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相关论文: Testing for unit roots based on sample autocovaria…

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This paper provides some useful tests for fitting a parametric single-index regression model when covariates are measured with error and validation data is available. We propose two tests whose consistency rates do not depend on the…

统计方法学 · 统计学 2016-04-29 Hira L. Koul , Chuanlong Xie , Lixing Zhu

The proposed Goodness--of--Fit (GoF) test for checking the linear autocorrelation model in a functional time series is based on an empirical process, whose residual marks and covariate index set are in a separable Hilbert space \mathbb{H}.…

统计理论 · 数学 2026-05-29 W. González-Manteiga , M. D. Ruiz-Medina , M. Febrero-Bande

We propose a novel method for testing the null hypothesis of no effect of a covariate on the response in the context of functional linear concurrent regression. We establish an equivalent random effects formulation of our functional…

统计方法学 · 统计学 2019-12-16 Rahul Ghosal , Arnab Maity

This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

统计理论 · 数学 2020-06-01 Rémy Mariétan , Stephan Morgenthaler

We consider the problem of testing significance of predictors in multivariate nonparametric quantile regression. A stochastic process is proposed, which is based on a comparison of the responses with a nonparametric quantile regression…

统计方法学 · 统计学 2012-06-15 Stanislav Volgushev , Melanie Birke , Holger Dette , Natalie Neumeyer

The asymptotic theory of various estimators based on Gaussian likelihood has been developed for the unit root and near unit root cases of a first-order moving average model. Previous studies of the MA(1) unit root problem rely on the…

统计理论 · 数学 2012-03-13 Richard A. Davis , Li Song

In this paper, we revisit the classical goodness-of-fit problems for univariate distributions; we propose a new testing procedure based on a characterisation of the uniform distribution. Asymptotic theory for the simple hypothesis case is…

统计方法学 · 统计学 2021-08-17 Bruno Ebner , Shawn Liebenberg , Jaco Visagie

The danger of confusing long-range dependence with non-stationarity has been pointed out by many authors. Finding an answer to this difficult question is of importance to model time-series showing trend-like behavior, such as river run-off…

统计方法学 · 统计学 2011-06-08 Olaf Kouamo , Eric Moulines , François Roueff

We introduce a unified approach to testing a variety of rather general null hypotheses that can be formulated in terms of covariances matrices. These include as special cases, for example, testing for equal variances, equal traces, or for…

统计理论 · 数学 2020-12-23 Paavo Sattler , Arne C. Bathke , Markus Pauly

To perform statistical inference for time series, one should be able to assess if they present deterministic or stochastic trends. For univariate analysis one way to detect stochastic trends is to test if the series has unit roots, and for…

In this paper, we propose a new test for checking the parametric form of the conditional variance based on distance covariance in nonlinear and nonparametric regression models. Inherit from the nice properties of distance covariance, our…

统计方法学 · 统计学 2022-05-19 Yue Hu , Haiqi Li , Falong Tan

We propose a new powerful family of tests of univariate normality. These tests are based on an initial value problem in the space of characteristic functions originating from the fixed point property of the normal distribution in the zero…

统计理论 · 数学 2020-02-28 Bruno Ebner

This paper introduces a Nearly Unstable INteger-valued AutoRegressive Conditional Heteroskedasticity (NU-INARCH) process for dealing with count time series data. It is proved that a proper normalization of the NU-INARCH process endowed with…

统计方法学 · 统计学 2021-07-19 Wagner Barreto-Souza , Ngai Hang Chan

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

The causal dose response curve is commonly selected as the statistical parameter of interest in studies where the goal is to understand the effect of a continuous exposure on an outcome.Most of the available methodology for statistical…

A test of the null hypothesis that a hazard rate is monotone nondecreasing, versus the alternative that it is not, is proposed. Both the test statistic and the means of calibrating it are new. Unlike previous approaches, neither is based on…

统计理论 · 数学 2007-06-13 Peter Hall , Ingrid Van Keilegom

In this paper we develop a novel nonparametric framework to test the independence of two random variables $\mathbf{X}$ and $\mathbf{Y}$ with unknown respective marginals $H(dx)$ and $G(dy)$ and joint distribution $F(dx dy)$, based on {\it…

统计理论 · 数学 2024-03-20 Myrto Limnios , Stéphan Clémençon

A noniterative sample size procedure is proposed for a general hypothesis test based on the t distribution by modifying and extending Guenther's (1981) approach for the one sample and two sample t tests. The generalized procedure is…

统计方法学 · 统计学 2018-05-04 Yongqiang Tang

In this work we address the problem of detecting whether a sampled probability distribution of a random variable $V$ has infinite first moment. This issue is notably important when the sample results from complex numerical simulation…

统计理论 · 数学 2024-07-16 Héctor Olivero , Denis Talay

Consider sample covariance matrices of the form $Q:=\Sigma^{1/2} X X^\top \Sigma^{1/2}$, where $X=(x_{ij})$ is an $n\times N$ random matrix whose entries are independent random variables with mean zero and variance $N^{-1}$, and $\Sigma$ is…

概率论 · 数学 2023-06-09 Fan Yang