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1
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Tang Q, Tu W, Kong L. Estimation for partial functional partially linear additive model. Comput Stat Data Anal 2022. [DOI: 10.1016/j.csda.2022.107584] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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2
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Xiao P, Wang G. Partial functional linear regression with autoregressive errors. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2020.1818097] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Piaoxuan Xiao
- College of Economics, Jinan University, Guangzhou, China
| | - Guochang Wang
- College of Economics, Jinan University, Guangzhou, China
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3
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Robust estimation for a general functional single index model via quantile regression. J Korean Stat Soc 2022. [DOI: 10.1007/s42952-022-00174-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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4
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Wang B, Zhang B, Yan H. Functional sufficient dimension reduction based on weighted method. COMMUN STAT-SIMUL C 2022. [DOI: 10.1080/03610918.2022.2087878] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Bingcan Wang
- School of Statistics, Capital University of Economics and Business, Beijing, China
| | - Baoxue Zhang
- School of Statistics, Capital University of Economics and Business, Beijing, China
| | - Haibo Yan
- School of Public Administration, Jinan University, Guangzhou, China
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6
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Liang B, Gao T, Bai D, Wang G. Functional dimension reduction based on fuzzy partition and transformation. AUST NZ J STAT 2022. [DOI: 10.1111/anzs.12363] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Beiting Liang
- School of Economics Jinan University Guangzhou 510632China
| | - Taoxuan Gao
- Office of Scientific R and D Jinan University Guangzhou 510632China
| | - Defa Bai
- Office of Scientific R and D Jinan University Guangzhou 510632China
| | - Guochang Wang
- School of Economics Jinan University Guangzhou 510632China
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Generalized partially functional linear model. Sci Rep 2021; 11:23428. [PMID: 34873245 PMCID: PMC8648855 DOI: 10.1038/s41598-021-02896-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2021] [Accepted: 11/22/2021] [Indexed: 11/24/2022] Open
Abstract
In this paper, a generalized partially functional linear regression model is proposed and the asymptotic property of the proposed estimated coefficients in the model is established. Extensive simulation experiment results are consistent with the theoretical result. Finally, two application examples of the model are given. One is sleep quality study where we studied the effects of heart rate, percentage of sleep time on total sleep in bed, wake after sleep onset and number of wakening during the night on sleep quality in 22 healthy people. The other one is mortality rate where we studied the effects of air quality index, temperature, relative humidity, GDP per capita and the number of beds per thousand people on the mortality rate across 80 major cities in China.
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Novo S, Vieu P, Aneiros G. Fast and efficient algorithms for sparse semiparametric bifunctional regression. AUST NZ J STAT 2021. [DOI: 10.1111/anzs.12355] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Affiliation(s)
- Silvia Novo
- Departamento de Matemáticas, Facultade de Informática Universidade da Coruña Campus de Elviña A Coruña 15071 Spain
| | - Philippe Vieu
- Institut de Mathématiques de Toulouse Université Paul Sabatier Route de Narbonne Toulouse OccitanieF‐31062, Cedex 9 France
| | - Germán Aneiros
- Departamento de Matemáticas, Facultade de Informática Universidade da Coruña Campus de Elviña A Coruña 15071 Spain
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Meng S, Huang Z, Zhang J, Jiang Z. Estimation on functional partially linear single index measurement error model. COMMUN STAT-THEOR M 2021. [DOI: 10.1080/03610926.2021.1999979] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Shuyu Meng
- School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China
| | - Zhensheng Huang
- School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China
| | - Jing Zhang
- School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China
| | - Zhiqiang Jiang
- School of Science, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China
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10
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11
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Sparse semiparametric regression when predictors are mixture of functional and high-dimensional variables. TEST-SPAIN 2021. [DOI: 10.1007/s11749-020-00728-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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12
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13
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Hu W, Guo J, Wang G, Zhang B. Weight fused functional sliced average variance estimation. COMMUN STAT-SIMUL C 2020. [DOI: 10.1080/03610918.2020.1752382] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Wenjuan Hu
- Department of Statistics, School of Mathematics and Statistics, Northeast Normal University, Changchun, China
| | - Jiaxian Guo
- Department of Statistics and Applied Probability, Faculty of Science, National University of Singapore, Singapore, Singapore
| | - Guochang Wang
- Department of Statistics, College of Economics Jinan University, Guangzhou, China
| | - Baoxue Zhang
- Department of Statistics, School of Mathematics and Statistics, Northeast Normal University, Changchun, China
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Zhu H, Zhang R, Yu Z, Lian H, Liu Y. Estimation and testing for partially functional linear errors-in-variables models. J MULTIVARIATE ANAL 2019. [DOI: 10.1016/j.jmva.2018.11.005] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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15
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Novo S, Aneiros G, Vieu P. Automatic and location-adaptive estimation in functional single-index regression. J Nonparametr Stat 2019. [DOI: 10.1080/10485252.2019.1567726] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Silvia Novo
- Departamento de Matemáticas, Universidade da Coruña, A Coruña, Spain
- Centro de Investigación de Tecnoloxías da Información e da Comunicación (CITIC), A Coruña, France
| | - Germán Aneiros
- Departamento de Matemáticas, Universidade da Coruña, A Coruña, Spain
- Centro de Investigación de Tecnoloxías da Información e da Comunicación (CITIC), A Coruña, France
- Instituto Tecnológico de Matemática Industrial (ITMATI), A Coruña, France
| | - Philippe Vieu
- Institut de Mathématiques, Université Paul Sabatier, Toulouse, France
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Liu J, Xue L, Tian R. Generalized empirical likelihood inference in partially linear model for longitudinal data with missing response variables and error-prone covariates. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2016.1218027] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Juanfang Liu
- College of Applied Sciences, Beijing University of Technology, Beijing, China
- College of Mathematics and Information Science, Henan Normal University, Henan, China
| | - Liugen Xue
- College of Applied Sciences, Beijing University of Technology, Beijing, China
| | - Ruiqin Tian
- Department of Statistics, Zhejiang Agriculture and Forestry University, Zhejiang, China
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17
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Dimension reduction in functional regression with categorical predictor. Comput Stat 2016. [DOI: 10.1007/s00180-016-0675-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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18
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Montoya EL, Meiring W. An F-type test for detecting departure from monotonicity in a functional linear model. J Nonparametr Stat 2016. [DOI: 10.1080/10485252.2016.1163352] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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