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We develop new econometric methods for the comparison of nonparametric time trends. In many applications, practitioners are interested in whether the observed time series all have the same time trend. Moreover, they would often like to know…

Econometrics · Economics 2022-09-23 Marina Khismatullina , Michael Vogt

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

Statistics Theory · Mathematics 2016-03-02 Lubna Amro , Markus Pauly

Correlation matrices are an essential tool for investigating the dependency structures of random vectors or comparing them. We introduce an approach for testing a variety of null hypotheses that can be formulated based upon the correlation…

Statistics Theory · Mathematics 2023-07-12 Paavo Sattler , Markus Pauly

In conditional copula models, the copula parameter is deterministically linked to a covariate via the calibration function. The latter is of central interest for inference and is usually estimated nonparametrically. However, when a…

Methodology · Statistics 2014-03-19 Elif F. Acar , Radu V. Craiu , Fang Yao

In this paper, we consider testing the martingale difference hypothesis for high-dimensional time series. Our test is built on the sum of squares of the element-wise max-norm of the proposed matrix-valued nonlinear dependence measure at…

Econometrics · Economics 2023-11-15 Jinyuan Chang , Qing Jiang , Xiaofeng Shao

Conditional independence testing is a fundamental problem underlying causal discovery and a particularly challenging task in the presence of nonlinear and high-dimensional dependencies. Here a fully non-parametric test for continuous data…

Machine Learning · Statistics 2017-09-06 Jakob Runge

Conditional local independence is an asymmetric independence relation among continuous time stochastic processes. It describes whether the evolution of one process is directly influenced by another process given the histories of additional…

Statistics Theory · Mathematics 2024-02-26 Alexander Mangulad Christgau , Lasse Petersen , Niels Richard Hansen

In this paper we propose a nonparametric procedure for validating the assumption of stationarity in multivariate locally stationary time series models. We develop a bootstrap assisted test based on a Kolmogorov-Smirnov type statistic, which…

Statistics Theory · Mathematics 2013-12-06 Ruprecht Puchstein , Philip Preuß

A CUSUM type test for constant correlation that goes beyond a previously suggested correlation constancy test by considering Spearman's rho in arbitrary dimensions is proposed. Since the new test does not require the existence of any…

Methodology · Statistics 2014-01-31 Dominik Wied , Herold Dehling , Maarten van Kampen , Daniel Vogel

We consider the problem of testing for a dose-related effect based on a candidate set of (typically nonlinear) dose-response models using likelihood-ratio tests. For the considered models this reduces to assessing whether the slope…

Methodology · Statistics 2015-10-22 Georg Gutjahr , Björn Bornkamp

This paper develops a novel nonparametric significance test based on a tailored nonparametric-type projected weighting function that exhibits appealing theoretical and numerical properties. We derive the asymptotic properties of the…

Econometrics · Economics 2026-02-18 Xiaojun Song , Jichao Yuan

Strong mixing property holds for a broad class of linear and nonlinear time series models such as ARMA and GARCH models. In this article we study correlation structure of strong mixing sequences, and some asymptotic properties are…

Statistics Theory · Mathematics 2012-03-02 Fatemeh Azizzadeh , Saeid Rezakhah

In this paper, we propose novel, fully Bayesian non-parametric tests for one-sample and two-sample multivariate location problems. We model the underlying distribution using a Dirichlet process prior, and develop a testing procedure based…

Statistics Theory · Mathematics 2021-08-03 Indrabati Bhattacharya , Subhashis Ghosal

The problem of quickest detection of a change in the distribution of a $n\times p$ random matrix based on a sequence of observations having a single unknown change point is considered. The forms of the pre- and post-change distributions of…

Statistics Theory · Mathematics 2015-06-23 Taposh Banerjee , Hamed Firouzi , Alfred O. Hero

This paper proposes a new statistic to test independence between two high dimensional random vectors ${\mathbf{X}}:p_1\times1$ and ${\mathbf{Y}}:p_2\times1$. The proposed statistic is based on the sum of regularized sample canonical…

Statistics Theory · Mathematics 2015-03-19 Yanrong Yang , Guangming Pan

The aim of sequential change-point detection is to issue an alarm when it is thought that certain probabilistic properties of the monitored observations have changed. This work is concerned with nonparametric, closed-end testing procedures…

Methodology · Statistics 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

We introduce nonparametric tests of independence for bivariate circular data based on trigonometric moments. Our contributions lie in (i) proposing nonparametric tests that are locally and asymptotically optimal against bivariate cosine von…

In this paper we propose a new test for the hypothesis of a constant coefficient of variation in the common nonparametric regression model. The test is based on an estimate of the $L^2$-distance between the square of the regression function…

Statistics Theory · Mathematics 2008-09-30 H. Dette , G. Wieczorek

We consider the problem of sequentially testing for changes in the mean parameter of a time series, compared to a benchmark period. Most tests in the literature focus on the null hypothesis of a constant mean versus the alternative of a…

Methodology · Statistics 2025-09-23 Patrick Bastian , Tim Kutta , Rupsa Basu , Holger Dette

A mixture with varying concentrations is a modification of a finite mixture model in which the mixing probabilities (concentrations of mixture components) may be different for different observations. In the paper, we assume that the…

Probability · Mathematics 2015-03-19 Alexey Doronin , Rostyslav Maiboroda