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The bias of an estimator is defined as the difference of its expected value from the parameter to be estimated, where the expectation is with respect to the model. Loosely speaking, small bias reflects the desire that if an experiment is…

统计方法学 · 统计学 2018-02-16 Ioannis Kosmidis

We consider estimation in a class of semiparametric transformation models for right--censored data. These models gained much attention in survival analysis; however, most authors consider only regression models derived from frailty…

统计理论 · 数学 2007-06-13 Dorota M. Dabrowska

Missing covariates are not uncommon in capture-recapture studies. When covariate information is missing at random in capture-recapture data, an empirical full likelihood method has been demonstrated to outperform…

统计方法学 · 统计学 2025-07-15 Yang Liu , Yukun Liu , Pengfei Li , Riquan Zhang

During the past few decades, missing-data problems have been studied extensively, with a focus on the ignorable missing case, where the missing probability depends only on observable quantities. By contrast, research into non-ignorable…

统计方法学 · 统计学 2019-08-06 Yukun Liu , Pengfei Li , Jing Qin

In this work we study the semi-supervised framework of confidence set classification with controlled expected size in minimax settings. We obtain semi-supervised minimax rates of convergence under the margin assumption and a H{\"o}lder…

统计理论 · 数学 2019-04-30 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri

We consider covariance parameter estimation for a Gaussian process under inequality constraints (boundedness, monotonicity or convexity) in fixed-domain asymptotics. We address the estimation of the variance parameter and the estimation of…

统计理论 · 数学 2021-11-04 François Bachoc , Agnès Lagnoux , Andrés F. López-Lopera

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

统计方法学 · 统计学 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

In this paper we propose a generalization of a class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter for long-range dependent multivariate time series. We generalize a known GSE-type estimator by…

统计理论 · 数学 2013-05-23 Guilherme Pumi , Sílvia R. C. Lopes

Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as well as large scale trends depending on observed covariates.…

统计方法学 · 统计学 2025-10-15 Ib Thorsgaard Jensen , Jean-François Coeurjolly , Rasmus Waagepetersen

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

Generalized linear models and the quasi-likelihood method extend the ordinary regression models to accommodate more general conditional distributions of the response. Nonparametric methods need no explicit parametric specification, and the…

统计理论 · 数学 2009-11-23 Jianqing Fan , Yichao Wu , Yang Feng

Bayesian inference typically relies on specifying a parametric model that approximates the data-generating process. However, misspecified models can yield poor convergence rates and unreliable posterior calibration. Bayesian empirical…

统计方法学 · 统计学 2025-10-27 Kenyon Ng , Weichang Yu , Howard D. Bondell

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

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

统计理论 · 数学 2026-05-06 Yannick Baraud

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

统计理论 · 数学 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

机器学习 · 计算机科学 2012-07-03 Qiang Liu , Alexander Ihler

There are many interesting and widely used estimators of a functional with finite semiparametric variance bound that depend on nonparametric estimators of nuisance functions. We use cross-fitting (i.e. sample splitting) to construct novel…

统计理论 · 数学 2018-01-30 Whitney K. Newey , James R. Robins

We introduce estimation and test procedures through divergence optimization for discrete or continuous parametric models. This approach is based on a new dual representation for divergences. We treat point estimation and tests for simple…

统计理论 · 数学 2008-12-02 Michel Broniatowski , Amor Keziou

We propose a new estimator for the high-dimensional linear regression model with observation error in the design where the number of coefficients is potentially larger than the sample size. The main novelty of our procedure is that the…

统计方法学 · 统计学 2019-09-09 Alexandre Belloni , Abhishek Kaul , Mathieu Rosenbaum

A novel estimation approach for a general class of semi-parametric multivariate time series models is introduced where the conditional mean is modeled through parametric functions. The focus of the estimation is the conditional mean…

统计方法学 · 统计学 2025-07-21 Mirko Armillotta