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In this paper the asymptotic distribution of estimators is derived in a general regression setting where rank restrictions on a submatrix of the coefficient matrix are imposed and the regressors can include stationary or I(1) processes.…

统计理论 · 数学 2012-11-08 Dietmar Bauer

Survival analysis is a fundamental area of focus in biomedical research, particularly in the context of personalized medicine. This prominence is due to the increasing prevalence of large and high-dimensional datasets, such as omics and…

机器学习 · 统计学 2024-08-23 Carlos García Meixide , Marcos Matabuena , Louis Abraham , Michael R. Kosorok

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…

统计方法学 · 统计学 2016-10-31 Kani Chen , Yuanyuan Lin , Yuan Yao , Chaoxu Zhou

In many randomized clinical trials of therapeutics for COVID-19, the primary outcome is an ordinal categorical variable, and interest focuses on the odds ratio (active agent vs. control) under the assumption of a proportional odds model.…

统计方法学 · 统计学 2021-08-25 Anastasios A. Tsiatis , Marie Davidian , Shannon T. Holloway

We study identification and estimation of endogenous linear and nonlinear regression models without excluded instrumental variables, based on the standard mean independence condition and a nonlinear relevance condition. Based on the…

计量经济学 · 经济学 2023-08-01 Wayne Yuan Gao , Rui Wang

A new sparse semiparametric model is proposed, which incorporates the influence of two functional random variables in a scalar response in a flexible and interpretable manner. One of the functional covariates is included through a…

统计方法学 · 统计学 2024-01-29 Silvia Novo , Philippe Vieu , Germán Aneiros

Nonresponse is common in surveys. When the response probability of a survey variable $Y$ depends on $Y$ through an observed auxiliary categorical variable $Z$ (i.e., the response probability of $Y$ is conditionally independent of $Y$ given…

统计方法学 · 统计学 2009-03-04 Fang Fang , Quan Hong , Jun Shao

Statistical inference with nonresponse is quite challenging, especially when the response mechanism is nonignorable. The existing methods often require correct model specifications for both outcome and response models. However, due to…

统计方法学 · 统计学 2018-09-12 Hejian Sang , Kosuke Morikawa

We consider quantile estimation in a semi-supervised setting, characterized by two available data sets: (i) a small or moderate sized labeled data set containing observations for a response and a set of possibly high dimensional covariates,…

统计方法学 · 统计学 2024-08-15 Abhishek Chakrabortty , Guorong Dai , Raymond J. Carroll

We investigate the asymptotic behavior of the Nadaraya-Watson estimator for the estimation of the regression function in a semiparametric regression model. On the one hand, we make use of the recursive version of the sliced inverse…

统计理论 · 数学 2012-02-27 Bernard Bercu , Thi Mong Ngoc Nguyen , Jerome Saracco

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

统计方法学 · 统计学 2020-08-04 Muxuan Liang , Menggang Yu

We propose a new reconstruction operator that aims to recover the missing parts of a function given the observed parts. This new operator belongs to a new, very large class of functional operators which includes the classical regression…

统计理论 · 数学 2019-05-14 Alois Kneip , Dominik Liebl

The empirical likelihood inference is extended to a class of semiparametric models for stationary, weakly dependent series. A partially linear single-index regression is used for the conditional mean of the series given its past, and the…

统计方法学 · 统计学 2021-05-18 Marie Du Roy de Chaumaray , Matthieu Marbac , Valentin Patilea

Rank estimation is a classical model order selection problem that arises in a variety of important statistical signal and array processing systems, yet is addressed relatively infrequently in the extant literature. Here we present sample…

统计方法学 · 统计学 2011-08-25 Patrick O. Perry , Patrick J. Wolfe

Consider measuring an n-dimensional vector x through the inner product with several measurement vectors, a_1, a_2, ..., a_m. It is common in both signal processing and statistics to assume the linear response model y_i = <a_i, x> + e_i,…

概率论 · 数学 2016-05-20 Yaniv Plan , Roman Vershynin , Elena Yudovina

Understanding treatment effect heterogeneity is vital to many scientific fields because the same treatment may affect different individuals differently. Quantile regression provides a natural framework for modeling such heterogeneity. We…

统计方法学 · 统计学 2023-07-12 Alexander Giessing , Jingshen Wang

Association models for a pair of random elements $X$ and $Y$ (e.g., vectors) are considered which specify the odds ratio function up to an unknown parameter $\bolds\theta$. These models are shown to be semiparametric in the sense that they…

统计理论 · 数学 2009-03-05 Gerhard Osius

Bayesian Additive Regression Trees (BART) is a flexible machine learning algorithm capable of capturing nonlinearities between an outcome and covariates and interaction among covariates. We extend BART to a semiparametric regression…

应用统计 · 统计学 2018-06-13 Bret Zeldow , Vincent Lo Re , Jason Roy

We consider the problem of predicting a real random variable from a functional explanatory variable. The problem is attacked by mean of nonparametric kernel approach which has been recently adapted to this functional context. We derive…

统计理论 · 数学 2016-08-16 Frédéric Ferraty , André Mas , Philippe Vieu

Analyses of randomised trials are often based on regression models which adjust for baseline covariates, in addition to randomised group. Based on such models, one can obtain estimates of the marginal mean outcome for the population under…

统计方法学 · 统计学 2017-07-17 Jonathan W. Bartlett