Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data
In this paper, we discuss regression analysis of bivariate interval-censored failure time data that often occur in biomedical and epidemiological studies. To solve this problem, we propose a kind of general and flexible copula-based semiparametric partly linear additive hazards models that can allow...
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MDPI AG
2023-02-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/2/198 |
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| author | Ximeng Zhang Shishun Zhao Tao Hu Jianguo Sun |
| author_facet | Ximeng Zhang Shishun Zhao Tao Hu Jianguo Sun |
| author_sort | Ximeng Zhang |
| collection | DOAJ |
| description | In this paper, we discuss regression analysis of bivariate interval-censored failure time data that often occur in biomedical and epidemiological studies. To solve this problem, we propose a kind of general and flexible copula-based semiparametric partly linear additive hazards models that can allow for both time-dependent covariates and possible nonlinear effects. For inference, a sieve maximum likelihood estimation approach based on Bernstein polynomials is proposed to estimate the baseline hazard functions and nonlinear covariate effects. The resulting estimators of regression parameters are shown to be consistent, asymptotically efficient and normal. A simulation study is conducted to assess the finite-sample performance of this method and the results show that it is effective in practice. Moreover, an illustration is provided. |
| first_indexed | 2024-03-11T09:10:31Z |
| format | Article |
| id | doaj.art-e64ed893abf04554b7a083f680bd021a |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T09:10:31Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e64ed893abf04554b7a083f680bd021a2023-11-16T19:06:39ZengMDPI AGAxioms2075-16802023-02-0112219810.3390/axioms12020198Partially Linear Additive Hazards Regression for Bivariate Interval-Censored DataXimeng Zhang0Shishun Zhao1Tao Hu2Jianguo Sun3Center for Applied Statistical Research, College of Mathematics, Jilin University, Changchun 130012, ChinaCenter for Applied Statistical Research, College of Mathematics, Jilin University, Changchun 130012, ChinaSchool of Mathematical Sciences, Capital Normal University, Beijing 100048, ChinaDepartment of Statistics, University of Missouri, Columbia, MO 65211, USAIn this paper, we discuss regression analysis of bivariate interval-censored failure time data that often occur in biomedical and epidemiological studies. To solve this problem, we propose a kind of general and flexible copula-based semiparametric partly linear additive hazards models that can allow for both time-dependent covariates and possible nonlinear effects. For inference, a sieve maximum likelihood estimation approach based on Bernstein polynomials is proposed to estimate the baseline hazard functions and nonlinear covariate effects. The resulting estimators of regression parameters are shown to be consistent, asymptotically efficient and normal. A simulation study is conducted to assess the finite-sample performance of this method and the results show that it is effective in practice. Moreover, an illustration is provided.https://www.mdpi.com/2075-1680/12/2/198Archimedean copula modelBernstein polynomialsbivariate interval-censored datapartly linear model |
| spellingShingle | Ximeng Zhang Shishun Zhao Tao Hu Jianguo Sun Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data Axioms Archimedean copula model Bernstein polynomials bivariate interval-censored data partly linear model |
| title | Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data |
| title_full | Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data |
| title_fullStr | Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data |
| title_full_unstemmed | Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data |
| title_short | Partially Linear Additive Hazards Regression for Bivariate Interval-Censored Data |
| title_sort | partially linear additive hazards regression for bivariate interval censored data |
| topic | Archimedean copula model Bernstein polynomials bivariate interval-censored data partly linear model |
| url | https://www.mdpi.com/2075-1680/12/2/198 |
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