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We are concerned with nonparametric hypothesis testing of time series functionals. It is known that the popular autoregressive sieve bootstrap is, in general, not valid for statistics whose (asymptotic) distribution depends on moments of…

统计方法学 · 统计学 2020-10-21 Natalia Sirotko-Sibirskaya , Matthias O. Franz , Thorsten Dickhaus

This paper highlights a tension between semiparametric efficiency and bootstrap consistency in the context of a canonical semiparametric estimation problem, namely the problem of estimating the average density. It is shown that although…

计量经济学 · 经济学 2020-12-22 Matias D. Cattaneo , Michael Jansson

We consider hypothesis testing for the null hypothesis being represented as an arbitrary-shaped region in the parameter space. We compute an approximate p-value by counting how many times the null hypothesis holds in bootstrap replicates.…

统计理论 · 数学 2014-05-21 Hidetoshi Shimodaira

For a Bayesian, the task to define the likelihood can be as perplexing as the task to define the prior. We focus on situations when the parameter of interest has been emancipated from the likelihood and is linked to data directly through a…

统计计算 · 统计学 2022-06-01 Lizhen Nie , Veronika Rockova

Cross-Validation (CV), and out-of-sample performance-estimation protocols in general, are often employed both for (a) selecting the optimal combination of algorithms and values of hyper-parameters (called a configuration) for producing the…

机器学习 · 计算机科学 2017-08-28 Ioannis Tsamardinos , Elissavet Greasidou , Michalis Tsagris , Giorgos Borboudakis

A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

统计理论 · 数学 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

We consider statistical inference for a single coordinate of regression coefficients in high-dimensional linear models. Recently, the debiased estimators are popularly used for constructing confidence intervals and hypothesis testing in…

统计理论 · 数学 2020-10-20 Sai Li

Consider $M$-estimation in a semiparametric model that is characterized by a Euclidean parameter of interest and an infinite-dimensional nuisance parameter. As a general purpose approach to statistical inferences, the bootstrap has found…

统计理论 · 数学 2011-02-04 Guang Cheng , Jianhua Z. Huang

We propose algorithms for addressing the bias of the posterior mean when used as an estimator of parameters. These algorithms build upon the recently proposed Bayesian infinitesimal jackknife approximation (Giordano and Broderick (2023))…

统计方法学 · 统计学 2024-09-06 Yukito Iba

The bootstrap provides a simple and powerful means of assessing the quality of estimators. However, in settings involving large datasets, the computation of bootstrap-based quantities can be prohibitively demanding. As an alternative, we…

机器学习 · 计算机科学 2012-07-03 Ariel Kleiner , Ameet Talwalkar , Purnamrita Sarkar , Michael Jordan

Parametric empirical Bayes (EB) estimators have been widely used in variety of fields including small area estimation, disease mapping. Since EB estimator is constructed by plugging in the estimator of parameters in prior distributions, it…

统计方法学 · 统计学 2017-04-28 Shonosuke Sugasawa

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

计量经济学 · 经济学 2022-01-28 Ayden Higgins , Koen Jochmans

Inference for high-dimensional logistic regression models using penalized methods has been a challenging research problem. As an illustration, a major difficulty is the significant bias of the Lasso estimator, which limits its direct…

统计方法学 · 统计学 2024-10-29 Yuming Zhang , Stéphane Guerrier , Runze Li

This work proposes a new minimum distance estimator (MDE) for the parameters of short and long memory models. This bias corrected minimum distance estimator (BCMDE) considers a correction in the usual MDE to account for the bias of the…

统计方法学 · 统计学 2018-09-21 Gustavo C. Lana , Glaura C. Franco , Sokol Ndreca

In this paper, we show that the adaptive multidimensional increment ratio estimator of the long range memory parameter defined in Bardet and Dola (2012) satisfies a central limit theorem (CLT in the sequel) for a large semiparametric class…

统计理论 · 数学 2012-12-19 Jean-Marc Bardet , Béchir Dola

This paper introduces a local optimization-based approach to test statistical hypotheses and to construct confidence intervals. This approach can be viewed as an extension of bootstrap, and yields asymptotically valid tests and confidence…

统计方法学 · 统计学 2015-04-21 Shifeng Xiong

Bootstrap is a principled and powerful frequentist statistical tool for uncertainty quantification. Unfortunately, standard bootstrap methods are computationally intensive due to the need of drawing a large i.i.d. bootstrap sample to…

机器学习 · 计算机科学 2022-09-02 Mao Ye , Qiang Liu

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

应用统计 · 统计学 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson

Modern problems in statistics tend to include estimators of high computational complexity and with complicated distributions. Statistical inference on such estimators usually relies on asymptotic normality assumptions, however, such…

统计方法学 · 统计学 2016-12-08 Eyal Fisher , Regev Schweiger , Saharon Rosset

The recent emergence of reinforcement learning has created a demand for robust statistical inference methods for the parameter estimates computed using these algorithms. Existing methods for statistical inference in online learning are…

机器学习 · 统计学 2022-06-29 Pratik Ramprasad , Yuantong Li , Zhuoran Yang , Zhaoran Wang , Will Wei Sun , Guang Cheng