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Related papers: On Long Memory Origins and Forecast Horizons

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The fractional difference operator remains to be the most popular mechanism to generate long memory due to the existence of efficient algorithms for their simulation and forecasting. Nonetheless, there is no theoretical argument linking the…

Statistics Theory · Mathematics 2024-01-25 J. Eduardo Vera-Valdés

Long memory in the sense of slowly decaying autocorrelations is a stylized fact in many time series from economics and finance. The fractionally integrated process is the workhorse model for the analysis of these time series. Nevertheless,…

Econometrics · Economics 2023-09-22 Uwe Hassler , Marc-Oliver Pohle

Forecasting time series data is an important subject in economics, business, and finance. Traditionally, there are several techniques to effectively forecast the next lag of time series data such as univariate Autoregressive (AR),…

Machine Learning · Computer Science 2019-03-05 Sima Siami-Namini , Akbar Siami Namin

Accurate forecasting of exchange rates remains a persistent challenge, particularly for emerging economies such as Brazil, Russia, India, and China (BRIC). These series exhibit long memory and nonlinearity that conventional time series…

Econometrics · Economics 2026-05-13 Tanujit Chakraborty , Donia Besher , Madhurima Panja , Shovon Sengupta

In forecasting problems it is important to know whether or not recent events represent a regime change (low long-term predictive potential), or rather a local manifestation of longer term effects (potentially higher predictive potential).…

Methodology · Statistics 2014-07-09 Timothy Graves , Robert B. Gramacy , Christian Franzke , Nicholas Watkins

Predicting cloud performance from user's perspective is a complex task, because of several factors involved in providing the service to the consumer. In this work, the response time of 10 real-world services is analyzed. We have observed…

Networking and Internet Architecture · Computer Science 2016-04-12 Hossein Nourikhah , Mohammad Kazem Akbari , Mohammad Kalantari

It is generally accepted that many time series of practical interest exhibit strong dependence, i.e., long memory. For such series, the sample autocorrelations decay slowly and log-log periodogram plots indicate a straight-line…

Statistics Theory · Mathematics 2008-12-02 Rohit Deo , Meng-Chen Hsieh , Clifford M. Hurvich , Philippe Soulier

As a result of the greater availability of big data, as well as the decreasing costs and increasing power of modern computing, the use of artificial neural networks for financial time series forecasting is once again a major topic of…

Machine Learning · Statistics 2021-04-21 Adam Balusik , Jared de Magalhaes , Rendani Mbuvha

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

Short-term electricity price forecasting has become important for demand side management and power generation scheduling. Especially as the electricity market becomes more competitive, a more accurate price prediction than the day-ahead…

Signal Processing · Electrical Eng. & Systems 2018-02-26 Zhongyang Zhao , Caisheng Wang , Matthew Nokleby , Carol Miller

In this paper, five different deep learning models are being compared for predicting travel time. These models are autoregressive integrated moving average (ARIMA) model, recurrent neural network (RNN) model, autoregressive (AR) model,…

Machine Learning · Computer Science 2021-11-17 Armstrong Aboah , Elizabeth Arthur

Machine and deep learning-based algorithms are the emerging approaches in addressing prediction problems in time series. These techniques have been shown to produce more accurate results than conventional regression-based modeling. It has…

Machine Learning · Computer Science 2019-11-22 Sima Siami-Namini , Neda Tavakoli , Akbar Siami Namin

Accurate short-term power load forecasting is important to effectively manage, optimize, and ensure the robustness of modern power systems. This paper performs an empirical evaluation of a traditional statistical model and deep learning…

Machine Learning · Computer Science 2026-03-10 Suhasnadh Reddy Veluru , Sai Teja Erukude , Viswa Chaitanya Marella

In this paper, we introduce the concept of fractional integration for spatial autoregressive models. We show that the range of the dependence can be spatially extended or diminished by introducing a further fractional integration parameter…

Methodology · Statistics 2023-09-14 Philipp Otto , Philipp Sibbertsen

Providing forecasts for ultra-long time series plays a vital role in various activities, such as investment decisions, industrial production arrangements, and farm management. This paper develops a novel distributed forecasting framework to…

Applications · Statistics 2024-04-23 Xiaoqian Wang , Yanfei Kang , Rob J Hyndman , Feng Li

Celestial objects exhibit a wide range of variability in brightness at different wavebands. Surprisingly, the most common methods for characterizing time series in statistics -- parametric autoregressive modeling -- is rarely used to…

Instrumentation and Methods for Astrophysics · Physics 2019-01-24 Eric D. Feigelson , G. Jogesh Babu , Gabriel A. Caceres

This paper proposes a simple yet effective convolutional module for long-term time series forecasting. The proposed block, inspired by the Auto-Regressive Integrated Moving Average (ARIMA) model, consists of two convolutional components:…

Machine Learning · Computer Science 2025-09-15 Myung Jin Kim , YeongHyeon Park , Il Dong Yun

Dynamic linear regression models forecast the values of a time series based on a linear combination of a set of exogenous time series while incorporating a time series process for the error term. This error process is often assumed to…

Methodology · Statistics 2026-04-02 Thomas Goodwin , Matias Quiroz , Robert Kohn

Fractionally integrated autoregressive moving average (FIARMA) processes have been widely and successfully used to model and predict univariate time series exhibiting long range dependence. Vector and functional extensions of these…

Functional Analysis · Mathematics 2022-10-07 Amaury Durand , François Roueff

Time series forecasting has attracted significant attention, leading to the de-velopment of a wide range of approaches, from traditional statistical meth-ods to advanced deep learning models. Among them, the Auto-Regressive Integrated…

Machine Learning · Computer Science 2025-05-28 Thanh Son Nguyen , Van Thanh Nguyen , Dang Minh Duc Nguyen
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