Bayesian Estimation of Partial Functional Tobit Censored Quantile Regression Model

Fuente: Wiley Open Access
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Auteurs principaux: Chunjie Wang, Zhexin Lu, Chuchu Wang, Xinyuan Song
Format: Artículo Open Access
Publié: Wiley 2025
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author Chunjie Wang
Zhexin Lu
Chuchu Wang
Xinyuan Song
author_facet Chunjie Wang
Zhexin Lu
Chuchu Wang
Xinyuan Song
Chunjie Wang
Zhexin Lu
Chuchu Wang
Xinyuan Song
collection Wiley Open Access
contents Bayesian Estimation of Partial Functional Tobit Censored Quantile Regression Model Chunjie Wang Zhexin Lu Chuchu Wang Xinyuan Song Statistics in Medicine ABSTRACTThe information extracted from imaging data has become increasingly important in disease diagnosis as it uncovers associations between imaging features and diseases of interest. This study proposes a partial functional Tobit censored quantile regression (PFTCQR) model to investigate the quantile‐specific relationships between the time of incidence of laryngeal cancer and a set of imaging and clinical predictors based on the data collected from a laryngeal cancer study in the Otolaryngology Department of a tertiary hospital in Jilin Province, China. The functional principal component analysis and moment method are employed to estimate the slope and covariance functions of the functional predictors. An efficient Markov chain Monte Carlo (MCMC) algorithm is developed, leveraging the location‐scale mixture representation of the asymmetric Laplace distribution (ALD) to perform the estimation. Furthermore, we extend the PFTCQR model to the composite quantile regression framework and incorporate variable selection for scalar covariates, further enhancing the robustness and efficiency of parameter estimation and improving model fitting. The proposed method is demonstrated through simulation studies and applied to the laryngeal carcinoma data. Results provide new insights into potential risk factors for laryngeal carcinoma and their effects varying across quantiles. Specific laryngeal regions are identified as significantly associated with the progression of the disease. 10.1002/sim.70152 http://creativecommons.org/licenses/by-nc-nd/4.0/
doi_str_mv 10.1002/sim.70152
format Artículo Open Access
id wiley_oa_10_1002_sim_70152
institution Wiley Open Access
license_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
publishDate 2025
publisher Wiley
record_format wiley_oa
spellingShingle Bayesian Estimation of Partial Functional Tobit Censored Quantile Regression Model
Chunjie Wang
Zhexin Lu
Chuchu Wang
Xinyuan Song
Statistics in Medicine
Bayesian Estimation of Partial Functional Tobit Censored Quantile Regression Model Chunjie Wang Zhexin Lu Chuchu Wang Xinyuan Song Statistics in Medicine ABSTRACTThe information extracted from imaging data has become increasingly important in disease diagnosis as it uncovers associations between imaging features and diseases of interest. This study proposes a partial functional Tobit censored quantile regression (PFTCQR) model to investigate the quantile‐specific relationships between the time of incidence of laryngeal cancer and a set of imaging and clinical predictors based on the data collected from a laryngeal cancer study in the Otolaryngology Department of a tertiary hospital in Jilin Province, China. The functional principal component analysis and moment method are employed to estimate the slope and covariance functions of the functional predictors. An efficient Markov chain Monte Carlo (MCMC) algorithm is developed, leveraging the location‐scale mixture representation of the asymmetric Laplace distribution (ALD) to perform the estimation. Furthermore, we extend the PFTCQR model to the composite quantile regression framework and incorporate variable selection for scalar covariates, further enhancing the robustness and efficiency of parameter estimation and improving model fitting. The proposed method is demonstrated through simulation studies and applied to the laryngeal carcinoma data. Results provide new insights into potential risk factors for laryngeal carcinoma and their effects varying across quantiles. Specific laryngeal regions are identified as significantly associated with the progression of the disease. 10.1002/sim.70152 http://creativecommons.org/licenses/by-nc-nd/4.0/
title Bayesian Estimation of Partial Functional Tobit Censored Quantile Regression Model
topic Statistics in Medicine
url https://onlinelibrary.wiley.com/doi/10.1002/sim.70152