International Journal of Biostatistics最新文献

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Statistical method for pooling categorical biomarker data from multi-center matched/nested case-control studies. 汇总来自多中心匹配/嵌套病例对照研究的分类生物标志物数据的统计方法。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2026-05-18 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2025-0047
Yujie Wu, Xiao Wu, Ce Yang, Mitchell H Gail, Regina G Ziegler, Stephanie A Smith-Warner, Molin Wang
{"title":"Statistical method for pooling categorical biomarker data from multi-center matched/nested case-control studies.","authors":"Yujie Wu, Xiao Wu, Ce Yang, Mitchell H Gail, Regina G Ziegler, Stephanie A Smith-Warner, Molin Wang","doi":"10.1515/ijb-2025-0047","DOIUrl":"10.1515/ijb-2025-0047","url":null,"abstract":"<p><p>Pooled analyses that aggregate data from multiple studies are becoming increasingly common in collaborative epidemiologic research to increase sample size and population diversity. Many biomarkers, such as vitamin D, are routinely analyzed using clinically defined categories rather than their original continuous scales, yet statistical methods for pooling biomarker data across studies have largely focused on continuous biomarkers. Biomarker measurements from different studies are subject to systematic measurement errors and directly pooling them for analyses may lead to biased estimates of the regression parameters. Therefore, study-specific calibration processes must be incorporated in the statistical analyses to address between-study/assay/laboratory variability in the biomarker measurements. We propose a likelihood-based method to evaluate biomarker-disease relationships for biomarkers that are continuously measured but analyzed categorically in matched/nested case-control studies. To account for the additional uncertainties from the calibration processes, we propose a sandwich variance estimator to obtain valid asymptotic variances of the estimated regression parameters. Extensive simulation studies with varying sample sizes and biomarker-disease associations are used to evaluate the finite sample performance of our proposed methods. As an illustration, we apply the methods to a vitamin D pooling project of colorectal cancer to evaluate the effect of categorical vitamin D levels on colorectal cancer risks.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"157-168"},"PeriodicalIF":1.2,"publicationDate":"2026-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13504507/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147960468","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Prognostic score methods for the estimation of the average causal effect. 用于估计平均因果效应的预后评分方法。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2026-05-15 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2024-0034
Chamika Porage, Ingeborg Waernbaum
{"title":"Prognostic score methods for the estimation of the average causal effect.","authors":"Chamika Porage, Ingeborg Waernbaum","doi":"10.1515/ijb-2024-0034","DOIUrl":"10.1515/ijb-2024-0034","url":null,"abstract":"<p><p>The prognostic score (PGS) is a function of observed covariates that summarizes covariates' association with potential responses. In the current study, we propose a full prognostic score (FPGS), an extension of the PGS that integrates individual prognostic scores to account for confounding adjustments in causal inference. Under effect modification, we show that FPGS and a version of FPGS using conditional expectations of the outcomes, meet the sufficiency condition for confounding adjustment to estimate the average causal effect. We present a general algorithm to implement the FPGS approach for estimation by applying linear regression, random forest regression, and XGBoost regression. When determining the average causal effect, we incorporate FPGS into semiparametric estimators including regression imputation, simple stratification, and targeted maximum likelihood estimation (TMLE). The finite-sample properties of the estimators are compared through three simulation studies. Based on the findings of the FPGS estimators, the mean squared error of the linear regression imputation estimator and the TMLE estimator comprised of linearly regressed PGS is smaller than the mean squared error of alternative estimators. In an empirical study, we analyze data from the National Health and Nutrition Examination Survey (NHANES, 2007-2008) to determine the effect of smoking on blood lead levels.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"47-64"},"PeriodicalIF":1.2,"publicationDate":"2026-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147943281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Performance evaluation of dimensionality reduction techniques on high-dimensional DNA methylation data. 高维DNA甲基化数据降维技术的性能评价。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2026-02-19 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2025-0071
Kuldeep Kumar Sharma, Kuppan Gokulakrishnan, Binu V S, Binukumar Bhaskarapillai, Chinnasamy Thirumoorthy, Ponnusamy Saravanan
{"title":"Performance evaluation of dimensionality reduction techniques on high-dimensional DNA methylation data.","authors":"Kuldeep Kumar Sharma, Kuppan Gokulakrishnan, Binu V S, Binukumar Bhaskarapillai, Chinnasamy Thirumoorthy, Ponnusamy Saravanan","doi":"10.1515/ijb-2025-0071","DOIUrl":"10.1515/ijb-2025-0071","url":null,"abstract":"<p><p>DNA methylation (DNAm) is a key epigenetic modification, and datasets capturing DNAm are typically high-dimensional. Although dimension reduction (DR) techniques are commonly applied, it remains unclear how different DR methods perform specifically on the DNAm dataset. In this study, we aim to evaluate the performance of several DR techniques to determine their performance for reducing the dimensionality of DNAm datasets. We leveraged the DNAm dataset from the STRiDE (STratification of Risk of Diabetes in Early pregnancy) prospective study, which consists of 8,62,927 CpG sites each from 258 pregnant women.  Women were categorized as Normal (<i>n</i> = 146); and GDM (<i>n</i> = 112). Epigenome-wide DNA methylation profiles from peripheral blood were quantified using an Infinium Methylation EPIC array. All stated DR techniques were performed, and the retained amount of information, local neighborhood preservation criteria, and global structure-holding approaches were assessed using various statistical measures and compared. Across Shannon entropy, local-neighborhood metrics (König's measure, Spearman's ρ, trustworthiness/continuity) and global-structure metrics (Kruskal stress, Sammon's stress, residual variance), MDS and PCA consistently achieved the best performance. PLS-DA trailed closely, while ISOMAP showed moderate results and UMAP performed worst, exhibiting higher entropy, lower correlation preservation, and greater distortion of both local and global structures.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"127-142"},"PeriodicalIF":1.2,"publicationDate":"2026-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146214785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A nonparametric dependent competing risk method for net survival analysis. 净生存分析的非参数依赖竞争风险方法。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2026-02-17 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2024-0035
Reuben Adatorwovor, Aurelien Latouche, Jason P Fine
{"title":"A nonparametric dependent competing risk method for net survival analysis.","authors":"Reuben Adatorwovor, Aurelien Latouche, Jason P Fine","doi":"10.1515/ijb-2024-0035","DOIUrl":"10.1515/ijb-2024-0035","url":null,"abstract":"<p><p>Quantifying disease-specific survival in patients with competing risks is generally done when reliable cause of death (CoD) information is available. With known CoD, cause-specific and cumulative incidence functions for competing risk data are applicable in estimating disease-specific survival. When CoD is unreliable, unknown, or subject to misspecifications, relative survival methods are used for estimating disease-specific survival. This estimator, under the independent competing risks assumption, is the ratio of all-cause survival in the disease-specific cohort group to the known expected survival from a general reference population. The disease-specific death competes with other causes of mortality, potentially creating interdependence among the CoD. The standard ratio estimate is only valid when death from disease and death from competing causes are independent. We relaxed this assumption by formulating the dependence between the times to disease-specific death and competing causes of mortality using a copula. We fit a nonparametric copula-based approach to the distribution of disease-specific death which reduces to the ratio estimator under independence. This nonparametric method is robust compared to the previously proposed copula-based parametric method. We demonstrate the utility of our method through simulation studies and an application to French breast cancer registry data.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"87-100"},"PeriodicalIF":1.2,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146203616","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Benchmarking multi-step methods for the dynamic prediction of survival with numerous longitudinal predictors. 用许多纵向预测因子对多步骤方法进行动态预测。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-12-22 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2025-0049
Signorelli Mirko, Sophie Retif
{"title":"Benchmarking multi-step methods for the dynamic prediction of survival with numerous longitudinal predictors.","authors":"Signorelli Mirko, Sophie Retif","doi":"10.1515/ijb-2025-0049","DOIUrl":"10.1515/ijb-2025-0049","url":null,"abstract":"<p><p>In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ either mixed-effects models or multivariate functional principal component analysis to model and summarize the longitudinal covariates' evolution over time. Then, they use Cox models or random survival forests to predict survival probabilities, using as covariates both baseline variables and the summaries of the longitudinal variables obtained in the previous modelling step. Because these multi-step methods are still quite new, to date little is known about their applicability, limitations, and predictive performance when applied to real-world data. To gain a better understanding of these aspects, we performed a benchmarking of these multi-step methods (and two simpler prediction approaches) using three datasets that differ in sample size, number of longitudinal covariates and length of follow-up. We discuss the different modelling choices made by these methods, and some adjustments that one may need to do in order to be able to apply them to real-world data. Furthermore, we compare their predictive performance using multiple performance measures and landmark times, assess their computing time, and discuss their strengths and limitations.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"65-85"},"PeriodicalIF":1.2,"publicationDate":"2025-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145794943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Post-shrinkage strategies for nonlinear semiparametric regression models in low and high-dimensional settings. 低维和高维非线性半参数回归模型的收缩后策略。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-11-20 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2024-0011
S Ejaz Ahmed, Dursun Aydın, Ersin Yılmaz
{"title":"Post-shrinkage strategies for nonlinear semiparametric regression models in low and high-dimensional settings.","authors":"S Ejaz Ahmed, Dursun Aydın, Ersin Yılmaz","doi":"10.1515/ijb-2024-0011","DOIUrl":"10.1515/ijb-2024-0011","url":null,"abstract":"<p><p>This paper considers semiparametric estimation strategies for the nonlinear semiparametric regression model (NSRM) under the sparsity assumption by modifying the Gauss-Newton method for both low- and high-dimensional data scenarios. In the low-dimensional case, coefficients are partitioned into two parts that represent nonzero (strong signals) and sparse coefficients. In the high-dimensional case, a weighted-ridge approach is employed, and coefficients are partitioned into three parts, adding weak signals as well. Shrinkage estimators are then obtained in both cases. More importantly, in this paper, we assume that a nonlinear structure is present in the parametric component of the model, which makes the direct application of penalized least squares to the NSRM impossible. To solve this problem, we employ the iterative Gauss-Newton method to obtain the final NSRM estimators. We provide both theoretical and practical details for the suggested estimators. Asymptotic results are derived for both low- and high-dimensional cases. We conduct an extensive simulation study to evaluate the performance of the estimators in a practical setting. Moreover, we substantiate our findings with data examples from two distinct breast cancer datasets: the Breast Cancer in the United States (BCUS) and Wisconsin datasets. By demonstrating the effectiveness of our introduced estimators in these particular biostatistical contexts, our numerical study provides support for the theoretical efficacy of shrinkage estimators, suggesting their potential relevance to breast cancer research and biostatistical methodologies.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"101-126"},"PeriodicalIF":1.2,"publicationDate":"2025-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145558461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DBMS: dynamic borrowing method for frequentist hybrid control designs based on historical-current data similarity. 基于历史-当前数据相似度的频率混合控制设计的动态借用方法。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-11-06 eCollection Date: 2026-05-01 DOI: 10.1515/ijb-2024-0051
Masahiro Kojima
{"title":"DBMS: dynamic borrowing method for frequentist hybrid control designs based on historical-current data similarity.","authors":"Masahiro Kojima","doi":"10.1515/ijb-2024-0051","DOIUrl":"10.1515/ijb-2024-0051","url":null,"abstract":"<p><p>Information borrowing from historical data is gaining increasing attention in clinical trials for rare and pediatric diseases, where small sample sizes may lead to insufficient statistical power for confirming efficacy. While Bayesian information borrowing methods are well established, recent frequentist approaches, such as the test-then-pool and equivalence-based test-then-pool methods, have been proposed to determine whether historical data should be incorporated into statistical hypothesis testing. Depending on the outcome of these hypothesis tests, historical data may or may not be utilized. This paper introduces a dynamic borrowing method for leveraging historical information based on the similarity between current and historical data. Similar to Bayesian dynamic borrowing, our proposed method adjusts the degree of information borrowing dynamically, ranging from 0 to 100 %. We present two approaches to measure similarity: one using the density function of the t-distribution and the other employing a logistic function. The performance of the proposed methods is evaluated through Monte Carlo simulations. Additionally, we demonstrate the utility of dynamic information borrowing by reanalyzing data from an actual clinical trial.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"143-155"},"PeriodicalIF":1.2,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145459898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian competing risks survival modeling for assessing the cause of death of patients with heart failure. 评估心力衰竭患者死亡原因的贝叶斯竞争风险生存模型。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-11-03 eCollection Date: 2025-11-01 DOI: 10.1515/ijb-2025-0011
Jesús Gutiérrez-Botella, Carmen Armero, Thomas Kneib, María P Pata, Javier García-Seara
{"title":"Bayesian competing risks survival modeling for assessing the cause of death of patients with heart failure.","authors":"Jesús Gutiérrez-Botella, Carmen Armero, Thomas Kneib, María P Pata, Javier García-Seara","doi":"10.1515/ijb-2025-0011","DOIUrl":"10.1515/ijb-2025-0011","url":null,"abstract":"<p><p>Competing risks models are survival models with several events of interest acting in competition and whose occurrence is only observed for the event that occurs first in time. This paper presents a Bayesian approach to these models in which the issue of model selection is treated in a special way by proposing generalizations of some of the Bayesian procedures used in univariate survival analysis. This research is motivated by a study on the survival of patients with heart failure undergoing cardiac resynchronization therapy, a procedure which involves the implant of a device to stabilize the heartbeat. Two different causes of death have been considered: cardiovascular and non-cardiovascular, and a set of baseline covariates are examined in order to better understand their relationship with both causes of death. Model selection, model checking, and model comparison procedures have been implemented and assessed. The posterior distribution of some relevant outputs such as the overall survival function, cumulative incidence functions, and transition probabilities have been computed and discussed.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"439-461"},"PeriodicalIF":1.2,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145423494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The gROC curve and the optimal classification. gROC曲线及最优分类。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-11-03 eCollection Date: 2025-11-01 DOI: 10.1515/ijb-2025-0016
Pablo Martínez-Camblor, Sonia Pérez-Fernández
{"title":"The gROC curve and the optimal classification.","authors":"Pablo Martínez-Camblor, Sonia Pérez-Fernández","doi":"10.1515/ijb-2025-0016","DOIUrl":"10.1515/ijb-2025-0016","url":null,"abstract":"<p><p>The binary classification problem (BCP) aims to correctly allocate subjects in one of two possible groups. The groups are frequently defined as having or not one characteristic of interest. With this goal, we are allowed to use different types of information. There is a huge number of methods dealing with this problem; including standard binary regression models, or complex machine learning techniques such as support vector machine, boosting, or perceptron, among others. When this information is summarized in a continuous score, we have to define classification regions (or subsets) which will determine whether the subjects are classified as positive, with the characteristic under study, or as negative, otherwise. The standard (or regular) receiver-operating characteristic (ROC) curve assumes that higher values of the marker are associated with higher probabilities of being positive and considers as positive those patients with values within the intervals [<i>c</i>, ∞) <math><mrow><mo>(</mo> <mrow><mi>c</mi> <mo>∈</mo> <mi>R</mi></mrow> <mo>)</mo></mrow> </math> , and plots the true- against the false- positive rates (sensitivity against one minus specificity) for all potential <i>c</i>. The so-called generalized ROC curve, gROC, allows that both higher and lower values of the score are associated with higher probabilities of being positive. The efficient ROC curve, eROC, considers the best ROC curve based on a transformation of the score. In this manuscript, we are interested in studying, comparing and approximating the transformations leading to the eROC and to the gROC curves. We will prove that, when the optimal transformation does not have relative maximum, both curves are equivalent. Besides, we investigate the use of the gROC curve on some theoretical models, explore the relationship between the gROC and the eROC curves, and propose two non-parametric procedures for approximating the transformation leading to the gROC curve. The finite-sample behavior of the proposed estimators is explored through Monte Carlo simulations. Two real-data sets illustrate the practical use of the proposed methods.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"255-270"},"PeriodicalIF":1.2,"publicationDate":"2025-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145423453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhanced doubly robust estimate with semiparametric models for causal inference of survival outcome. 用半参数模型对生存结果进行因果推断的增强双稳健估计。
IF 1.2 4区 数学
International Journal of Biostatistics Pub Date : 2025-10-31 eCollection Date: 2025-11-01 DOI: 10.1515/ijb-2023-0131
Tianmin Wu, Ao Yuan, Ming Tan
{"title":"Enhanced doubly robust estimate with semiparametric models for causal inference of survival outcome.","authors":"Tianmin Wu, Ao Yuan, Ming Tan","doi":"10.1515/ijb-2023-0131","DOIUrl":"10.1515/ijb-2023-0131","url":null,"abstract":"<p><p>In observational studies, the treatment assignment is typically not random. Even in randomized clinical trials, the randomization may be imperfect given the limitation of sample size. In these cases, traditional statistical methods may lead to biased estimates of treatment effects, and causal inference methods are needed to obtain unbiased estimates. The doubly robust estimator (DRE) is a recent development in causal inference, but the literature on DRE for survival data is very limited, and existing methods tend to have complicated forms and may not have double robustness in the original sense. Some are constructed based on the Nelson-Aalen estimator, and to our knowledge no DRE is constructed based on the Kaplan-Meier estimator. Furthermore, in these methods, the propensity score model is often subjectively specified with a logistic model. DRE can be seriously biased if the propensity score and outcome models are slightly misspecified. Here we propose a new semiparametric robust estimator that utilizes the Kaplan-Meier estimator and Stute weighted empirical form to address these issues. Our proposed estimator is not only doubly robust in the original sense but also enhances robustness with the use of semiparametric specification. The asymptotic properties of the proposed estimator are derived, and extensive simulation studies are conducted to evaluate its finite sample performance and compare it with existing methods. Finally, we apply our proposed method to a real clinical study.</p>","PeriodicalId":50333,"journal":{"name":"International Journal of Biostatistics","volume":" ","pages":"285-298"},"PeriodicalIF":1.2,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145410580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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