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Given independent samples from P and Q, two-sample permutation tests allow one to construct exact level tests when the null hypothesis is P=Q. On the other hand, when comparing or testing particular parameters $\theta$ of P and Q, such as…

统计理论 · 数学 2013-04-23 EunYi Chung , Joseph P. Romano

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

统计理论 · 数学 2020-09-09 Joseph P. Romano , Marius A. Tirlea

We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile…

统计理论 · 数学 2009-08-25 Rui Song , Michael R. Kosorok , Jason P. Fine

Identification-robust hypothesis tests are commonly based on the continuous updating GMM objective function. When the number of moment conditions grows proportionally with the sample size, the large-dimensional weighting matrix prohibits…

计量经济学 · 经济学 2025-10-10 Tom Boot , Johannes W. Ligtenberg

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

统计方法学 · 统计学 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

计量经济学 · 经济学 2023-10-11 Zhenting Sun

A fundamental assumption of classical hypothesis testing is that the significance threshold $\alpha$ is chosen independently from the data. The validity of confidence intervals likewise relies on choosing $\alpha$ beforehand. We point out…

应用统计 · 统计学 2025-03-11 Jesse Hemerik , Nick W Koning

Asymptotic methods for hypothesis testing in high-dimensional data usually require the dimension of the observations to increase to infinity, often with an additional condition on its rate of increase compared to the sample size. On the…

统计理论 · 数学 2024-03-26 Joydeep Chowdhury , Subhajit Dutta , Marc G. Genton

Randomization tests rely on simple data transformations and possess an appealing robustness property. In addition to being finite-sample valid if the data distribution is invariant under the transformation, these tests can be asymptotically…

统计方法学 · 统计学 2024-04-23 Panos Toulis

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

Allowing for adversarial contamination and heavy tails, we study testing whether the mean of a high-dimensional random vector equals zero. Because standard max-tests based on sample averages are highly non-robust, we propose a max-test…

统计理论 · 数学 2026-05-12 Anders Bredahl Kock , David Preinerstorfer

The validity of classical hypothesis testing requires the significance level $\alpha$ be fixed before any statistical analysis takes place. This is a stringent requirement. For instance, it prohibits updating $\alpha$ during (or after) an…

统计理论 · 数学 2026-01-21 Ben Chugg , Tyron Lardy , Aaditya Ramdas , Peter Grünwald

We propose a hypothesis test that allows for many tested restrictions in a heteroskedastic linear regression model. The test compares the conventional F statistic to a critical value that corrects for many restrictions and conditional…

计量经济学 · 经济学 2023-01-24 Stanislav Anatolyev , Mikkel Sølvsten

In a recent simulation study, Goodman et al. (2019) compare several methods with regard to their type I and type II error rates in case of a thick null hypothesis that includes all values that are practically equivalent to the point null…

统计方法学 · 统计学 2022-06-07 Robin Tim Dreher , Leona Hoffmann , Arne Kramer-Sunderbrink , Peter Pütz , Robin Werner

For the mean vector test in high dimension, Ayyala et al.(2017,153:136-155) proposed new test statistics when the observational vectors are M dependent. Under certain conditions, the test statistics for one-same and two-sample cases were…

统计理论 · 数学 2019-04-23 Seonghun Cho , Johan Lim , Deepak Nag Ayyala , Junyong Park , Anindya Roy

The probability of accepting a candidate move in the hybrid Monte Carlo algorithm can be increased by considering a transition to be between windows of several states at the beginning and end of the trajectory, with a state within the…

高能物理 - 格点 · 物理学 2008-02-03 R. M. Neal

A non parametric method based on the empirical likelihood is proposed for detecting the change in the coefficients of high-dimensional linear model where the number of model variables may increase as the sample size increases. This amounts…

统计理论 · 数学 2015-06-22 Gabriela Ciuperca , Zahraa Salloum

There exist a number of tests for assessing the nonparametric heteroscedastic location-scale assumption. Here we consider a goodness-of-fit test for the more general hypothesis of the validity of this model under a parametric functional…

统计理论 · 数学 2020-01-01 Marie Hušková , Simos G. Meintanis , Charl Pretorius

We study the asymptotic behaviour of widely used tests for evaluating and comparing predictive accuracy when forecast errors exhibit heavy tails. In particular, when loss differentials have infinite variance, the Diebold-Mariano test…

统计方法学 · 统计学 2026-05-20 Jonas F. Frederiksen , Muneya Matsui , Rasmus S. Pedersen

We give a hybrid two stage design which can be useful to estimate the reliability of a parallel-series and/or by duality a series-parallel system, when the component reliabilities are unknown as well as the total numbers of units allowed to…

应用统计 · 统计学 2012-12-27 Zohra Benkamra , Mekki Terbeche , Mounir Tlemcani
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