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992 Results Found

  • Proceeding Paper
  • Open Access
625 Views
10 Pages

An Autoregressive Moving Average Model for Time Series with Irregular Time Intervals

  • Diana Alejandra Godoy Pulecio and
  • César Andrés Ojeda Echeverri

This research focuses on the study of stochastic processes with irregularly spaced time intervals, which is present in a wide range of fields such as climatology, astronomy, medicine, and economics. Some studies have proposed irregular autoregressive...

  • Article
  • Open Access
21 Citations
7,471 Views
13 Pages

11 October 2021

The autoregressive model is a tool used in time series analysis to describe and model time series data. Its main structure is a linear equation using the previous values to compute the next time step; i.e., the short time relationship is the core com...

  • Article
  • Open Access
3 Citations
2,980 Views
21 Pages

Multivariate Simulation of Offshore Weather Time Series: A Comparison between Markov Chain, Autoregressive, and Long Short-Term Memory Models

  • Sebastian Eberle,
  • Debora Cevasco,
  • Marie-Antoinette Schwarzkopf,
  • Marten Hollm and
  • Robert Seifried

16 June 2022

In the estimation of future investments in the offshore wind industry, the operation and maintenance (O&M) phase plays an important role. In the simulation of the O&M figures, the weather conditions should contain information about the waves&...

  • Article
  • Open Access
1 Citations
2,082 Views
17 Pages

25 December 2023

An extension of the Generalized Autoregressive Score (GAS) model is presented for time series with excess null observations to include explanatory variables. An extension of the GAS model proposed by Harvey and Ito is suggested, and it is applied to...

  • Article
  • Open Access
7 Citations
2,278 Views
16 Pages

21 April 2023

Landslide displacement prediction is a challenging research task that can help to reduce the occurrence of landslide disasters. The frequent occurrence of extreme weather increases the probability of landslides, and the subsequent increase in the sup...

  • Article
  • Open Access
22 Citations
6,786 Views
22 Pages

8 June 2017

A method using a nonlinear auto-regressive neural network with exogenous input (NARXnn) to retrieve time series soil moisture (SM) that is spatially and temporally continuous and high quality over the Heihe River Basin (HRB) in China was investigated...

  • Article
  • Open Access
3 Citations
1,770 Views
12 Pages

An Exponential Autoregressive Time Series Model for Complex Data

  • Gholamreza Hesamian,
  • Faezeh Torkian,
  • Arne Johannssen and
  • Nataliya Chukhrova

22 September 2023

In this paper, an exponential autoregressive model for complex time series data is presented. As for estimating the parameters of this nonlinear model, a three-step procedure based on quantile methods is proposed. This quantile-based estimation techn...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,973 Views
16 Pages

Simulation of Wave Time Series with a Vector Autoregressive Method

  • Antonios Valsamidis,
  • Yuzhi Cai and
  • Dominic E. Reeve

26 January 2022

Joint time series of wave height, period and direction are essential input data to computational models which are used to simulate diachronic beach evolution in coastal engineering. However, it is often impractical to collect a large amount of the re...

  • Feature Paper
  • Article
  • Open Access
8 Citations
6,099 Views
13 Pages

For modeling count time series data, one class of models is generalized integer autoregressive of order p based on thinning operators. It is shown how numerical maximum likelihood estimation is possible by inverting the probability generating functio...

  • Article
  • Open Access
1 Citations
835 Views
27 Pages

Time-Series Autoregressive Models for Point and Interval Forecasting of Raw and Derived Commercial Near-Infrared Spectroscopy Measures: An Exploratory Cranial Trauma and Healthy Control Analysis

  • Amanjyot Singh Sainbhi,
  • Logan Froese,
  • Kevin Y. Stein,
  • Nuray Vakitbilir,
  • Rakibul Hasan,
  • Alwyn Gomez,
  • Tobias Bergmann,
  • Noah Silvaggio,
  • Mansoor Hayat and
  • Frederick A. Zeiler
  • + 1 author

Cerebral near-infrared spectroscopy (NIRS) systems have been demonstrated to continuously measure aspects of oxygen delivery and cerebrovascular reactivity. However, it remains unknown whether the prediction of these cerebral physiologic signals into...

  • Article
  • Open Access
855 Views
17 Pages

Positive percentage time series are present in many empirical applications; they take values in the continuous interval (0,1) and are often modeled with linear dynamic models. Risks of biased predictions (outside the admissible range) and problems of...

  • Article
  • Open Access
3 Citations
1,706 Views
19 Pages

The Chen Autoregressive Moving Average Model for Modeling Asymmetric Positive Continuous Time Series

  • Renata F. Stone,
  • Laís H. Loose,
  • Moizés S. Melo and
  • Fábio M. Bayer

31 August 2023

In this paper, we introduce a new dynamic model for time series based on the Chen distribution, which is useful for modeling asymmetric, positive, continuous, and time-dependent data. The proposed Chen autoregressive moving average (CHARMA) model com...

  • Article
  • Open Access
970 Views
25 Pages

12 March 2025

In real-life inter-related time series, the counting responses of different entities are commonly influenced by some time-dependent covariates, while the individual counting series may exhibit different levels of mutual over- or under-dispersion or m...

  • Proceeding Paper
  • Open Access
3 Citations
2,679 Views
12 Pages

Bayesian Robust Multivariate Time Series Analysis in Nonlinear Models with Autoregressive and t-Distributed Errors

  • Alexander Dorndorf,
  • Boris Kargoll,
  • Jens-André Paffenholz and
  • Hamza Alkhatib

Many geodetic measurement data can be modelled as a multivariate time series consisting of a deterministic (“functional”) model describing the trend, and a stochastic model of the correlated noise. These data are also often affected by outliers and t...

  • Article
  • Open Access
2 Citations
1,995 Views
27 Pages

29 November 2021

In view of the complexity and asymmetry of finite range multi-state integer-valued time series data, we propose a first-order random coefficient multinomial autoregressive model in this paper. Basic probabilistic and statistical properties of the mod...

  • Article
  • Open Access
3 Citations
2,456 Views
18 Pages

21 August 2024

This article examines the influence of specific time series attributes on the efficacy of fuel demand forecasting. By utilising autoregressive models and Markov chains, the research aims to determine the impact of these attributes on the effectivenes...

  • Article
  • Open Access
8 Citations
4,109 Views
17 Pages

Daily Streamflow Time Series Modeling by Using a Periodic Autoregressive Model (ARMA) Based on Fuzzy Clustering

  • Mahshid Khazaeiathar,
  • Reza Hadizadeh,
  • Nasrin Fathollahzadeh Attar and
  • Britta Schmalz

2 December 2022

The behavior of hydrological processes is periodic and stochastic due to the influence of climatic factors. Therefore, it is crucial to develop the models based on their periodicity and stochastic nature for prediction. Furthermore, forecasting the s...

  • Article
  • Open Access
91 Citations
20,506 Views
21 Pages

Time series modeling is an effective approach for studying and analyzing the future performance of the power sector based on historical data. This study proposes a forecasting framework that applies a seasonal autoregressive integrated moving average...

  • Article
  • Open Access
2 Citations
2,626 Views
17 Pages

Latent Autoregressive Student-t Prior Process Models to Assess Impact of Interventions in Time Series

  • Patrick Toman,
  • Nalini Ravishanker,
  • Nathan Lally and
  • Sanguthevar Rajasekaran

28 December 2023

With the advent of the “Internet of Things” (IoT), insurers are increasingly leveraging remote sensor technology in the development of novel insurance products and risk management programs. For example, Hartford Steam Boiler’s (HSB)...

  • Article
  • Open Access
2 Citations
2,077 Views
23 Pages

4 September 2025

Time series models are widely used to examine temporal dynamics and uncover patterns across diverse fields. A commonly employed approach for modeling such data is the (Vector) Autoregressive (AR/VAR) model, in which each variable is represented as a...

  • Article
  • Open Access
2,470 Views
16 Pages

9 October 2023

Estimation of time-varying autoregressive models for count-valued time series can be computationally challenging. In this direction, we propose a time-varying Poisson autoregressive (TV-Pois-AR) model that accounts for the changing intensity of the P...

  • Article
  • Open Access
2 Citations
970 Views
21 Pages

9 July 2025

Time series data are fundamental for analyzing temporal dynamics and patterns, enabling researchers and practitioners to model, forecast, and support decision-making across a wide range of domains, such as finance, climate science, environmental stud...

  • Article
  • Open Access
8 Citations
2,922 Views
24 Pages

6 January 2023

Recurrent Neural Networks (RNN) are basically used for applications with time series and sequential data and are currently being used in embedded devices. However, one of their drawbacks is that RNNs have a high computational cost and require the use...

  • Article
  • Open Access
4 Citations
2,932 Views
18 Pages

27 March 2025

Ningbo Zhoushan Port and Shanghai Port, as the top two ports in China in terms of port cargo throughput, play a crucial role in facilitating international trade and shipping. The accurate forecasting of the cargo throughput at these ports is essentia...

  • Article
  • Open Access
19 Citations
2,736 Views
16 Pages

26 August 2020

This paper studies the impact of financial development on carbon emissions in China from 1997 to 2016. First, this paper uses the entropy method to construct a synthetical index to measure the financial development. Meanwhile, a two-dimensional panel...

  • Article
  • Open Access
1 Citations
1,286 Views
22 Pages

14 October 2025

Multiple time series forecasting is critical in domains such as energy management, economic analysis, web traffic prediction and air pollution monitoring to support effective resource planning. Traditional statistical learning methods, including Vect...

  • Article
  • Open Access
9 Citations
4,194 Views
11 Pages

1 April 2021

The determination of electric energy consumption is remarked as one of the most vital objectives for electrical engineers as it is highly essential in determining the actual energy demand made on the existing electricity supply. Therefore, it is impo...

  • Article
  • Open Access
17 Citations
5,026 Views
23 Pages

1 October 2017

Many of the existing autoregressive moving average (ARMA) forecast models are based on one main factor. In this paper, we proposed a new two-factor first-order ARMA forecast model based on fuzzy fluctuation logical relationships of both a main factor...

  • Article
  • Open Access
1 Citations
3,163 Views
10 Pages

10 March 2021

Best practice life expectancy has recently been modeled using extreme value theory. In this paper we present the Gumbel autoregressive model of order one—Gumbel AR(1)—as an option for modeling best practice life expectancy. This class of model repres...

  • Article
  • Open Access
4 Citations
2,360 Views
19 Pages

2 July 2022

Rapid industrialization and urban development are the main causes of air pollution, leading to daily air quality and health problems. To find significant pollutants and forecast their concentrations, in this study, we used a hybrid methodology, inclu...

  • Article
  • Open Access
93 Views
35 Pages

29 January 2026

Understanding high-dimensional dependencies in modern financial systems requires time series models that capture both contemporaneous and dynamic linkages. This study develops a sparse spatio-temporal vector autoregressive framework to analyse the ne...

  • Article
  • Open Access
32 Citations
4,326 Views
16 Pages

Forecasting Day-Ahead Traffic Flow Using Functional Time Series Approach

  • Ismail Shah,
  • Izhar Muhammad,
  • Sajid Ali,
  • Saira Ahmed,
  • Mohammed M. A. Almazah and
  • A. Y. Al-Rezami

16 November 2022

Nowadays, short-term traffic flow forecasting has gained increasing attention from researchers due to traffic congestion in many large and medium-sized cities that pose a serious threat to sustainable urban development. To this end, this research exa...

  • Article
  • Open Access
42 Citations
8,240 Views
13 Pages

Heart Rate Modeling and Prediction Using Autoregressive Models and Deep Learning

  • Alessio Staffini,
  • Thomas Svensson,
  • Ung-il Chung and
  • Akiko Kishi Svensson

22 December 2021

Physiological time series are affected by many factors, making them highly nonlinear and nonstationary. As a consequence, heart rate time series are often considered difficult to predict and handle. However, heart rate behavior can indicate underlyin...

  • Article
  • Open Access
22 Citations
3,747 Views
16 Pages

Novel Model Based on Artificial Neural Networks to Predict Short-Term Temperature Evolution in Museum Environment

  • Alessandro Bile,
  • Hamed Tari,
  • Andreas Grinde,
  • Francesca Frasca,
  • Anna Maria Siani and
  • Eugenio Fazio

13 January 2022

The environmental microclimatic characteristics are often subject to fluctuations of considerable importance, which can cause irreparable damage to art works. We explored the applicability of Artificial Intelligence (AI) techniques to the Cultural He...

  • Proceeding Paper
  • Open Access
925 Views
7 Pages

This work applies the rarely seen explosive version of autoregressive modelling to a novel practical context—geological failure monitoring. This approach is more general than standard ARMA or ARIMA methods in that it allows the underlying data...

  • Article
  • Open Access
3,413 Views
13 Pages

Measuring Statistical Asymmetries of Stochastic Processes: Study of the Autoregressive Process

  • Arthur Matsuo Yamashita Rios de Sousa,
  • Hideki Takayasu and
  • Misako Takayasu

7 July 2018

We use the definition of statistical symmetry as the invariance of a probability distribution under a given transformation and apply the concept to the underlying probability distribution of stochastic processes. To measure the degree of statistical...

  • Article
  • Open Access
2,414 Views
14 Pages

5 September 2023

In the insurance and pension industries, as well as in designing social security systems, forecasted mortality rates are of major interest. The current research provides statistical methods based on functional time series analysis to improve mortalit...

  • Article
  • Open Access
13 Citations
4,400 Views
21 Pages

Auto-Regression Model-Based Off-Line PID Controller Tuning: An Adaptive Strategy for DC Motor Control

  • José A. Niembro-Ceceña,
  • Roberto A. Gómez-Loenzo,
  • Juvenal Rodríguez-Reséndiz,
  • Omar Rodríguez-Abreo and
  • Ákos Odry

6 August 2022

Brushed (B) and Brushless (BL) DC motors constitute the cornerstone of mechatronic systems regardless their sizes (including miniaturized), in which both position and speed control tasks require the application of sophisticated algorithms. This manus...

  • Article
  • Open Access
9 Citations
4,113 Views
14 Pages

16 November 2022

Accurate time series prediction techniques are becoming fundamental to modern decision support systems. As massive data processing develops in its practicality, machine learning (ML) techniques applied to time series can automate and improve predicti...

  • Article
  • Open Access
7 Citations
3,410 Views
13 Pages

18 January 2024

Economic forecasting is crucial since it benefits many different parties, such as governments, businesses, investors, and the general public. This paper presents a novel methodology for forecasting business cycles using an autoregressive integrated m...

  • Article
  • Open Access
8 Citations
3,676 Views
23 Pages

6 August 2020

This article describes a refinement of recurrence analysis to determine the delay in the causal influence between a driver and a target, in the presence of additional perturbations affecting the time series of the response observable. The methodology...

  • Feature Paper
  • Article
  • Open Access
15 Citations
3,339 Views
21 Pages

Partial Autocorrelation Diagnostics for Count Time Series

  • Christian H. Weiß,
  • Boris Aleksandrov,
  • Maxime Faymonville and
  • Carsten Jentsch

4 January 2023

In a time series context, the study of the partial autocorrelation function (PACF) is helpful for model identification. Especially in the case of autoregressive (AR) models, it is widely used for order selection. During the last decades, the use of A...

  • Article
  • Open Access
18 Citations
7,795 Views
23 Pages

12 February 2015

Despite recent efforts to record wind at finer spatial and temporal scales, stochastic realizations of wind are still important for many purposes and particularly for wind energy grid integration and reliability studies. Most instances of wind genera...

  • Article
  • Open Access
21 Citations
7,598 Views
20 Pages

Hierarchical Meta-Learning in Time Series Forecasting for Improved Interference-Less Machine Learning

  • David Afolabi,
  • Sheng-Uei Guan,
  • Ka Lok Man,
  • Prudence W. H. Wong and
  • Xuan Zhao

18 November 2017

The importance of an interference-less machine learning scheme in time series prediction is crucial, as an oversight can have a negative cumulative effect, especially when predicting many steps ahead of the currently available data. The on-going rese...

  • Article
  • Open Access
2 Citations
2,667 Views
20 Pages

The paper’s primary purpose is to better monitor shocks; therefore, reliable scientific methods should be used to predict, monitor, and implement those events. In this paper, tourism prices are studied as an economic, I(2) and social phenomenon...

  • Article
  • Open Access
3 Citations
5,599 Views
23 Pages

3 August 2019

Overcoming symmetry in combinatorial evolutionary algorithms is a challenge for existing niching methods. This research presents a genetic algorithm designed for the shrinkage of the coefficient matrix in vector autoregression (VAR) models, construct...

  • Article
  • Open Access
17 Citations
4,552 Views
19 Pages

Empirical Evaluation of Alternative Time-Series Models for COVID-19 Forecasting in Saudi Arabia

  • Isra Al-Turaiki,
  • Fahad Almutlaq,
  • Hend Alrasheed and
  • Norah Alballa

COVID-19 is a disease-causing coronavirus strain that emerged in December 2019 that led to an ongoing global pandemic. The ability to anticipate the pandemic’s path is critical. This is important in order to determine how to combat and track its spre...

  • Article
  • Open Access
69 Citations
10,477 Views
23 Pages

30 April 2014

This paper set out to identify the significant variables which affect residential low voltage (LV) network demand and develop next day total energy use (NDTEU) and next day peak demand (NDPD) forecast models for each phase. The models were developed...

  • Article
  • Open Access
13 Citations
2,979 Views
18 Pages

8 February 2024

Timely forecasting of aboveground vegetation biomass is crucial for effective management and ensuring food security. However, research on predicting aboveground biomass remains scarce. Artificial intelligence (AI) methods could bridge this research g...

  • Article
  • Open Access
1 Citations
1,736 Views
17 Pages

Subsampling Algorithms for Irregularly Spaced Autoregressive Models

  • Jiaqi Liu,
  • Ziyang Wang,
  • HaiYing Wang and
  • Nalini Ravishanker

15 November 2024

With the exponential growth of data across diverse fields, applying conventional statistical methods directly to large-scale datasets has become computationally infeasible. To overcome this challenge, subsampling algorithms are widely used to perform...

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