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In this paper we derive the asymptotic distribution of normalized residual empirical autocovariances and autocorrelations under weak assumptions on the noise. We propose new portmanteau statistics for vector autoregressive moving-average…

统计理论 · 数学 2024-04-22 Yacouba Boubacar Maïnassara , Bruno Saussereau

We develop a novel continuous-time asymptotic framework for inference on whether the predictive ability of a given forecast model remains stable over time. We formally define forecast instability from the economic forecaster's perspective…

计量经济学 · 经济学 2018-12-04 Alessandro Casini

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

统计方法学 · 统计学 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou

Numerous studies have been devoted to the estimation and inference problems for functional linear models (FLM). However, few works focus on model checking problem that ensures the reliability of results. Limited tests in this area do not…

统计方法学 · 统计学 2022-06-07 Enze Shi , Yi Liu , Ke Sun , Lingzhu Li , Linglong Kong

We propose a nonparametric procedure to test for changes in correlation matrices at an unknown point in time. The new test requires only mild assumptions on the serial dependence structure and has considerable power in finite samples. We…

统计方法学 · 统计学 2014-10-29 Dominik Wied

Misspecified models often provide useful information about the true data generating distribution. For example, if $y$ is a non-linear function of $x$ the least squares estimator $\hat{\beta}$ is an estimate of $\beta$, the slope of the best…

统计方法学 · 统计学 2017-05-17 James P. Long

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…

统计方法学 · 统计学 2015-10-22 Georg Gutjahr , Björn Bornkamp

Regression adjustment is broadly applied in randomized trials under the premise that it usually improves the precision of a treatment effect estimator. However, previous work has shown that this is not always true. To further understand…

统计方法学 · 统计学 2022-10-11 Katarzyna Reluga , Ting Ye , Qingyuan Zhao

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…

统计方法学 · 统计学 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

High-dimensional auto-regressive models provide a natural way to model influence between $M$ actors given multi-variate time series data for $T$ time intervals. While there has been considerable work on network estimation, there is limited…

统计理论 · 数学 2018-12-13 Lili Zheng , Garvesh Raskutti

This paper explores hypothesis testing for the parametric forms of the mean and variance functions in regression models under diverging-dimension settings. To mitigate the curse of dimensionality, we introduce weighted residual empirical…

统计理论 · 数学 2025-10-28 Falong Tan , Xu Guo , Lixing Zhu

The question whether a time series behaves as a random walk or as a station- ary process is an important and delicate problem, particularly arising in financial statistics, econometrics, and engineering. This paper studies the problem to…

概率论 · 数学 2010-01-13 Ansgar Steland

A longstanding problem of existing empirical process-based tests for regressions is that when the number of covariates is greater than one, they either have no tractable limiting null distributions or are not omnibus. To attack this…

统计方法学 · 统计学 2016-04-08 Falong Tan , Xuehu Zhu , Lixing Zhu

We propose a nonparametric estimator of the empirical distribution function (EDF) of the latent spot variance of the log-price of a financial asset. We show that over a fixed time span our realized EDF (or REDF) -- inferred from noisy…

计量经济学 · 经济学 2026-01-29 Kim Christensen , Martin Thyrsgaard , Bezirgen Veliyev

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

统计理论 · 数学 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

We consider the problem of finding confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides…

统计理论 · 数学 2017-12-01 Robert Lunde , Cosma Rohilla Shalizi

For modeling the serial dependence in time series of counts, various approaches have been proposed in the literature. In particular, models based on a recursive, autoregressive-type structure such as the well-known integer-valued…

统计方法学 · 统计学 2025-07-16 Maxime Faymonville , Carsten Jentsch

Making informed decisions about model adequacy has been an outstanding issue for regression models with discrete outcomes. Standard assessment tools for such outcomes (e.g. deviance residuals) often show a large discrepancy from the…

统计方法学 · 统计学 2021-04-02 Lu Yang

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

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

统计理论 · 数学 2010-10-07 Yuao Hu