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Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

Methodology · Statistics 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

In this paper, we derive the joint distribution of progression-free and overall survival as a function of transition probabilities in a multistate model. No assumptions on copulae or latent event times are needed and the model is allowed to…

Methodology · Statistics 2018-10-26 Matthias Meller , Jan Beyersmann , Kaspar Rufibach

Mixture cure models have been widely used to analyze survival data with a cure fraction. They assume that a subgroup of the individuals under study will never experience the event (cured subjects). So, the goal is twofold: to study both the…

Methodology · Statistics 2024-02-01 Ana López-Cheda , M. Amalia Jácome , Ignacio López-de-Ullibarri

Unsupervised estimation of the dimensionality of hyperspectral microspectroscopy datasets containing pure and mixed spectral features, and extraction of their representative endmember spectra, remains a challenge in biochemical data mining.…

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

Methodology · Statistics 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

The case-control sampling design serves as a pivotal strategy in mitigating the imbalanced structure observed in binary data. We consider the estimation of a non-parametric logistic model with the case-control data supplemented by external…

Machine Learning · Statistics 2024-09-04 Hengchao Shi , Ming Zheng , Wen Yu

Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

Statistics Theory · Mathematics 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

Competing risk data appear widely in modern biomedical research. Cause-specific hazard models are often used to deal with competing risk data in the past two decades. There is no current study on the kernel likelihood method for the…

Methodology · Statistics 2021-09-14 Xiaomeng Qi , Zhangsheng Yu

Lung cancer has a high rate of recurrence in early-stage patients. Predicting the post-surgical recurrence in lung cancer patients has traditionally been approached using single modality information of genomics or radiology images. We…

Image and Video Processing · Electrical Eng. & Systems 2020-02-07 Vaishnavi Subramanian , Minh N. Do , Tanveer Syeda-Mahmood

We consider regression analysis in the context of data integration. To combine partial information from external sources, we employ the idea of model calibration which introduces a "working" reduced model based on the observed covariates.…

Methodology · Statistics 2022-10-13 Zhonglei Wang , Hang J. Kim , Jae Kwang Kim

We propose a versatile framework for survival analysis that combines advanced concepts from statistics with deep learning. The presented framework is based on piecewise exponential models and thereby supports various survival tasks, such as…

Machine Learning · Computer Science 2021-03-02 Philipp Kopper , Sebastian Pölsterl , Christian Wachinger , Bernd Bischl , Andreas Bender , David Rügamer

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

Methodology · Statistics 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

Methodology · Statistics 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

Semiparametric regression offers a flexible framework for modeling non-linear relationships between a response and covariates. A prime example are generalized additive models where splines (say) are used to approximate non-linear functional…

Statistics Theory · Mathematics 2018-10-05 Francis K. C. Hui , Chong You , Han Lin Shang , Samuel Müller

New methods and theory have recently been developed to nonparametrically estimate cumulative incidence functions for competing risks survival data subject to current status censoring. In particular, the limiting distribution of the…

Methodology · Statistics 2012-01-12 Marloes H. Maathuis , Michael G. Hudgens

Data sharing barriers are paramount challenges arising from multicenter clinical trials where multiple data sources are stored in a distributed fashion at different local study sites. Merging such data sources into a common data storage for…

Methodology · Statistics 2022-04-05 Mengtong Hu , Xu Shi , Peter X. -K. Song

We address the problem of integrating data from multiple, possibly biased, observational and interventional studies, to eventually compute counterfactuals in structural causal models. We start from the case of a single observational dataset…

Artificial Intelligence · Computer Science 2023-03-17 Marco Zaffalon , Alessandro Antonucci , David Huber , Rafael Cabañas

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

Statistics Theory · Mathematics 2011-05-09 Guang Cheng , Xiao Wang

We present a general principle for estimating a regression function nonparametrically, allowing for a wide variety of data filtering, for example, repeated left truncation and right censoring. Both the mean and the median regression cases…

Statistics Theory · Mathematics 2011-02-10 Oliver Linton , Enno Mammen , Jens Perch Nielsen , Ingrid Van Keilegom

In lifetime data, like cancer studies, theremay be long term survivors, which lead to heavy censoring at the end of the follow-up period. Since a standard survival model is not appropriate to handle these data, a cure model is needed. In…

Methodology · Statistics 2024-01-31 Ana López-Cheda , M. Amalia Jácome , Ingrid Van Keilegom , Ricardo Cao