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Journal of Nonparametric Statistics Volume 28, 2016 - Issue 4
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Original Articles

Classical testing in functional linear models

Dehan KongDepartment of Biostatistics, University of North Carolina, Chapel Hill, NC, USACorrespondence[email protected]
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,
Ana-Maria StaicuDepartment of Statistics, North Carolina State University, Raleigh, NCUSAView further author information
&
Arnab MaityDepartment of Statistics, North Carolina State University, Raleigh, NCUSAView further author information
Pages 813-838 | Received 11 May 2015, Accepted 09 Jul 2016, Published online: 20 Sep 2016

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Yan Zhang & Yuehua Wu. (2023) Robust hypothesis testing in functional linear models. Journal of Statistical Computation and Simulation 93:15, pages 2563-2581.
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Ting Li, Tengfei Li, Zhongyi Zhu & Hongtu Zhu. (2022) Regression Analysis of Asynchronous Longitudinal Functional and Scalar Data. Journal of the American Statistical Association 117:539, pages 1228-1242.
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Xiaofei Xu, Ying Chen, Ge Zhang & Thorsten Koch. (2022) Modeling Functional Time Series and Mixed-Type Predictors With Partially Functional Autoregressions. Journal of Business & Economic Statistics 0:0, pages 1-18.
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Qian Li, Xiangyong Tan & Liming Wang. (2021) Testing for error correlation in partially functional linear regression models. Communications in Statistics - Theory and Methods 50:3, pages 747-761.
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Mingao Yuan & Yue Zhang. (2021) Test for the parametric part in partial functional linear regression based on B-spline. Communications in Statistics - Simulation and Computation 50:1, pages 1-15.
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Ruiyan Luo & Xin Qi. (2019) Interaction Model and Model Selection for Function-on-Function Regression. Journal of Computational and Graphical Statistics 28:2, pages 309-322.
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Łukasz Smaga & Jin-Ting Zhang. (2019) Linear Hypothesis Testing With Functional Data. Technometrics 61:1, pages 99-110.
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Ruiping Liu, Huiwen Wang & Shanshan Wang. (2018) Functional variable selection via Gram–Schmidt orthogonalization for multiple functional linear regression. Journal of Statistical Computation and Simulation 88:18, pages 3664-3680.
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Articles from other publishers (29)

Holger Dette & Jiajun Tang. (2024) Statistical inference for function-on-function linear regression. Bernoulli 30:1.
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Roland Meeks & Francesca Monti. (2023) Heterogeneous beliefs and the Phillips curve. Journal of Monetary Economics 139, pages 41-54.
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Omid Khademnoe & S. Mohammad E. Hosseini-Nasab. (2023) On the validity of the bootstrap hypothesis testing in functional linear regression. Statistical Papers.
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Haotian Zou, Luo Xiao, Donglin Zeng & Sheng Luo. (2023) Multivariate functional mixed model with MRI data: An application to Alzheimer's disease. Statistics in Medicine 42:10, pages 1492-1511.
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Wu Wang, Ying Sun & Huixia Judy Wang. (2021) Latent group detection in functional partially linear regression models. Biometrics 79:1, pages 280-291.
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Menghan Yi, Zaixing Li & Yanlin Tang. (2022) F‐type testing in functional linear models. Stat 11:1.
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Rahul Ghosal, Vijay R. Varma, Dmitri Volfson, Jacek Urbanek, Jeffrey M. Hausdorff, Amber Watts & Vadim Zipunnikov. (2022) Scalar on time-by-distribution regression and its application for modelling associations between daily-living physical activity and cognitive functions in Alzheimer’s Disease. Scientific Reports 12:1.
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Meng Li, Kehui Wang, Arnab Maity & Ana-Maria Staicu. (2022) Inference in functional linear quantile regression. Journal of Multivariate Analysis 190, pages 104985.
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Wenchao Xu, Hongmei Lin, Riquan Zhang & Hua Liang. (2022) Two-sample functional linear models with functional responses. Journal of Statistical Planning and Inference 218, pages 85-105.
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Jianjun Xu & Wenquan Cui. (2022) A new RKHS-based global testing for functional linear model. Statistics & Probability Letters 182, pages 109277.
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Hanbing Zhu, Yehua Li, Baisen Liu, Weixin Yao & Riquan Zhang. (2021) Extreme quantile estimation for partial functional linear regression models with heavy‐tailed distributions. Canadian Journal of Statistics 50:1, pages 267-286.
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Tim Kutta, Gauthier Dierickx & Holger Dette. (2022) Statistical inference for the slope parameter in functional linear regression. Electronic Journal of Statistics 16:2.
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Wanying Ma, Luo Xiao, Bowen Liu & Martin A Lindquist. (2021) A functional mixed model for scalar on function regression with application to a functional MRI study. Biostatistics 22:3, pages 439-454.
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Sneha Jadhav & Shuangge Ma. (2021) An association test for functional data based on Kendall’s Tau. Journal of Multivariate Analysis 184, pages 104740.
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Eduardo García‐Portugués, Javier Álvarez‐Liébana, Gonzalo Álvarez‐Pérez & Wenceslao González‐Manteiga. (2020) A goodness‐of‐fit test for the functional linear model with functional response. Scandinavian Journal of Statistics 48:2, pages 502-528.
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Ting Li, Xinyuan Song, Yingying Zhang, Hongtu Zhu & Zhongyi Zhu. (2021) Clusterwise functional linear regression models. Computational Statistics & Data Analysis 158, pages 107192.
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Ruiyuan Cao, Tianfa Xie & Ping Yu. (2020) Rank method for partial functional linear regression models. Journal of the Korean Statistical Society 50:2, pages 354-379.
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Xiong Cai, Liugen Xue & Fei Lu. (2020) Robust estimation with a modified Huber’s loss for partial functional linear models based on splines. Journal of the Korean Statistical Society 49:4, pages 1214-1237.
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Ruiyuan Cao, Jiang Du, Jianjun Zhou & Tianfa Xie. (2019) FPCA-based estimation for generalized functional partially linear models. Statistical Papers 61:6, pages 2715-2735.
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Seong J. Yang, Hyejin Shin, Sang Han Lee & Seokho Lee. (2020) Functional linear regression model with randomly censored data: Predicting conversion time to Alzheimer ’s disease. Computational Statistics & Data Analysis 150, pages 107009.
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Wenjuan Hu, Nan Lin & Baoxue Zhang. (2020) Nonparametric testing of lack of dependence in functional linear models. PLOS ONE 15:6, pages e0234094.
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Yifan Sun & Qihua Wang. (2020) Function-on-function quadratic regression models. Computational Statistics & Data Analysis 142, pages 106814.
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Merve Yasemin Tekbudak, Marcela Alfaro-Córdoba, Arnab Maity & Ana-Maria Staicu. (2018) A comparison of testing methods in scalar-on-function regression. AStA Advances in Statistical Analysis 103:3, pages 411-436.
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Stephanie T. Chen, Luo Xiao & Ana‐Maria Staicu. (2019) A smoothing‐based goodness‐of‐fit test of covariance for functional data. Biometrics 75:2, pages 562-571.
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John J. Dziak, Donna L. Coffman, Matthew Reimherr, Justin Petrovich, Runze Li, Saul Shiffman & Mariya P. Shiyko. (2019) Scalar-on-function regression for predicting distal outcomes from intensively gathered longitudinal data: Interpretability for applied scientists. Statistics Surveys 13:none.
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Dehan Kong, Joseph G. IbrahimEunjee LeeHongtu Zhu. (2018) FLCRM: Functional linear cox regression model. Biometrics 74:1, pages 109-117.
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Justin Petrovich & Matthew Reimherr. (2017) Asymptotic properties of principal component projections with repeated eigenvalues. Statistics & Probability Letters 130, pages 42-48.
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Jiawei Bai, Andrada IvanescuCiprian M. Crainiceanu. (2017) Discussion of the paper ‘A general framework for functional regression modelling’. Statistical Modelling 17:1-2, pages 36-44.
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Ying Chen, Thorsten Koch & Xiaofei Xu. (2019) Regularized Partially Functional Autoregressive Model. SSRN Electronic Journal.
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