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We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

统计方法学 · 统计学 2020-06-22 Haiming Zhou , Xianzheng Huang

This paper presents a model selection technique of estimation in semiparametric regression models of the type Y_i=\beta^{\prime}\underbarX_i+f(T_i)+W_i, i=1,...,n. The parametric and nonparametric components are estimated simultaneously by…

统计理论 · 数学 2007-06-13 Florentina Bunea

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

统计理论 · 数学 2007-10-22 Odile Pons

We develop inference procedures for longitudinal data where some of the measurements are censored by fixed constants. We consider a semi-parametric quantile regression model that makes no distributional assumptions. Our research is…

统计理论 · 数学 2009-04-02 Huixia Judy Wang , Mendel Fygenson

We study a regression problem where for some part of the data we observe both the label variable ($Y$) and the predictors (${\bf X}$), while for other part of the data only the predictors are given. Such a problem arises, for example, when…

统计理论 · 数学 2021-04-14 David Azriel , Lawrence D. Brown , Michael Sklar , Richard Berk , Andreas Buja , Linda Zhao

In this paper, we consider a generalized multivariate regression problem where the responses are monotonic functions of linear transformations of predictors. We propose a semi-parametric algorithm based on the ordering of the responses…

机器学习 · 统计学 2016-02-22 Milad Kharratzadeh , Mark Coates

Let $ (T_i)_i$ be a sequence of independent identically distributed (i.i.d.) random variables (r.v.) of interest distributed as $ T$ and $(X_i)_i$ be a corresponding vector of covariates taking values on $ \mathbb{R}^d$. In censorship…

统计理论 · 数学 2019-01-29 Bouhadjera Feriel , Ould Saïd , Mohamed Remita

We study the identification and estimation of statistical functionals of multivariate data missing non-monotonically and not-at-random, taking a semiparametric approach. Specifically, we assume that the missingness mechanism satisfies what…

统计方法学 · 统计学 2022-12-26 Daniel Malinsky , Ilya Shpitser , Eric J Tchetgen Tchetgen

We consider linear regression model estimation where the covariate of interest is randomly censored. Under a non-informative censoring mechanism, one may obtain valid estimates by deleting censored observations. However, this comes at a…

应用统计 · 统计学 2017-10-24 Folefac Atem , Roland A. Matsouaka

In this paper, we introduce new parametric and semiparametric regression techniques for a recurrent event process subject to random right censoring. We develop models for the cumula- tive mean function and provide asymptotically normal…

统计理论 · 数学 2015-03-17 Olivier Bouaziz , Ségolen Geffray , Olivier Lopez

Linear regression studies the problem of estimating a model parameter $\beta^* \in \mathbb{R}^p$, from $n$ observations $\{(y_i,\mathbf{x}_i)\}_{i=1}^n$ from linear model $y_i = \langle \mathbf{x}_i,\beta^* \rangle + \epsilon_i$. We…

机器学习 · 统计学 2015-05-14 Xinyang Yi , Zhaoran Wang , Constantine Caramanis , Han Liu

Consider the nonlinear regression model $Y_i=g({\bf x}_i,\boldmath $\theta$)+e_i,\quad i=1,...,n$(1) with ${\bf x}_i\in \mathbb{R}^k,$ $\boldmath{\theta}=(\theta_0,\theta_1,...,\theta_p)^{\prime}\in \boldmath $\Theta$$ (compact in…

统计理论 · 数学 2008-12-18 Jana Jurečková

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…

统计理论 · 数学 2011-02-10 Oliver Linton , Enno Mammen , Jens Perch Nielsen , Ingrid Van Keilegom

Consider a random vector (X',Y)', where X is d-dimensional and Y is one-dimensional. We assume that Y is subject to random right censoring. The aim of this paper is twofold. First, we propose a new estimator of the joint distribution of…

统计理论 · 数学 2013-09-18 Olivier Lopez , Valentin Patilea , Ingrid Van Keilegom

In this article, we propose some new generalizations of M-estimation procedures for single-index regression models in presence of randomly right-censored responses. We derive consistency and asymptotic normality of our estimates. The…

统计理论 · 数学 2008-12-18 Olivier Lopez

We investigate a semiparametric regression model where one gets noisy non linear non invertible functions of the observations. We focus on the application to bearings-only tracking. We first investigate the least squares estimator and prove…

统计理论 · 数学 2008-12-17 Elisabeth Gassiat , Benoit Landelle

In this paper, we study a novel approach for the estimation of quantiles when facing potential right censoring of the responses. Contrary to the existing literature on the subject, the adopted strategy of this paper is to tackle censoring…

统计方法学 · 统计学 2017-03-24 Mickaël De Backer , Anouar El Ghouch , Ingrid Van Keilegom

We study a linear high-dimensional regression model in a semi-supervised setting, where for many observations only the vector of covariates $X$ is given with no response $Y$. We do not make any sparsity assumptions on the vector of…

统计理论 · 数学 2021-09-03 Ilan Livne , David Azriel , Yair Goldberg

This paper presents a unified rank-based inferential procedure for fitting the accelerated failure time model to partially interval-censored data. A Gehan-type monotone estimating function is constructed based on the idea of the familiar…

统计方法学 · 统计学 2026-04-14 Taehwa Choi , Sangbum Choi , Dipankar Bandyopadhyay

In this paper, we consider the nonparametric random regression model $Y=f_1(X_1)+f_2(X_2)+\epsilon$ and address the problem of estimating the function $f_1$. The term $f_2(X_2)$ is regarded as a nuisance term which can be considerably more…

统计理论 · 数学 2015-02-03 Martin Wahl
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