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When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

This article presents a homogeneity test for testing the equality of several high-dimensional covariance matrices for stationary processes with ignoring the assumption of normality. We give the asymptotic distribution of the proposed test.…

Statistics Theory · Mathematics 2020-08-24 Abdullah Qayed , Dong Han

This study focuses on the problem of testing for normality of innovations in stationary time series models.To achieve this, we introduce an information matrix (IM) based test. While the IM test was originally developed to test for model…

Methodology · Statistics 2024-07-12 Zixuan Liu , Junmo Song

This paper introduces the R package BayesVarSel which implements objective Bayesian methodology for hypothesis testing and variable selection in linear models. The package computes posterior probabilities of the competing hypotheses/models…

Other Statistics · Statistics 2016-11-28 Gonzalo Garcia-Donato , Anabel Forte

Monitoring the safety of medical products is a core concern of contemporary pharmacovigilance. To support drug safety assessment, Spontaneous Reporting Systems (SRS) collect reports of suspected adverse events of approved medical products…

Applications · Statistics 2025-12-02 Yihao Tan , Marianthi Markatou , Saptarshi Chakraborty

Binomial time series in which the logit of the probability of success is modelled as a linear function of observed regressors and a stationary latent Gaussian process are considered. Score tests are developed to first test for the existence…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

The challenge of location testing for high-dimensional data in statistical inference is notable. Existing literature suggests various methods, many of which impose strong regularity conditions on underlying covariance matrices to ensure…

Applications · Statistics 2024-10-23 Pengfei Wang , Tianming Zhu , Jin-Ting Zhang

This document describes an infra-structure provided by the R package performanceEstimation that allows to estimate the predictive performance of different approaches (workflows) to predictive tasks. The infra-structure is generic in the…

Mathematical Software · Computer Science 2015-09-08 Luis Torgo

This paper describes the R package imputeTestbench that provides a testbench for comparing imputation methods for missing data in univariate time series. The imputeTestbench package can be used to simulate the amount and type of missing…

Methodology · Statistics 2020-05-20 Neeraj Bokde , Kishore Kulat , Marcus W Beck , Gualberto Asencio-Cortés

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal…

Econometrics · Economics 2025-10-07 Lin Fan , Junting Duan , Peter W. Glynn , Markus Pelger

Given a finite-valued sample $X_1,...,X_n$ we wish to test whether it was generated by a stationary ergodic process belonging to a family $H_0$, or it was generated by a stationary ergodic process outside $H_0$. We require the Type I error…

Statistics Theory · Mathematics 2014-12-30 Daniil Ryabko

There are many forecasting related packages in R with varied popularity, the most famous of all being \texttt{forecast}, which implements several important forecasting approaches, such as ARIMA, ETS, TBATS and others. However, the main…

Methodology · Statistics 2023-01-06 Ivan Svetunkov

Different disciplines pursue the aim to develop models which characterize certain phenomena as accurately as possible. Climatology is a prime example, where the temporal evolution of the climate is modeled. In order to compare and improve…

Methodology · Statistics 2017-02-03 T. M. Erhardt , C. Czado , T. L. Thorarinsdottir

Stationary stochastic processes (SPs) are a key component of many probabilistic models, such as those for off-the-grid spatio-temporal data. They enable the statistical symmetry of underlying physical phenomena to be leveraged, thereby…

A software package has been developed to bridge the R analysis model with the conceptual analysis environment typical of radiation physics experiments. The new package has been used in the context of a project for the validation of…

Computational Physics · Physics 2013-11-25 Andreas Pfeiffer , Maria Grazia Pia

We propose a procedure to decide between the null hypothesis of (strict) stationarity and the alternative of non-stationarity, in the context of a Random Coefficient AutoRegression (RCAR). The procedure is based on randomising a diagnostic…

Statistics Theory · Mathematics 2019-01-07 Lorenzo Trapani

Weakly stationary Gaussian processes (GPs) are the principal tool in the statistical approaches to the design and analysis of computer experiments (or Uncertainty Quantification). Such processes are fitted to computer model output using a…

Methodology · Statistics 2019-02-28 Victoria Volodina , Daniel B. Williamson

Time-series imputation benchmarks employ uniform random masking and shape-agnostic metrics (MSE, RMSE), implicitly weighting evaluation by regime prevalence. In systems with a dominant attractor -- homeostatic physiology, nominal industrial…

Machine Learning · Computer Science 2026-02-18 Amirreza Dolatpour Fathkouhi , Alireza Namazi , Heman Shakeri

Multivariate locally stationary functional time series provide a flexible framework for modeling complex data structures exhibiting both temporal and spatial dependencies while allowing for time-varying data generating mechanism. In this…

Methodology · Statistics 2025-01-15 Lujia Bai , Holger Dette , Weichi Wu

We introduce and evaluate a new class of hypothesis testing procedures for moment structures. The methods are valid under weak assumptions and includes the well-known Satorra-Bentler adjustment as a special case. The proposed procedures…

Statistics Theory · Mathematics 2016-10-10 Steffen Grønneberg , Njål Foldnes