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We complement the theory developed in Preinerstorfer and P\"otscher (2016) with further finite sample results on size and power of heteroskedasticity and autocorrelation robust tests. These allows us, in particular, to show that the…

统计理论 · 数学 2019-10-08 Benedikt M. Pötscher , David Preinerstorfer

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

Testing restrictions on regression coefficients in linear models often requires correcting the conventional F-test for potential heteroskedasticity or autocorrelation amongst the disturbances, leading to so-called heteroskedasticity and…

统计理论 · 数学 2016-12-21 David Preinerstorfer , Benedikt M. Pötscher

We consider inference in linear regression models that is robust to heteroskedasticity and the presence of many control variables. When the number of control variables increases at the same rate as the sample size the usual…

统计理论 · 数学 2020-09-29 Koen Jochmans

In this paper we extend the work in the conference paper 'On the Controllability and Observability of Heterogeneous Networked Systems with distinct node dimensions and inner-coupling matrices' wherein the controllability and observability…

最优化与控制 · 数学 2024-10-18 Aleena Thomas , Abhijith Ajayakumar , Raju K. George

Autocorrelation robust tests are notorious for suffering from size distortions and power problems. We investigate under which conditions the size of autocorrelation robust tests can be controlled by an appropriate choice of critical value.

统计理论 · 数学 2018-11-06 Benedikt M. Pötscher , David Preinerstorfer

This paper introduces a new method for testing the statistical significance of estimated parameters in predictive regressions. The approach features a new family of test statistics that are robust to the degree of persistence of the…

计量经济学 · 经济学 2025-02-04 Jean-Yves Pitarakis

Tests based on heteroskedasticity robust standard errors are an important technique in econometric practice. Choosing the right critical value, however, is not simple at all: conventional critical values based on asymptotics often lead to…

统计理论 · 数学 2025-05-07 Benedikt M. Pötscher , David Preinerstorfer

Heteroscedasticity testing is of importance in regression analysis. Existing local smoothing tests suffer severely from curse of dimensionality even when the number of covariates is moderate because of use of nonparametric estimation. In…

统计方法学 · 统计学 2015-10-14 Xuehu Zhu , Fei Chen , Xu Guo , Lixing Zhu

In this paper we focus on providing sufficient conditions for some well-known stochastic orders in reliability but dealing with the discrete versions of them, filling a gap in the literature. In particular, we find conditions based on the…

统计理论 · 数学 2026-01-28 F. Belzunce , C. Martínez-Riquelme , M. Pereda

In this article, we derive first-order necessary optimality conditions for a constrained optimal control problem formulated in the Wasserstein space of probability measures. To this end, we introduce a new notion of localised metric…

最优化与控制 · 数学 2021-04-28 Benoît Bonnet , Hélène Frankowska

We develop theoretical finite-sample results concerning the size of wild bootstrap-based heteroskedasticity robust tests in linear regression models. In particular, these results provide an efficient diagnostic check, which can be used to…

统计理论 · 数学 2023-08-17 Benedikt M. Pötscher , David Preinerstorfer

This paper proposes an overidentifying restriction test for high-dimensional linear instrumental variable models. The novelty of the proposed test is that it allows the number of covariates and instruments to be larger than the sample size.…

计量经济学 · 经济学 2024-05-08 Qingliang Fan , Zijian Guo , Ziwei Mei

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

最优化与控制 · 数学 2008-05-13 Xinjia Chen , Kemin Zhou

We consider controllability for divergence-free systems that have a conserved quantity and satisfy a H\"ormander condition. It is shown that such systems are controllable, provided that the conserved quantity is a proper function. The proof…

数学物理 · 物理学 2008-02-27 Martin Hairer

We introduce a test for the conditional independence of random variables $X$ and $Y$ given a random variable $Z$, specifically by sampling from the joint distribution $(X,Y,Z)$, binning the support of the distribution of $Z$, and conducting…

统计理论 · 数学 2024-02-05 Andrew Warren

This paper is to prove the asymptotic normality of a statistic for detecting the existence of heteroscedasticity for linear regression models without assuming randomness of covariates when the sample size $n$ tends to infinity and the…

统计理论 · 数学 2018-06-11 Zhidong Bai , Guangming Pan , Yanqing Yin

This paper develops a consistent heteroskedasticity robust Lagrange Multiplier (LM) type specification test for semiparametric conditional mean models. Consistency is achieved by turning a conditional moment restriction into a growing…

计量经济学 · 经济学 2019-11-12 Ivan Korolev

Statistical inference for high-dimensional regression heteroskedasticity is an important but under-explored problem. The current paper aims at filling this gap by proposing two tests, namely the variance difference test and the variance…

统计方法学 · 统计学 2022-12-06 Chi Chien-Ming

This paper develops sharp Hautus-type criteria, stochastic counterparts of the classical Popov-Belevitch-Hautus test, for exact controllability and stabilizability of backwardstructured stochastic linear systems. The main finding is that…

最优化与控制 · 数学 2026-05-28 Jingrui Sun
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