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The use of massive survival data has become common in survival analysis. In this study, a subsampling algorithm is proposed for the Cox proportional hazards model with time-dependent covariates when the sample is extraordinarily large but…

Computation · Statistics 2023-02-07 Nan Qiao , Wangcheng Li , Feng Xiao , Cunjie Lin , Yong Zhou

With the growing availability of large-scale biomedical data, it is often time-consuming or infeasible to directly perform traditional statistical analysis with relatively limited computing resources at hand. We propose a fast subsampling…

Methodology · Statistics 2023-05-18 Haixiang Zhang , Lulu Zuo , HaiYing Wang , Liuquan Sun

Massive sized survival datasets are becoming increasingly prevalent with the development of the healthcare industry. Such datasets pose computational challenges unprecedented in traditional survival analysis use-cases. A popular way for…

Methodology · Statistics 2023-05-09 Nir Keret , Malka Gorfine

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

Methodology · Statistics 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

To ensure privacy protection and alleviate computational burden, we propose a fast subsmaling procedure for the Cox model with massive survival datasets from multi-centered, decentralized sources. The proposed estimator is computed based on…

Computation · Statistics 2024-10-02 Haixiang Zhang , Yang Li , HaiYing Wang

In the realm of contemporary data analysis, the use of massive datasets has taken on heightened significance, albeit often entailing considerable demands on computational time and memory. While a multitude of existing works offer optimal…

Methodology · Statistics 2024-06-21 Tal Agassi , Nir Keret , Malka Gorfine

Prevalent cohort sampling is commonly used to study the natural history of a disease when the disease is rare or it usually takes a long time to observe the failure event. It is known, however, that the collected sample in this situation is…

Methodology · Statistics 2022-09-05 Omidali Aghababaei Jazi

Cox proportional hazard regression model is a popular tool to analyze the relationship between a censored lifetime variable with other relevant factors. The semi-parametric Cox model is widely used to study different types of data arising…

Methodology · Statistics 2018-10-09 Abhik Ghosh , Ayanendranath Basu

We develop a post-selection inference method for the Cox proportional hazards model with interval-censored data, which provides asymptotically valid p-values and confidence intervals conditional on the model selected by lasso. The method is…

Methodology · Statistics 2024-01-02 Jianrui Zhang , Chenxi Li , Haolei Weng

Big data is ubiquitous in practices, and it has also led to heavy computation burden. To reduce the calculation cost and ensure the effectiveness of parameter estimators, an optimal subset sampling method is proposed to estimate the…

Methodology · Statistics 2023-11-16 Haohui Han , Liya Fu

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales well to large data…

Machine Learning · Statistics 2019-09-16 Håvard Kvamme , Ørnulf Borgan , Ida Scheel

The Cox model is an indispensable tool for time-to-event analysis, particularly in biomedical research. However, medicine is undergoing a profound transformation, generating data at an unprecedented scale, which opens new frontiers to study…

Methodology · Statistics 2023-03-07 Alexander W. Jung , Moritz Gerstung

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

Statistics Theory · Mathematics 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

A case-cohort design is a two-phase sampling design frequently used to analyze censored survival data in a cost-effective way, where a subcohort is usually selected using simple random sampling or stratified simple random sampling. In this…

Methodology · Statistics 2024-11-06 Kaeum Choi , Sangwook Kang

In biometrics and related fields, the Cox proportional hazards model are widely used to analyze with covariate adjustment. However, when some covariates are not observed, an unbiased estimator usually cannot be obtained. Even if there are…

Methodology · Statistics 2022-06-06 Shunichiro Orihara

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen

Motivated by multi-center biomedical studies that cannot share individual data due to privacy and ownership concerns, we develop communication-efficient iterative distributed algorithms for estimation and inference in the high-dimensional…

Methodology · Statistics 2024-06-25 Pierre Bayle , Jianqing Fan , Zhipeng Lou

Subsampling is an efficient method to deal with massive data. In this paper, we investigate the optimal subsampling for linear quantile regression when the covariates are functions. The asymptotic distribution of the subsampling estimator…

Numerical Analysis · Mathematics 2022-05-06 Qian Yan , Hanyu Li , Chengmei Niu

We describe a new approach to estimating relative risks in time-to-event prediction problems with censored data in a fully parametric manner. Our approach does not require making strong assumptions of constant proportional hazard of the…

Machine Learning · Computer Science 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski

The penalized Cox proportional hazard model is a popular analytical approach for survival data with a large number of covariates. Such problems are especially challenging when covariates vary over follow-up time (i.e., the covariates are…

Methodology · Statistics 2021-06-10 Steve Cygu , Jonathan Dushoff , Benjamin M. Bolker
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