meng Jie and Lian Heng. Polynomial spline approach for variable selection and estimation in varying coefficient models for time series data. Statistics and Probability Letters. 2015. 96(1), 21-27. 

Lai Peng and Wang Qihua. Semiparametric efficient estimation for partially linear single-index models with responses missing at random.  Journal of Multivariate Analysis. 2014, 128 (1), 33-50. 

Lai Peng, Wang Qihua and Zhou Xiaohua. Variable selection and semiparametric efficient estimation for the heteroscedastic partially linear single-index model. Computational Statistics and Data Analysis. 2014, 70, 241-256. 

Lai Peng, Tian Ye and Lian Heng. Estimation and variable selection for generalized partially linear single-index models. Journal of Nonparametric Statistics. 2014, 26(1), 171-185.  

Lai Peng, Li Gaorong and Lian Heng. Quadratic inference functions for partially linear single-index models with longitudinal data. Journal of Multivariate Analysis. 2013, 118(1), 115-127. 

Lai Peng, Li Gaorong and Lian Heng. Semiparametric Estimation of Fixed Effects Panel Data Single-index Model. Statistics and Probability Letters. 2013. 83(6), 1595-1602. 

Wang Lichun, Lai Peng, Lian Heng. Polynomial spline estimation for generalized varying coefficient partially linear models with a diverging number of components. Metrika. 2013, 1083-1103.

Lian Heng, Lai Peng and Liang Hua. Partially linear structure selection in Cox models with varying coefficients. Biometrics. 2013. 69(2), 348-357.

Lai Peng. Variable selection for partially linear single-index model with responses missing at random. Journal of Computational Information Systems. 2013. 9(3), 1229-1236. 

Lai Peng, Wang Qihua and Lian Heng. Bias-corrected GEE estimation and smooth-threshold GEE variable selection for single-index models with clustered data. Journal of Multivariate Analysis. 2012, 105 (1), 422-432. 

Lai Peng and Guo Shuai. Variable selection for partially liear single-index model. Journal of Computational Information Systems. 2012, 8 (14), 5917-5924.  

Wang Qihua and Lai Peng. Empirical likelihood calibration estimation for the median treatment difference in observational studies. Computational Statistics and Data Analysis. 2011, 55 (4), 1596-1609. 

Lai Peng and Wang Qihua. Partially linear single-index model with missing responses at random, Journal of Statistical Planning and Inference. 2011, 141 (2), 1047-1058.

Wang Qihua, Yao, Lili and Lai Peng. Estimation of the area under ROC curve with censored data. Journal of Statistical Planning and Inference. 2009, 139 (3), 1033-1044.