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Qiu Z, Ma H, Shi J. Reweighting estimators for the transformation models with length-biased sampling data and missing covariates. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2020.1812653] [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)
- Zhiping Qiu
- School of Statistics, Huaqiao University, Xiamen, China
- Research Center for Applied Statistics and Big Data, Huaqiao University, Xiamen, China
| | - Huijuan Ma
- Key Laboratory of Advanced Theory and Application in Statistics and Data Science, Ministry of Education, East China Normal University, Shanghai, China
- Academy of Statistics and Interdisciplinary Sciences, East China Normal University, Shanghai, China
| | - Jianhua Shi
- School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, China
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Li H, Zhang H, Zhu L, Li N, Sun J. Estimation of the additive hazards model with interval‐censored data and missing covariates. CAN J STAT 2020. [DOI: 10.1002/cjs.11544] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Huiqiong Li
- Department of‐10 StatisticsYunnan University Kunming 650091 P.R. China
| | - Han Zhang
- Department of StatisticsUniversity of MissouriColumbia MO 65211 U.S.A
| | - Liang Zhu
- Biostatistics and Epidemiology Research DesignHealth Science Center at Houston, University of TexasHouston TX U.S.A
| | - Ni Li
- School of Mathematics and StatisticsHainan Normal UniversityHaikou 571158 P.R. China
| | - Jianguo Sun
- Department of StatisticsUniversity of MissouriColumbia MO 65211 U.S.A
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Two stage smoothing in additive models with missing covariates. Stat Pap (Berl) 2019. [DOI: 10.1007/s00362-017-0896-6] [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]
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Diallo AO, Diop A, Dupuy JF. Estimation in zero-inflated binomial regression with missing covariates. STATISTICS-ABINGDON 2019. [DOI: 10.1080/02331888.2019.1619741] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Alpha Oumar Diallo
- LERSTAD, CEA-MITIC, Gaston Berger University, Saint Louis, Senegal
- Univ Rennes, INSA Rennes, CNRS, IRMAR - UMR 6625, F-35000 Rennes, France
| | - Aliou Diop
- LERSTAD, CEA-MITIC, Gaston Berger University, Saint Louis, Senegal
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Qiu Z. Statistical inference under imputation for proportional hazard model with missing covariates. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2016.1275696] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Zhiping Qiu
- School of Mathematical Sciences, Huaqiao University, Quanzhou, China
- Research Center for Applied Statistics and Big Data, Huaqiao University, Xiamen, China
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Afzal AR, Dong C, Lu X. Estimation of partly linear additive hazards model with left-truncated and right-censored data. STAT MODEL 2017. [DOI: 10.1177/1471082x17705993] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
In this article, we consider an additive hazards semiparametric model for left-truncated and right-censored data where the risk function has a partly linear structure, we call it the partly linear additive hazards model. The nonlinear components are assumed to be B-splines functions, so the model can be viewed as a semiparametric model with an unknown baseline hazard function and a partly linear parametric risk function, which can model both linear and nonlinear covariate effects, hence is more flexible than a purely linear or nonlinear model. We construct a pseudo-score function to estimate the coefficients of the linear covariates and the B-spline basis functions. The proposed estimators are asymptotically normal under the assumption that the true nonlinear functions are B-spline functions whose knot locations and number of knots are held fixed. On the other hand, when the risk functions are unknown non-parametric functions, the proposed method provides a practical solution to the underlying inference problems. We conduct simulation studies to empirically examine the finite-sample performance of the proposed method and analyze a real dataset for illustration.
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Affiliation(s)
- Arfan Raheen Afzal
- Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada
| | - Cheng Dong
- Department of Statistics University of Missouri, Columbia, MO, U.S.A
| | - Xuewen Lu
- Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada
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