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I propose a nonparametric iid bootstrap that achieves asymptotic refinements for t tests and confidence intervals based on GMM estimators even when the model is misspecified. In addition, my bootstrap does not require recentering the moment…

计量经济学 · 经济学 2026-02-03 Seojeong Lee

We consider penalized extremum estimation of a high-dimensional, possibly nonlinear model that is sparse in the sense that most of its parameters are zero but some are not. We use the SCAD penalty function, which provides model selection…

计量经济学 · 经济学 2024-02-23 Joel L. Horowitz , Ahnaf Rafi

One of the most commonly used methods for forming confidence intervals for statistical inference is the empirical bootstrap, which is especially expedient when the limiting distribution of the estimator is unknown. However, despite its…

统计理论 · 数学 2020-11-24 Morgane Austern , Vasilis Syrgkanis

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

统计方法学 · 统计学 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

统计理论 · 数学 2024-04-19 Zhou Tang , Ted Westling

Model misspecification is ubiquitous in data analysis because the data-generating process is often complex and mathematically intractable. Therefore, assessing estimation uncertainty and conducting statistical inference under a possibly…

统计方法学 · 统计学 2023-12-19 Rong Li , Yichen Qin , Yang Li

We consider bootstrap inference for estimators which are (asymptotically) biased. We show that, even when the bias term cannot be consistently estimated, valid inference can be obtained by proper implementations of the bootstrap.…

计量经济学 · 经济学 2023-11-09 Giuseppe Cavaliere , Sílvia Gonçalves , Morten Ørregaard Nielsen , Edoardo Zanelli

Inference methods for computing confidence intervals in parametric settings usually rely on consistent estimators of the parameter of interest. However, it may be computationally and/or analytically burdensome to obtain such estimators in…

统计方法学 · 统计学 2024-09-20 Samuel Orso , Mucyo Karemera , Maria-Pia Victoria-Feser , Stéphane Guerrier

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

统计计算 · 统计学 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

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

Accurate statistical inference in logistic regression models remains a critical challenge when the ratio between the number of parameters and sample size is not negligible. This is because approximations based on either classical asymptotic…

统计方法学 · 统计学 2022-08-19 Qian Zhao , Emmanuel J. Candes

The maximum likelihood estimator in nonlinear panel data models with interactive fixed effects is biased. Several bias correction methods, such as analytical and jackknife approaches, have been proposed to enable valid inference. This paper…

计量经济学 · 经济学 2026-04-30 Haoyuan Xu , Wei Miao , Geert Dhaene , Jad Beyhum

This study focuses on finite-sample inference on the non-linear Bures-Wasserstein manifold and introduces a generalized bootstrap procedure for estimating Bures-Wasserstein barycenters. We provide non-asymptotic statistical guarantees for…

统计理论 · 数学 2024-11-26 Alexey Kroshnin , Vladimir Spokoiny , Alexandra Suvorikova

Inference about a scalar parameter of interest typically relies on the asymptotic normality of common likelihood pivots, such as the signed likelihood root, the score and Wald statistics. Nevertheless, the resulting inferential procedures…

统计理论 · 数学 2022-01-07 Ruggero Bellio , Ioannis Kosmidis , Alessandra Salvan , Nicola Sartori

Approximately unbiased tests based on bootstrap probabilities are considered for the exponential family of distributions with unknown expectation parameter vector, where the null hypothesis is represented as an arbitrary-shaped region with…

统计理论 · 数学 2013-12-24 Hidetoshi Shimodaira

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

应用统计 · 统计学 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

The paper proposes a new bootstrap approach to the Pesaran, Shin and Smith's bound tests in a conditional equilibrium correction model with the aim to overcome some typical drawbacks of the latter, such as inconclusive inference and…

计量经济学 · 经济学 2022-04-12 Stefano Bertelli , Gianmarco Vacca , Maria Grazia Zoia

Empirical likelihood is an attractive inferential framework that respects natural parameter boundaries, but existing approaches typically require smoothness of the functional and miscalibrate substantially when these assumptions are…

统计方法学 · 统计学 2026-03-31 Hongseok Namkoong

We consider the problem of finding confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides…

统计理论 · 数学 2017-12-01 Robert Lunde , Cosma Rohilla Shalizi

This article extends the scope of empirical likelihood methodology in three directions: to allow for plug-in estimates of nuisance parameters in estimating equations, slower than $\sqrt{n}$-rates of convergence, and settings in which there…

统计理论 · 数学 2009-04-21 Nils Lid Hjort , Ian W. McKeague , Ingrid Van Keilegom
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