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In this paper, a unified approach is proposed to derive the exact local asymptotic power for panel unit root tests, which is one of the most important issues in nonstationary panel data literature. Two most widely used panel unit root tests…

计量经济学 · 经济学 2017-10-10 Zhongwen Liang

We consider the problem of testing, on the basis of a $p$-variate Gaussian random sample, the null hypothesis ${\cal H}_0: {\pmb \theta}_1= {\pmb \theta}_1^0$ against the alternative ${\cal H}_1: {\pmb \theta}_1 \neq {\pmb \theta}_1^0$,…

统计理论 · 数学 2019-01-01 Davy Paindaveine , Julien Remy , Thomas Verdebout

This paper revisits the Lagrange multiplier type test for the null hypothesis of no cross-sectional dependence in large panel data models. We propose a unified test procedure and its power enhancement version, which show robustness for a…

计量经济学 · 经济学 2023-03-01 Zhenhong Huang , Zhaoyuan Li , Jianfeng Yao

This paper derives several novel tests to improve on the t-test for testing AR(1) coefficients of panel time series, i.e., of multiple time series, when each has a small number of observations. These tests can determine the acceptance or…

统计理论 · 数学 2015-09-23 Yu-Pin Hu , J. T. Gene Hwang

Rare and Weak models for multiple hypothesis testing assume that only a small proportion of the tested hypotheses concern non-null effects and the individual effects are only moderately large, so they generally do not stand out…

统计理论 · 数学 2025-02-20 Alon Kipnis

This paper introduces a quasi-likelihood ratio testing procedure for diffusion processes observed under nonsynchronous sampling schemes. High-frequency data, particularly in financial econometrics, are often recorded at irregular time…

统计理论 · 数学 2025-03-25 Teppei Ogihara , Futo Ueno

Asymptotic equivalence in Le Cam's sense for nonparametric regression experiments is extended to the case of non-regular error densities, which have jump discontinuities at their endpoints. We prove asymptotic equivalence of such regression…

统计理论 · 数学 2011-01-28 Alexander Meister , Markus Reiß

One of the most widely applied unit root test, Phillips-Perron test, enjoys in general highpowers, but suffers from size distortions when moving average noise exists. As a remedy, thispaper proposes a nonparametric bootstrap unit root test…

统计方法学 · 统计学 2019-07-23 Nan Zou , Dimitris Politis

Subsampling and block-based bootstrap methods have been used in a wide range of inference problems for time series. To accommodate the dependence, these resampling methods involve a bandwidth parameter, such as subsampling window width and…

统计理论 · 数学 2012-04-05 Xiaofeng Shao , Dimitris N. Politis

We propose a bootstrap testing framework for a general class of hypothesis tests, which allows resampling under the null hypothesis as well as other forms of bootstrapping. We identify combinations of resampling schemes and bootstrap…

统计理论 · 数学 2025-12-12 Alexis Derumigny , Miltiadis Galanis , Wieger Schipper , Aad van der Vaart

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

This paper deals with the local asymptotic structure, in the sense of Le Cam's asymptotic theory of statistical experiments, of the signal detection problem in high dimension. More precisely, we consider the problem of testing the null…

统计理论 · 数学 2012-10-23 Alexei Onatski , Marcelo J. Moreira , Marc Hallin

We propose a new class of unit root tests that exploits invariance properties in the Locally Asymptotically Brownian Functional limit experiment associated to the unit root model. The invariance structures naturally suggest tests that are…

计量经济学 · 经济学 2020-09-18 Bo Zhou , Ramon van den Akker , Bas J. M. Werker

This paper studies the asymptotic power of tests of sphericity against perturbations in a single unknown direction as both the dimensionality of the data and the number of observations go to infinity. We establish the convergence, under the…

统计理论 · 数学 2013-06-21 Alexei Onatski , Marcelo J. Moreira , Marc Hallin

In shape-constrained nonparametric inference, it is often necessary to perform preliminary tests to verify whether a probability mass function (p.m.f.) satisfies qualitative constraints such as monotonicity, convexity, or in general…

统计理论 · 数学 2025-12-23 Fadoua Balabdaoui , Antonio Di Noia

This paper considers two-sided tests for the parameter of an endogenous variable in an instrumental variable (IV) model with heteroskedastic and autocorrelated errors. We develop the finite-sample theory of weighted-average power (WAP)…

统计理论 · 数学 2015-05-26 Humberto Moreira , Marcelo J. Moreira

We consider the problem of testing uniformity on high-dimensional unit spheres. We are primarily interested in non-null issues. We show that rotationally symmetric alternatives lead to two Local Asymptotic Normality (LAN) structures. The…

统计理论 · 数学 2016-04-28 Christine Cutting , Davy Paindaveine , Thomas Verdebout

We study a likelihood ratio test for detecting multiple {\it weak} changes in the mean of a class of CHARN models. The locally asymptotically normal (LAN) structure of the family of likelihoods under study is established. It results that…

统计理论 · 数学 2021-07-20 Joseph Ngatchou-Wandji , Marwa Ltaifa

The paper aims at reconsidering the famous Le Cam LAN theory. The main features of the approach which make it different from the classical one are as follows: (1) the study is nonasymptotic, that is, the sample size is fixed and does not…

统计理论 · 数学 2013-03-06 Vladimir Spokoiny

We introduce a new approach for comparing the predictive accuracy of two nested models that bypasses the difficulties caused by the degeneracy of the asymptotic variance of forecast error loss differentials used in the construction of…

计量经济学 · 经济学 2023-10-17 Jean-Yves Pitarakis
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