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We study the implications of including many covariates in a first-step estimate entering a two-step estimation procedure. We find that a first order bias emerges when the number of \textit{included} covariates is "large" relative to the…

计量经济学 · 经济学 2018-07-27 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

Nested-error regression models are widely used for analyzing clustered data. For example, they are often applied to two-stage sample surveys, and in biology and econometrics. Prediction is usually the main goal of such analyses, and…

统计理论 · 数学 2007-06-13 Peter Hall , Tapabrata Maiti

We consider a broad class of semiparametric regression models in which the conditional distribution of the response takes the form $f\{Y|\bf{x}^{\rm T}\boldsymbol{\beta}+m(z), \phi\}$, which is known up to a parametric component…

统计方法学 · 统计学 2026-05-12 Yuming Zhang , Yanyuan Ma , Xuming He , Stéphane Guerrier

It has been recently shown in the literature that the sample averages from online learning experiments are biased when used to estimate the mean reward. To correct the bias, off-policy evaluation methods, including importance sampling and…

机器学习 · 计算机科学 2021-12-02 Ningyuan Chen , Xuefeng Gao , Yi Xiong

We introduce a new adjusted residual maximum likelihood method (REML) in the context of producing an empirical Bayes (EB) confidence interval for a normal mean, a problem of great interest in different small area applications. Like other…

统计理论 · 数学 2014-08-29 Masayo Yoshimori , Partha Lahiri

When randomized ensemble methods such as bagging and random forests are implemented, a basic question arises: Is the ensemble large enough? In particular, the practitioner desires a rigorous guarantee that a given ensemble will perform…

机器学习 · 统计学 2019-08-06 Miles E. Lopes , Suofei Wu , Thomas C. M. Lee

This paper proposes a valid bootstrap-based distributional approximation for M-estimators exhibiting a Chernoff (1964)-type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method…

统计理论 · 数学 2020-06-01 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

统计理论 · 数学 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

Let $\hat\Sigma=\frac{1}{n}\sum_{i=1}^n X_i\otimes X_i$ denote the sample covariance operator of centered i.i.d.~observations $X_1,\dots,X_n$ in a real separable Hilbert space, and let $\Sigma=\mathbb{E}(X_1\otimes X_1)$. The focus of this…

统计理论 · 数学 2024-01-25 Miles E. Lopes

This paper develops a semiparametric Bayesian instrumental variable analysis method for estimating the causal effect of an endogenous variable when dealing with unobserved confounders and measurement errors with partly interval-censored…

统计方法学 · 统计学 2025-01-28 Elvis Han Cui , Xuyang Lu , Jin Zhou , Hua Zhou , Gang Li

We propose a nonparametric bootstrap procedure for two-phase stratified sampling without replacement. In this design, a weighted likelihood estimator is known to have smaller asymptotic variance than under the convenient assumption of…

统计理论 · 数学 2014-09-26 Takumi Saegusa

In the recent years, methods to estimate the memory parameter using wavelet analysis have gained popularity in many areas of science. Despite its widespread use, a rigorous semi-parametric asymptotic theory, comparable to the one developed…

统计理论 · 数学 2007-06-13 Eric Moulines , François Roueff , Murad Taqqu

Nonparametric methods play a central role in modern empirical work. While they provide inference procedures that are more robust to parametric misspecification bias, they may be quite sensitive to tuning parameter choices. We study the…

统计理论 · 数学 2018-07-27 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell

We consider the problem of performing linear regression over a stream of $d$-dimensional examples, and show that any algorithm that uses a subquadratic amount of memory exhibits a slower rate of convergence than can be achieved without…

机器学习 · 计算机科学 2020-10-13 Vatsal Sharan , Aaron Sidford , Gregory Valiant

Assessing sampling uncertainty in extremum estimation can be challenging when the asymptotic variance is not analytically tractable. Bootstrap inference offers a feasible solution but can be computationally costly especially when the model…

计量经济学 · 经济学 2020-09-15 Jean-Jacques Forneron , Serena Ng

Multivariate time series present many challenges, especially when they are high dimensional. The paper's focus is twofold. First, we address the subject of consistently estimating the autocovariance sequence; this is a sequence of matrices…

统计理论 · 数学 2015-06-03 Carsten Jentsch , Dimitris N. Politis

Matching pedestrians across multiple camera views known as human re-identification (re-identification) is a challenging problem in visual surveillance. In the existing works concentrating on feature extraction, representations are formed…

计算机视觉与模式识别 · 计算机科学 2016-07-29 Rahul Rama Varior , Bing Shuai , Jiwen Lu , Dong Xu , Gang Wang

Data entry constitutes a fundamental component of the machine learning pipeline, yet it frequently results in the introduction of labelling errors. When a model has been trained on a dataset containing such errors its performance is…

机器学习 · 计算机科学 2024-02-16 Stefan Schoepf , Jack Foster , Alexandra Brintrup

To identify the estimand in missing data problems and observational studies, it is common to base the statistical estimation on the "missing at random" and "no unmeasured confounder" assumptions. However, these assumptions are unverifiable…

统计方法学 · 统计学 2018-10-09 Qingyuan Zhao , Dylan S. Small , Bhaswar B. Bhattacharya

Regularized regression approaches such as the Lasso have been widely adopted for constructing sparse linear models in high-dimensional datasets. A complexity in fitting these models is the tuning of the parameters which control the level of…

统计方法学 · 统计学 2019-03-12 Ellis Patrick , Samuel Mueller