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This paper considers estimation for linear regression analysis with covariate measurement error arising from Poisson surrogates. We consider cases where covariates follow a conditional Poisson distribution, capturing non-Gaussian and…

Statistics Theory · Mathematics 2025-09-08 Aijun Yang , Mary Lesperance , Farouk S. Nathoo

Discrete biomarkers derived as cell densities or counts from tissue microarrays and immunostaining are widely used to study immune signatures in relation to survival outcomes in cancer. Although routinely collected, these signatures are not…

This paper considers errors-in-variables models in a high-dimensional setting where the number of covariates can be much larger than the sample size, and there are only a small number of non-zero covariates. The presence of measurement…

Methodology · Statistics 2018-09-03 Linh Nghiem , Cornelis Potgieter

We consider survival data from a population with cured subjects in the presence of mismeasured covariates. We use the mixture cure model to account for the individuals that will never experience the event and at the same time distinguish…

Methodology · Statistics 2020-09-15 Eni Musta , Ingrid Van Keilegom

Continuous biomarkers are common for disease screening and diagnosis. To reach a dichotomous clinical decision, a threshold would be imposed to distinguish subjects with disease from non-diseased individuals. Among various performance…

Methodology · Statistics 2021-04-21 Ziyi Li , Yijuan Huang , Dattatraya Patil , Martin G. Sanda

The presence of measurement error is a widespread issue which, when ignored, can render the results of an analysis unreliable. Numerous corrections for the effects of measurement error have been proposed and studied, often under the…

Methodology · Statistics 2023-06-29 Dylan Spicker , Michael Wallace , Grace Yi

In this paper, we consider the single-index measurement error model with mismeasured covariates in the nonparametric part. To solve the problem, we develop a simulation-extrapolation (SIMEX) algorithm based on the local linear smoother and…

Methodology · Statistics 2016-11-22 Yiping Yang , Tiejun Tong , Gaorong Li

For a class of parametric modal regression models with measurement error, a simulation extrapolation estimation procedure is proposed in this paper for estimating the modal regression coefficients. Large sample properties of the proposed…

Methodology · Statistics 2019-10-04 Jianhong Shi , Yujing Zhang , Ping Yu , Weixing Song

In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

Methodology · Statistics 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

Identifying important biomarkers that are predictive for cancer patients' prognosis is key in gaining better insights into the biological influences on the disease and has become a critical component of precision medicine. The emergence of…

Methodology · Statistics 2016-03-22 Hyokyoung Grace Hong , Jian Kang , Yi Li

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

While extensive work has been done to correct for biases due to measurement error in scalar-valued covariates prone to errors in generalized linear regression models, limited work has been done to address biases associated with functional…

Methodology · Statistics 2023-05-16 Yuanyuan Luan , Roger S. Zoh , Sneha Jadhav , Lan Xue , Carmen D. Tekwe

There has been a lot of work fitting Ising models to multivariate binary data in order to understand the conditional dependency relationships between the variables. However, additional covariates are frequently recorded together with the…

Machine Learning · Statistics 2012-09-28 Jie Cheng , Elizaveta Levina , Pei Wang , Ji Zhu

We consider the problem of estimating the conditional distribution of a post-model-selection estimator where the conditioning is on the selected model. The notion of a post-model-selection estimator here refers to the combined procedure…

Statistics Theory · Mathematics 2007-11-06 Hannes Leeb , Benedikt M. Pötscher

Wearable devices enable the continuous monitoring of physical activity (PA) but generate complex functional data with poorly characterized errors. Most work on functional data views the data as smooth, latent curves obtained at discrete…

Methodology · Statistics 2024-04-17 Xiwei Chen , Yuanyuan Luan , Roger S. Zoh , Lan Xue , Sneha Jadhav , Carmen D. Tekwe

We propose a general modeling framework for marked Poisson processes observed over time or space. The modeling approach exploits the connection of the nonhomogeneous Poisson process intensity with a density function. Nonparametric Dirichlet…

Methodology · Statistics 2011-11-02 Matthew A. Taddy , Athanasios Kottas

In confirmatory clinical trials, survival outcomes are frequently studied and interim analyses for efficacy and/or futility are often desirable. Methods such as the log rank test and Cox regression model are commonly used to compare…

Methodology · Statistics 2024-03-27 Peter Zhang , Brent Logan , Michael Martens

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

Machine Learning · Statistics 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

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

In epidemiological studies, it is common to analyze disease risk by categorizing continuous variables, such as calorie and nutrient intake, for interpretability. When the original continuous variable is contaminated with measurement errors,…

Methodology · Statistics 2025-11-11 Huali Zhao , Tianying Wang
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