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Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

统计方法学 · 统计学 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim

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…

统计方法学 · 统计学 2025-12-08 Harrison T. Reeder , Kyu Ha Lee , Sebastien Haneuse

The reliability assessment of a machine learning model's prediction is an important quantity for the deployment in safety critical applications. Not only can it be used to detect novel sceneries, either as out-of-distribution or anomaly…

机器学习 · 计算机科学 2022-05-12 Steve Dias Da Cruz , Bertram Taetz , Thomas Stifter , Didier Stricker

In the nonparametric regression setting, we construct an estimator which is a continuous function interpolating the data points with high probability, while attaining minimax optimal rates under mean squared risk on the scale of H\"older…

统计理论 · 数学 2022-06-28 Julien Chhor , Suzanne Sigalla , Alexandre B. Tsybakov

We investigate the moment estimation for an ergodic diffusion process with unknown trend coefficient. We consider nonparametric and parametric estimation. In each case, we present a lower bound for the risk and then construct an…

统计理论 · 数学 2011-11-10 Yury A. Kutoyants , Nakahiro Yoshida

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

This paper deals with improvement of linear quantile regression, when there are a few distinct values of the covariates but many replicates. On can improve asymptotic efficiency of the estimated regression coefficients by using suitable…

应用统计 · 统计学 2020-11-30 Kaushik Jana , Debasis Sengupta

In this paper, we consider a partial deconvolution kernel estimator for nonparametric regression when some covariates are measured with error while others are observed without error. We focus on a general and realistic setting in which the…

统计理论 · 数学 2026-01-29 Baba Thiam

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

统计方法学 · 统计学 2023-09-13 Cole Manschot , Emily C. Hector

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

统计方法学 · 统计学 2014-07-07 Daniell Toth , John Eltinge

We reexamine the classical linear regression model when the model is subject to two types of uncertainty: (i) some of covariates are either missing or completely inaccessible, and (ii) the variance of the measurement error is undetermined…

统计理论 · 数学 2021-08-05 Shuzhen Yang , Jianfeng Yao

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

计量经济学 · 经济学 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

In this article we study the asymptotic predictive optimality of a model selection criterion based on the cross-validatory predictive density, already available in the literature. For a dependent variable and associated explanatory…

统计理论 · 数学 2008-12-18 Arijit Chakrabarti , Tapas Samanta

We propose a novel approximate factor model tailored for analyzing time-dependent curve data. Our model decomposes such data into two distinct components: a low-dimensional predictable factor component and an unpredictable error term. These…

计量经济学 · 经济学 2025-02-26 Sven Otto , Nazarii Salish

It is widely admitted that structured nonparametric modeling that circumvents the curse of dimensionality is important in nonparametric estimation. In this paper we show that the same holds for semi-parametric estimation. We argue that…

统计理论 · 数学 2011-04-25 Kyusang Yu , Enno Mammen , Byeong U. Park

This paper is concerned with a semiparametric partially linear regression model with unknown regression coefficients, an unknown nonparametric function for the non-linear component, and unobservable Gaussian distributed random errors. We…

统计理论 · 数学 2016-08-16 Irène Gannaz

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

Structural Nested Mean Models (SNMMs) are useful for causal inference of treatment effects in longitudinal observational studies. Most existing works assume that the data are collected at pre-fixed time points for all subjects, which,…

统计方法学 · 统计学 2020-01-13 Shu Yang

This paper proposes a simple and efficient estimation procedure for the model with non-ignorable missing data studied by Morikawa and Kim (2016). Their semiparametrically efficient estimator requires explicit nonparametric estimation and so…

统计方法学 · 统计学 2018-01-15 Chunrong Ai , Oliver Linton , Zheng Zhang

Recommending the best course of action for an individual is a major application of individual-level causal effect estimation. This application is often needed in safety-critical domains such as healthcare, where estimating and communicating…

机器学习 · 计算机科学 2020-10-26 Andrew Jesson , Sören Mindermann , Uri Shalit , Yarin Gal
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