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In this article, we introduce the R package portes with extensive illustrative applications. The asymptotic distributions and the Monte Carlo procedures of the most popular univariate and multivariate portmanteau test statistics, including…

Applications · Statistics 2020-05-05 Esam Mahdi

Methods of estimation and forecasting for stationary models are well known in classical time series analysis. However, stationarity is an idealization which, in practice, can at best hold as an approximation, but for many time series may be…

Methodology · Statistics 2021-06-08 Shreyan Ganguly , Peter F. Craigmile

Time-series stationarity is a property that statistical characteristics such as trend, variance, seasonality remain constant over time. It is considered fundamental to many forecasting and analysis methods. Different tests detect different…

Methodology · Statistics 2026-04-13 Bhanu Suraj Malla , Yuqing Hu

The stopp R package deals with spatio-temporal point processes which might have occurred on the Euclidean space or on some specific linear networks such as roads of a city. The package contains functions to summarize, plot, and perform…

Methodology · Statistics 2023-02-28 Nicoletta D'Angelo , Giada Adelfio

Nonstationarity in spatial and spatio-temporal processes is ubiquitous in environmental datasets, but is not often addressed in practice, due to a scarcity of statistical software packages that implement nonstationary models. In this…

Computation · Statistics 2025-12-10 Quan Vu , Xuanjie Shao , Raphaël Huser , Andrew Zammit-Mangion

The TrendLSW R package has been developed to provide users with a suite of wavelet-based techniques to analyse the statistical properties of nonstationary time series. The key components of the package are (a) two approaches for the…

Methodology · Statistics 2024-11-06 Euan T. McGonigle , Rebecca Killick , Matthew A. Nunes

stopp is a novel R package specifically designed for the analysis of spatio-temporal point patterns which might have occurred in a subset of the Euclidean space or on some specific linear network, such as roads of a city. It represents the…

Methodology · Statistics 2024-08-28 Nicoletta D'Angelo , Giada Adelfio

There is a wide availability of methods for testing normality under the assumption of independent and identically distributed data. When data are dependent in space and/or time, however, assessing and testing the marginal behavior is…

Methodology · Statistics 2023-10-17 Minwoo Kim , Marc G Genton , Raphael Huser , Stefano Castruccio

Time series segmentation aims to identify potential change-points in a sequence of temporally dependent data, so that the original sequence can be partitioned into several homogeneous subsequences. It is useful for modeling and predicting…

Computation · Statistics 2024-04-12 Shubo Sun , Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

An important problem in time series analysis is the discrimination between non-stationarity and longrange dependence. Most of the literature considers the problem of testing specific parametric hypotheses of non-stationarity (such as a…

Statistics Theory · Mathematics 2016-07-19 Philip Preuß , Kemal Sen , Holger Dette

We propose an informal test for stationarity in a time series which checks for the compatibility of nonlinear approximations to the dynamics made in different segments of the sequence. The segments are compared directly, rather than via…

chao-dyn · Physics 2009-10-31 Thomas Schreiber

This paper introduces the R package slm which stands for Stationary Linear Models. The package contains a set of statistical procedures for linear regression in the general context where the error process is strictly stationary with short…

Applications · Statistics 2021-08-31 Emmanuel Caron , Jérôme Dedecker , Bertrand Michel

In this paper we investigate the problem of testing the assumption of stationarity in locally stationary processes. The test is based on an estimate of a Kolmogorov-Smirnov type distance between the true time varying spectral density and…

Statistics Theory · Mathematics 2013-12-20 Philip Preuß , Mathias Vetter , Holger Dette

This paper describes an R package implementing large sample tests and confidence intervals (based on the central limit theorem) for various parameters. The one and two sample mean and variance contexts are considered. The statistics for all…

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…

Methodology · Statistics 2011-06-08 Olaf Kouamo , Eric Moulines , François Roueff

In \textit{computer-based testing} it has become standard to collect response accuracy (RA) and response times (RTs) for each test item. IRT models are used to measure a latent variable (e.g., ability, intelligence) using the RA…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Ahmet Salih Simsek

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

Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general…

Statistics Theory · Mathematics 2019-04-02 Daniil Ryabko

Statistical procedures such as Bayes factor model selection and Bayesian model averaging require the computation of normalizing constants (e.g., marginal likelihoods). These normalizing constants are notoriously difficult to obtain, as they…

Computation · Statistics 2018-09-19 Quentin F. Gronau , Henrik Singmann , Eric-Jan Wagenmakers

In this paper, we introduce a new method for testing the stationarity of time series, where the test statistic is obtained from measuring and maximising the difference in the second-order structure over pairs of randomly drawn intervals.…

Methodology · Statistics 2016-11-29 Haeran Cho
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