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Time series in natural sciences, such as hydrology and climatology, and other environmental applications, often consist of continuous observations constrained to the unit interval (0,1). Traditional Gaussian-based models fail to capture…

This paper proposes the quantile unit-log-symmetric autoregressive moving average (QULS--ARMA) model for bounded time series on the open unit interval $(0,1)$. The model extends the unit-log-symmetric family by introducing a quantile-based…

Computation · Statistics 2026-05-26 Helton Saulo , Roberto Vila , Filidor Vilca

Threshold autoregressive moving-average (TARMA) models are popular in time series analysis due to their ability to parsimoniously describe several complex dynamical features. However, neither theory nor estimation methods are currently…

Methodology · Statistics 2022-11-16 Greta Goracci , Davide Ferrari , Simone Giannerini , Francesco ravazzolo

In practice, several time series exhibit long-range dependence or persistence in their observations, leading to the development of a number of estimation and prediction methodologies to account for the slowly decaying autocorrelations. The…

Computation · Statistics 2016-09-09 Javier E. Contreras-Reyes , Wilfredo Palma

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

We derive a closed-form expression for the finite predictor coefficients of multivariate ARMA (autoregressive moving-average) processes. The expression is given in terms of several explicit matrices that are of fixed sizes independent of…

Probability · Mathematics 2019-12-23 Akihiko Inoue

Lead time data is compositional data found frequently in the hospitality industry. Hospitality businesses earn fees each day, however these fees cannot be recognized until later. For business purposes, it is important to understand and…

Methodology · Statistics 2025-07-08 Harrison Katz , Kai Brusch , Robert E. Weiss

In this paper we consider portmanteau tests for testing the adequacy of multiplicative seasonal autoregressive moving-average (SARMA) models under the assumption that the errors are uncorrelated but not necessarily independent.We relax the…

Statistics Theory · Mathematics 2019-02-11 Yacouba Boubacar Maïnassara , Abdoulkarim Ilmi Amir

A bio-inspired robust adaptive random search algorithm (BioRARSA), designed for distributed beamforming for sensor and relay networks, is proposed in this work. It has been shown via a systematic framework that BioRARSA converges in…

Information Theory · Computer Science 2011-02-16 Chia-Shiang Tseng , Chang-Ching Chen , Che Lin

Instrumental variables are a popular tool to infer causal effects under unobserved confounding, but choosing suitable instruments is challenging in practice. We propose gIVBMA, a Bayesian model averaging procedure that addresses this…

Methodology · Statistics 2026-03-02 Gregor Steiner , Mark Steel

We address the problem of defining early warning indicators of critical transition. To this purpose, we fit the relevant time series through a class of linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We define two…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Davide Faranda , Flavio Maria Emanuele Pons , Bérengère Dubrulle

Generally, anomaly detection has a great importance particularly in applied statistical signal processing. Here we provide a general framework in order to detect anomaly through the statistical modeling. In this paper, it is assumed that a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 Salman Mohamadi , Farhang Yeganegi , Nasser M Nasrabadi

Time series of counts occurring in various applications are often overdispersed, meaning their variance is much larger than the mean. This paper proposes a novel variable selection approach for processing such data. Our approach consists in…

Methodology · Statistics 2023-07-04 Marina Gomtsyan

The Detrending Moving Average (DMA) algorithm has been widely used in its several variants for characterizing long-range correlations of random signals and sets (one-dimensional sequences or high-dimensional arrays) either over time or…

Data Analysis, Statistics and Probability · Physics 2016-07-01 Anna Carbone , Ken Kiyono

Reactive anomaly detection methods, which are commonly deployed to identify anomalies after they occur based on observed deviations, often fall short in applications that demand timely intervention, such as industrial monitoring, finance,…

Machine Learning · Computer Science 2026-02-13 Luis Olmos , Rashida Hasan

Learning human motion based on a time-dependent input signal presents a challenging yet impactful task with various applications. The goal of this task is to generate or estimate human movement that consistently reflects the temporal…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Quang Nguyen , Tri Le , Baoru Huang , Minh Nhat Vu , Ngan Le , Thieu Vo , Anh Nguyen

This article proposes and evaluates a technique to predict the level of interference in wireless networks. We design a recursive predictor that estimates future interference values by filtering measured interference at a given location. The…

Machine Learning · Computer Science 2021-02-11 Jorge F. Schmidt , Udo Schilcher , Mahin K. Atiq , Christian Bettstetter

Auto-regressive moving-average (ARMA) models are ubiquitous forecasting tools. Parsimony in such models is highly valued for their interpretability and computational tractability, and as such the identification of model orders remains a…

Methodology · Statistics 2023-07-27 Yann McLatchie , Asael Alonzo Matamoros , David Kohns , Aki Vehtari

We use information from higher order moments to achieve identification of non-Gaussian structural vector autoregressive moving average (SVARMA) models, possibly non-fundamental or non-causal, through a frequency domain criterion based on a…

Statistics Theory · Mathematics 2020-09-10 Carlos Velasco