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Consider estimation of the regression parameter in the accelerated failure time model, when data are obtained by cross sectional sampling. It is shown that it is possible under regularity of the model to construct an efficient estimator of…

Statistics Theory · Mathematics 2007-06-13 Chris A. J. Klaassen , Philip J. Mokveld , Bert van Es

Longitudinal observations are sometimes costly or not available. Cross sectional sampling can be an alternative. Observations are drawn then at a specific point in time from a population of durations whose distributions satisfy a {\em core…

Statistics Theory · Mathematics 2007-06-13 Bert van Es , Chris A. J. Klaassen , Philip J. Mokveld

We propose a functional accelerated failure time model to characterize effects of both functional and scalar covariates on the time to event of interest, and provide regularity conditions to guarantee model identifiability. For efficient…

Methodology · Statistics 2024-02-09 Changyu Liu , Wen Su , Kin-Yat Liu , Guosheng Yin , Xingqiu Zhao

Response-biased sampling, in which samples are drawn from a popula- tion according to the values of the response variable, is common in biomedical, epidemiological, economic and social studies. In particular, the complete obser- vations in…

Methodology · Statistics 2016-10-31 Kani Chen , Yuanyuan Lin , Yuan Yao , Chaoxu Zhou

Researchers have widely used accelerated life tests to determine an optimal inspection plan for lot acceptance. All such plans are proposed by assuming a known relationship between the lifetime characteristic(s) and the accelerating stress…

Computation · Statistics 2026-02-06 Sandip Barui , Shovan Chowdhury

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

Methodology · Statistics 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

The case-cohort design is a commonly used cost-effective sampling strategy for large cohort studies, where some covariates are expensive to measure or obtain. In this paper, we consider regression analysis under a case-cohort study with…

Methodology · Statistics 2023-10-24 Qingning Zhou , Kin Yau Wong

The semiparametric accelerated failure time model is not as widely used as the Cox relative risk model mainly due to computational difficulties. Recent developments in least squares estimation and induced smoothing estimating equations…

Methodology · Statistics 2015-06-02 Steven Chiou , Junghi Kim , Jun Yan

Semiparametric accelerated failure time (AFT) models directly relate the predicted failure times to covariates and are a useful alternative to models that work on the hazard function or the survival function. For case-cohort data, much less…

Computation · Statistics 2022-12-15 Steven Chiou , Sangwook Kang , Jun Yan

This study aims to predict failure times for some units in some lifetime experiments. In some practical situations, the experimenter may not be able to register the failure times of all units during the experiment. Recently, this situation…

Statistics Theory · Mathematics 2023-04-13 Mahmoud Mansour , Mohamed Aboshady

We present methods for estimating loss-based measures of the performance of a prediction model in a target population that differs from the source population in which the model was developed, in settings where outcome and covariate data are…

Individual-specific, time-constant, random effects are often used to model dependence and/or to account for omitted covariates in regression models for longitudinal responses. Longitudinal studies have known a huge and widespread use in the…

Methodology · Statistics 2026-01-14 Marco Alfo' , Roberto Rocci

In modern experimental science, there is a common problem of estimating the coefficients of a linear regression in a context where the variables of interest cannot be observed simultaneously. When there is a categorical variable that is…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

An important task in survival analysis is choosing a structure for the relationship between covariates of interest and the time-to-event outcome. For example, the accelerated failure time (AFT) model structures each covariate effect as a…

Methodology · Statistics 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

In medical studies, the collected covariates usually contain underlying outliers. For clustered /longitudinal data with censored observations, the traditional Gehan-type estimator is robust to outliers existing in response but sensitive to…

Methodology · Statistics 2020-03-10 Liya Fu , Zhuoran Yang , Yan Zhou , You-Gan Wang

Biased sampling designs can be highly efficient when studying rare (binary) or low variability (continuous) endpoints. We consider longitudinal data settings in which the probability of being sampled depends on a repeatedly measured…

We present new estimators for the statistical analysis of the dependence of the mean gap time length between consecutive recurrent events, on a set of explanatory random variables and in the presence of right censoring. The dependence is…

Applications · Statistics 2021-09-10 Ioana Schiopu-Kratina , Hai Yan Liu , Mayer Alvo , Pierre-Jerome Bergeron

We consider a class of doubly weighted rank-based estimating methods for the transformation (or accelerated failure time) model with missing data as arise, for example, in case-cohort studies. The weights considered may not be predictable…

Statistics Theory · Mathematics 2009-08-24 Bin Nan , John D. Kalbfleisch , Menggang Yu

We investigate how to improve efficiency using regression adjustments with covariates in covariate-adaptive randomizations (CARs) with imperfect subject compliance. Our regression-adjusted estimators, which are based on the doubly robust…

Econometrics · Economics 2023-06-19 Liang Jiang , Oliver B. Linton , Haihan Tang , Yichong Zhang

In the linear random effects model, when distributional assumptions such as normality of the error variables cannot be justified, moments may serve as alternatives to describe relevant distributions in neighborhoods of their means.…

Statistics Theory · Mathematics 2012-03-05 Ping Wu , Winfried Stute , Li-Xing Zhu
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