Zhang, Lixia; Song, Xuguang Ultrahigh dimensional single index model estimation via refitted cross-validation. (English) Zbl 07880519 Commun. Stat., Theory Methods 53, No. 12, 4369-4394 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Song, Yunquan; Su, Hang; Zhan, Minmin Local Walsh-average-based estimation and variable selection for spatial single-index autoregressive models. (English) Zbl 07878206 Netw. Spat. Econ. 24, No. 2, 313-339 (2024). MSC: 62Gxx 62Jxx 62Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Xiaohui; Wang, Yue; Wang, Yiming; Liu, Tianqing Variable selection for single-index models based on martingale difference divergence. (English) Zbl 07858467 J. Korean Stat. Soc. 53, No. 1, 42-64 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jhong, Jae-Hwan; Kim, Jae-Young; Lee, Jae-Deok; Koo, Ja-Yong Locally penalized single-index model using B-splines and spherical coordinates. (English) Zbl 07854492 Commun. Stat., Simulation Comput. 53, No. 1, 273-287 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Zhenghui; Zhang, Jun; Yang, Baojun Average derivation estimation with multiplicative distortion measurement errors. (English) Zbl 07854477 Commun. Stat., Simulation Comput. 53, No. 1, 30-61 (2024). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun Partial linear additive distortion measurement errors models. (English) Zbl 07772195 Commun. Stat., Theory Methods 53, No. 1, 232-259 (2024). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ng, Hoi Min; Jiang, Binyan; Wong, Kin Yau Penalized estimation of a class of single-index varying-coefficient models for integrative genomic analysis. (English) Zbl 1531.62080 Biom. J. 65, No. 1, Article ID 2100139, 15 p. (2023). MSC: 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Lin, Bingqing Estimation of correlation coefficient with general distortion measurement errors. (English) Zbl 07773977 Commun. Stat., Simulation Comput. 52, No. 9, 4491-4521 (2023). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Jun; Liu, Wanrong; Yang, Jing; Fang, Jianglin Local Walsh-average regression for single index varying coefficient models. (English) Zbl 07767126 Commun. Stat., Theory Methods 52, No. 23, 8306-8316 (2023). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Shunjie; Zhao, Mingtao; Cui, Yuehua Variable selection for single-index varying-coefficients models with applications to synergistic \(\mathrm{G} \times \mathrm{E}\) interactions. (English) Zbl 07662463 Electron. J. Stat. 17, No. 1, 823-857 (2023). MSC: 62J99 60K35 62P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhao, Yang; Yue, Lili; Li, Gaorong Robust MAVE for single-index varying-coefficient models. (English) Zbl 07643164 J. Korean Stat. Soc. 51, No. 4, 1302-1325 (2022); correction ibid. 51, No. 4, 1326 (2022). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Gai, Yujie; Zhang, Jun Single-index relative error regression models. (English) Zbl 07545862 Commun. Stat., Simulation Comput. 51, No. 5, 2252-2267 (2022). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Gai, Yujie; Wei, Yusheng; Zhang, Jun; Chen, Aixian Measuring the symmetry of model errors for varying coefficient regression models based on correlation coefficient. (English) Zbl 07545861 Commun. Stat., Simulation Comput. 51, No. 5, 2235-2251 (2022). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Feng, Sanying; Gai, Yujie Partial index additive models with additive distortion measurement errors. (English) Zbl 07545859 Commun. Stat., Simulation Comput. 51, No. 5, 2191-2216 (2022). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yang; Xue, Liugen; Feng, Sanying Estimation for a partially linear single-index varying-coefficient model. (English) Zbl 1524.62198 Commun. Stat., Simulation Comput. 51, No. 4, 1685-1703 (2022). MSC: 62G08 62G05 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Gai, Yujie; Zhu, Xuehu; Zhang, Jun Testing symmetry of model errors for nonparametric regression models by using correlation coefficient. (English) Zbl 1524.62176 Commun. Stat., Simulation Comput. 51, No. 4, 1436-1453 (2022). MSC: 62G08 62G05 62G10 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Gai, Yujie; Zhang, Jun Detection of the symmetry of model errors for partial linear single-index models. (English) Zbl 1489.62125 Commun. Stat., Simulation Comput. 51, No. 6, 3410-3427 (2022). MSC: 62G08 62G05 62G20 62G10 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yang; Feng, Sanying Robust estimation for partial linear single-index models. (English) Zbl 07476220 J. Nonparametric Stat. 34, No. 1, 228-249 (2022). MSC: 62Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Lian, Heng; Qiao, Xinghao; Zhang, Wenyang Homogeneity pursuit in single index models based panel data analysis. (English) Zbl 07925214 J. Bus. Econ. Stat. 39, No. 2, 386-401 (2021). MSC: 62P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jun Model checking for multiplicative linear regression models with mixed estimators. (English) Zbl 07801606 Stat. Neerl. 75, No. 3, 364-403 (2021). MSC: 62Gxx 62Jxx 62Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Gai, Yujie; Lin, Bingqing Detection of marginal heteroscedasticity for partial linear single-index models. (English) Zbl 1489.62136 Commun. Stat., Simulation Comput. 50, No. 3, 724-743 (2021). MSC: 62G08 62G05 62J05 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Cun; Sun, Xiaofei; Gao, Wenliang Estimation and variable selection for a class of quantile regression models with multiple index. (English) Zbl 07532113 Commun. Stat., Theory Methods 50, No. 1, 180-202 (2021). MSC: 62G05 62E20 62J02 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Yuan; Xiao, Luo; Chi, Eric C. Sparse single index models for multivariate responses. (English) Zbl 07499886 J. Comput. Graph. Stat. 30, No. 1, 115-124 (2021). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Jun Estimation and variable selection for partial linear single-index distortion measurement errors models. (English) Zbl 1477.62105 Stat. Pap. 62, No. 2, 887-913 (2021). MSC: 62G08 62G05 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yan-Yong; Zhao, Jian-Qiang; Qian, Su-An A new test for heteroscedasticity in single-index models. (English) Zbl 1448.62055 J. Comput. Appl. Math. 381, Article ID 112993, 15 p. (2021). MSC: 62G10 62G08 62P30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Niu, Cuizhen; Lu, Tao; Wei, Zhenghong Estimation of the error distribution function for partial linear single-index models. (English) Zbl 1531.62027 Commun. Stat., Simulation Comput. 49, No. 1, 29-44 (2020). MSC: 62G08 62G05 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tizheng; Guo, Yue Penalized profile quasi-maximum likelihood method of partially linear spatial autoregressive model. (English) Zbl 07480199 J. Stat. Comput. Simulation 90, No. 15, 2705-2740 (2020). MSC: 91B72 62G05 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tizheng; Yin, Qingyan; Peng, Jialong Variable selection of partially linear varying coefficient spatial autoregressive model. (English) Zbl 07480198 J. Stat. Comput. Simulation 90, No. 15, 2681-2704 (2020). MSC: 91B72 62G05 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Roy, Arkaprava; Ghosal, Subhashis; Choudhury, Kingshuk Roy High dimensional single-index Bayesian modeling of brain atrophy. (English) Zbl 1480.62223 Bayesian Anal. 15, No. 4, 1229-1249 (2020). MSC: 62P10 62H12 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Neykov, Matey; Wang, Zhaoran; Liu, Han Agnostic estimation for phase retrieval. (English) Zbl 1510.94058 J. Mach. Learn. Res. 21, Paper No. 121, 39 p. (2020). MSC: 94A12 62C20 62H20 × Cite Format Result Cite Review PDF Full Text: Link
Zhang, Jun; Cui, Xia; Peng, Heng Estimation and hypothesis test for partial linear single-index multiplicative models. (English) Zbl 1456.62063 Ann. Inst. Stat. Math. 72, No. 3, 699-740 (2020). Reviewer: Oleksandr Kukush (Kyïv) MSC: 62G07 62G10 62J05 62P10 62P25 × Cite Format Result Cite Review PDF Full Text: DOI
Kuchibhotla, Arun K.; Patra, Rohit K. Efficient estimation in single index models through smoothing splines. (English) Zbl 1466.62295 Bernoulli 26, No. 2, 1587-1618 (2020). MSC: 62G08 62G05 62F12 62P12 62P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Yang, Jing; Tian, Guoliang; Lu, Fang; Lu, Xuewen Single-index modal regression via outer product gradients. (English) Zbl 1504.62057 Comput. Stat. Data Anal. 144, Article ID 106867, 14 p. (2020). MSC: 62G08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Gai, Yujie; Lin, Bingqing; Zhu, Xuehu Nonlinear regression models with single-index heteroscedasticity. (English) Zbl 07788779 Stat. Neerl. 73, No. 2, 292-316 (2019). MSC: 62Gxx 62Jxx 62Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Yang; Zou, Zhihong; Wang, Shanshan; Meyer, Renate Bayesian nonparametric modelling of the link function in the single-index model using a Bernstein-Dirichlet process prior. (English) Zbl 1535.62022 J. Stat. Comput. Simulation 89, No. 17, 3290-3312 (2019). MSC: 62G08 62F15 62G07 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huilan; Yang, Hu; Peng, Changgen Weighted composite quantile regression for single index model with missing covariates at random. (English) Zbl 1505.62251 Comput. Stat. 34, No. 4, 1711-1740 (2019). MSC: 62-08 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jing; Lu, Fang; Yang, Hu Local Walsh-average-based estimation and variable selection for single-index models. (English) Zbl 1454.62138 Sci. China, Math. 62, No. 10, 1977-1996 (2019). Reviewer: Joseph Melamed (Los Angeles) MSC: 62G20 62H12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Zhu, Junpeng; Feng, Zhenghui Estimation and hypothesis test for single-index multiplicative models. (English) Zbl 1420.62154 Test 28, No. 1, 242-268 (2019). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Neykov, Matey Isotonic regression meets Lasso. (English) Zbl 1417.62089 Electron. J. Stat. 13, No. 1, 710-746 (2019). Reviewer: Fabio Rapallo (Alessandria) MSC: 62G08 62J07 62G20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zhang, Jun; Niu, Cuizhen; Li, Gaorong Exploring the constant coefficient of a single-index variation. (English) Zbl 1414.62139 Braz. J. Probab. Stat. 33, No. 1, 57-86 (2019). MSC: 62G08 62G10 62E20 62G09 62G20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zhang, Junhua; Lin, Bingqing; Zhou, Yan; Zhang, Jun Dimension reduction regressions with measurement errors subject to additive distortion. (English) Zbl 07192679 J. Stat. Comput. Simulation 88, No. 13, 2631-2649 (2018). MSC: 62G05 62G08 62G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zhang, Jun; He, Baohua; Lu, Tao; Wen, Songqiao Dimension reduction based on conditional multiple index density function. (English) Zbl 1404.62036 Braz. J. Probab. Stat. 32, No. 4, 851-872 (2018). MSC: 62G07 62G08 62G20 62P30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zhang, Jun; Feng, Zhenghui; Wang, Xiaoguang A constructive hypothesis test for the single-index models with two groups. (English) Zbl 1407.62145 Ann. Inst. Stat. Math. 70, No. 5, 1077-1114 (2018). Reviewer: Fabio Rapallo (Alessandria) MSC: 62G08 62G10 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huilan; Yang, Hu Estimation and variable selection in single-index composite quantile regression. (English) Zbl 1385.62013 Commun. Stat., Simulation Comput. 46, No. 9, 7022-7039 (2017). MSC: 62G08 62J07 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Feng, Zhenghui Partial linear single-index models with additive distortion measurement errors. (English) Zbl 1384.62143 Commun. Stat., Theory Methods 46, No. 24, 12165-12193 (2017). MSC: 62G08 62G05 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jianbo; Li, Yuan; Zhang, Riquan B spline variable selection for the single index models. (English) Zbl 1416.62219 Stat. Pap. 58, No. 3, 691-706 (2017). MSC: 62G08 62J07 62H12 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Chen, Qian; Lin, Bingqing; Zhou, Yan On the single-index model estimate of the conditional density function: consistency and implementation. (English) Zbl 1391.62096 J. Stat. Plann. Inference 187, 56-66 (2017). MSC: 62H12 62G07 62G20 62H15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kangning; Lin, Lu Robust and efficient direction identification for groupwise additive multiple-index models and its applications. (English) Zbl 1422.62133 Test 26, No. 1, 22-45 (2017). MSC: 62G05 62E20 62J02 × Cite Format Result Cite Review PDF Full Text: DOI
Birke, Melanie; van Bellegem, Sebastien; van Keilegom, Ingrid Semi-parametric estimation in a single-index model with endogenous variables. (English) Zbl 1361.62019 Scand. J. Stat. 44, No. 1, 168-191 (2017). MSC: 62G08 62F12 62G07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Luo, Shikai; Ghosal, Subhashis Forward selection and estimation in high dimensional single index models. (English) Zbl 1487.62036 Stat. Methodol. 33, 172-179 (2016). MSC: 62G08 62H12 62J07 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Chaohui; Yang, Hu; Lv, Jing; Wu, Jibo Joint estimation for single index mean-covariance models with longitudinal data. (English) Zbl 1351.62071 J. Korean Stat. Soc. 45, No. 4, 526-543 (2016). MSC: 62F10 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hu; Lv, Jing; Guo, Chaohui Penalized LAD regression for single-index models. (English) Zbl 1345.62105 Commun. Stat., Simulation Comput. 45, No. 7, 2392-2408 (2016). MSC: 62J07 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tingting; Yang, Hu Inverse probability weighted estimators for single-index models with missing covariates. (English) Zbl 1381.62237 Commun. Stat., Theory Methods 45, No. 5, 1199-1214 (2016). MSC: 62J12 62D05 62F12 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kangning Robust direction identification and variable selection in high dimensional general single-index models. (English) Zbl 1327.62229 J. Korean Stat. Soc. 44, No. 4, 606-618 (2015). MSC: 62G05 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Fei; Ma, Yanyuan; Wang, Yuanjia Fused kernel-spline smoothing for repeatedly measured outcomes in a generalized partially linear model with functional single index. (English) Zbl 1327.62214 Ann. Stat. 43, No. 5, 1929-1958 (2015). MSC: 62G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Radchenko, Peter High dimensional single index models. (English) Zbl 1328.62482 J. Multivariate Anal. 139, 266-282 (2015). MSC: 62J20 62J07 62F12 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Sanying; Xue, Liugen Model detection and estimation for single-index varying coefficient model. (English) Zbl 1328.62205 J. Multivariate Anal. 139, 227-244 (2015). MSC: 62G05 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guannan; Wang, Li Spline estimation and variable selection for single-index prediction models with diverging number of index parameters. (English) Zbl 1314.62103 J. Stat. Plann. Inference 162, 1-19 (2015). MSC: 62G08 62G35 41A15 62P12 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Tao; Xu, Peirong; Zhu, Lixing Variable selection and estimation for semi-parametric multiple-index models. (English) Zbl 1388.62116 Bernoulli 21, No. 1, 242-275 (2015). MSC: 62G08 62J07 62G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Lv, Yazhao; Zhang, Riquan; Zhao, Weihua; Liu, Jicai Quantile regression and variable selection for the single-index model. (English) Zbl 1514.62727 J. Appl. Stat. 41, No. 7, 1565-1577 (2014). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Baisuo; Dong, Cuiling; Tan, Changchun; Miao, Baiqi Estimator of a change point in single index models. (English) Zbl 1418.62074 Sci. China, Math. 57, No. 8, 1701-1712 (2014). MSC: 62F12 62G20 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Hu; Yang, Jing The adaptive L1-penalized LAD regression for partially linear single-index models. (English) Zbl 1288.62065 J. Stat. Plann. Inference 151-152, 73-89 (2014). MSC: 62G08 62J05 62F12 65C05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kangning; Lin, Lu New efficient estimation and variable selection in models with single-index structure. (English) Zbl 1287.62004 Stat. Probab. Lett. 89, 58-64 (2014). MSC: 62G08 62H12 62J02 65C60 × Cite Format Result Cite Review PDF Full Text: DOI