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This paper considers the problem of comparing two processes with panel data. A nonparametric test is proposed for detecting a monotone change in the link between the two process distributions. The test statistic is of CUSUM type, based on…

统计理论 · 数学 2011-05-04 Denys Pommeret , Mohamed Boutahar , Badih Ghattas

A low-degree polynomial model for a response curve is used commonly in practice. It generally incorporates a linear or quadratic function of the covariate. In this paper we suggest methods for testing the goodness of fit of a general…

统计理论 · 数学 2008-12-18 Peter Hall , Yanyuan Ma

We introduce a generic class of dynamic nonlinear heterogeneous parameter models that incorporate individual and time fixed effects in both the intercept and slope. These models are subject to the incidental parameter problem, in that the…

计量经济学 · 经济学 2026-01-27 Xuan Leng , Jiaming Mao , Yutao Sun

The application of machine learning models can be significantly impeded by the occurrence of distributional shifts, as the assumption of homogeneity between the population of training and testing samples in machine learning and statistics…

机器学习 · 统计学 2023-06-06 Wenlu Tang , Zicheng Liu

Randomization tests are based on a re-randomization of existing data to gain data-dependent critical values that lead to exact hypothesis tests under special circumstances. However, it is not always possible to re-randomize data in…

统计理论 · 数学 2021-10-20 Dennis Dobler

This paper investigates improved testing inferences under a general multivariate elliptical regression model. The model is very flexible in terms of the specification of the mean vector and the dispersion matrix, and of the choice of the…

统计理论 · 数学 2016-11-01 T. F. N. Melo , S. L. P. Ferrari , A. G. Patriota

We study the problem of robustly estimating the mean or location parameter without moment assumptions. We show that for a large class of symmetric distributions, the same error as in the Gaussian setting can be achieved efficiently. The…

数据结构与算法 · 计算机科学 2023-11-09 Gleb Novikov , David Steurer , Stefan Tiegel

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

机器学习 · 统计学 2024-12-10 Behrad Moniri , Hamed Hassani

Using cumulative residual processes, we propose joint goodness-of-fit tests for conditional means and variances functions in the context of nonlinear time series with martingale difference innovations. The main challenge comes from the fact…

统计方法学 · 统计学 2021-07-02 Kilani Ghoudi , Naâmane Laïb , Mohamed Chaouch

We consider the problem of statistical inference for the S distribution and introduce new minimum distance estimators for the four parameters of the S distribution using Kolmogorov-Smirnov, Cramer-von Mises and related distance metrics.…

数据分析、统计与概率 · 物理学 2007-05-23 Sergej V. Aksenov , Michael A. Savageau

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

计量经济学 · 经济学 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

统计方法学 · 统计学 2022-06-09 Katarzyna Maciejowska

We apply the concept of distance covariance for testing independence of two long-range dependent time series. As test statistic we propose a linear combination of empirical distance cross-covariances. We derive the asymptotic distribution…

统计理论 · 数学 2026-01-28 Annika Betken , Herold Dehling

In recent years, Bayesian nonparametric statistics has gathered extraordinary attention. Nonetheless, a relatively little amount of work has been expended on Bayesian nonparametric hypothesis testing. In this paper, a novel Bayesian…

统计理论 · 数学 2015-05-08 Luai Al Labadi , Emad Masuadi , Mahmoud Zarepour

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

We propose a new $L^2$-type goodness-of-fit test for the family of beta distributions based on a conditional moment characterisation. The asymptotic null distribution is identified, and since it depends on the underlying parameters, a…

统计方法学 · 统计学 2020-09-30 Bruno Ebner , Shawn C. Liebenberg

A method for an evaluation of the error between an unknown parameter and its estimator is developed. Its application enables us to preserve the asymptotic power of a constructed test. Testing problems in AR(1) and ARCH models are studied…

应用统计 · 统计学 2013-08-28 Tewfik Lounis

The paper proposes a specification test based on two estimates of distribution function. One is the traditional kernel distribution function estimate and the other is a newly proposed convolution-type distribution function estimate.…

统计理论 · 数学 2016-03-03 Kun Ho Kim , Jiwoong Kim

This paper considers a semiparametric generalized autoregressive conditional heteroskedasticity (S-GARCH) model. For this model, we first estimate the time-varying long run component for unconditional variance by the kernel estimator, and…

统计方法学 · 统计学 2020-10-05 Feiyu Jiang , Dong Li , Ke Zhu

We consider goodness-of-fit tests of symmetric stable distributions based on weighted integrals of the squared distance between the empirical characteristic function of the standardized data and the characteristic function of the standard…

统计理论 · 数学 2009-01-06 Muneya Matsui , Akimichi Takemura