Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.

Forecasting time series characterized by a damped trend and multiplicative seasonality (DTMS) presents a significant challenge, as conventional models like ARIMA and ETS often fail to capture their complex, non-linear interactions. This study bridges this gap by developing and evaluating a novel hyb...

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Main Authors: Md. Kamrul Hasan, Amrin Binte Ahmed, K. M. Zahidul Islam, Rumana Rois
Formato: Online
Idioma:inglés
Publicado: Journal of Science 2026
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Acceso en liña:http://journals.juniv.edu/index.php/jos/article/view/386
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author Md. Kamrul Hasan
Amrin Binte Ahmed
K. M. Zahidul Islam
Rumana Rois
author_facet Md. Kamrul Hasan
Amrin Binte Ahmed
K. M. Zahidul Islam
Rumana Rois
author_sort Md. Kamrul Hasan
collection OJS
description Forecasting time series characterized by a damped trend and multiplicative seasonality (DTMS) presents a significant challenge, as conventional models like ARIMA and ETS often fail to capture their complex, non-linear interactions. This study bridges this gap by developing and evaluating a novel hybrid forecasting framework that synergistically combines statistical and machine learning (ML) approaches. We hypothesize that while statistical models capture linear components, ML models excel at modeling non-linear residuals. Our methodology employs a comprehensive simulation study to systematically control data characteristics, alongside an empirical analysis of a real financial dataset from the Dhaka Stock Exchange. Results demonstrate that hybrid models, particularly SVR-ANN and SVR-ETS, significantly outperform individual and other hybrid models across all accuracy metrics (RMSE, MAE, MAPE, MASE). The simulation confirmed this superiority, with the top hybrids achieving a mean MASE of 0.701. This indicates that an ML model, especially SVR, is highly effective in modeling the complex residuals from a primary statistical forecast. We conclude that a hybrid paradigm integrating statistical and ML techniques offers a robust and superior solution for forecasting DTMS series, providing practitioners with evidence-based guidance for enhanced accuracy.
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spelling ojs-3862026-04-01T06:14:41Z Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study. Md. Kamrul Hasan Amrin Binte Ahmed K. M. Zahidul Islam Rumana Rois Dhaka Stock Exchange, Damped trend and multiplicative seasonality, Hybrid machine learning, Low-volatility regime; Support Vector Regression. Forecasting time series characterized by a damped trend and multiplicative seasonality (DTMS) presents a significant challenge, as conventional models like ARIMA and ETS often fail to capture their complex, non-linear interactions. This study bridges this gap by developing and evaluating a novel hybrid forecasting framework that synergistically combines statistical and machine learning (ML) approaches. We hypothesize that while statistical models capture linear components, ML models excel at modeling non-linear residuals. Our methodology employs a comprehensive simulation study to systematically control data characteristics, alongside an empirical analysis of a real financial dataset from the Dhaka Stock Exchange. Results demonstrate that hybrid models, particularly SVR-ANN and SVR-ETS, significantly outperform individual and other hybrid models across all accuracy metrics (RMSE, MAE, MAPE, MASE). The simulation confirmed this superiority, with the top hybrids achieving a mean MASE of 0.701. This indicates that an ML model, especially SVR, is highly effective in modeling the complex residuals from a primary statistical forecast. We conclude that a hybrid paradigm integrating statistical and ML techniques offers a robust and superior solution for forecasting DTMS series, providing practitioners with evidence-based guidance for enhanced accuracy. Journal of Science 2026-01-13 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Conference Proceedings Submission application/pdf http://journals.juniv.edu/index.php/jos/article/view/386 10.59185/jos.v45i1.386 Journal of Science; Vol. 45 No. 1 (2025): Jahangirnagar University Journal of Science 10.59185/jos.v45i1 eng http://journals.juniv.edu/index.php/jos/article/view/386/318 Copyright (c) 2026 Jahangirnagar University Journal of Science
spellingShingle Dhaka Stock Exchange,
Damped trend and multiplicative seasonality,
Hybrid machine learning,
Low-volatility regime; Support Vector Regression.
Md. Kamrul Hasan
Amrin Binte Ahmed
K. M. Zahidul Islam
Rumana Rois
Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title_full Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title_fullStr Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title_full_unstemmed Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title_short Enhancing Forecast Accuracy for Damped Trend and Multiplicative Seasonality: A Hybrid Time-Series Framework with Simulation Study.
title_sort enhancing forecast accuracy for damped trend and multiplicative seasonality a hybrid time series framework with simulation study
topic Dhaka Stock Exchange,
Damped trend and multiplicative seasonality,
Hybrid machine learning,
Low-volatility regime; Support Vector Regression.
topic_facet Dhaka Stock Exchange,
Damped trend and multiplicative seasonality,
Hybrid machine learning,
Low-volatility regime; Support Vector Regression.
url http://journals.juniv.edu/index.php/jos/article/view/386
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AT kmzahidulislam enhancingforecastaccuracyfordampedtrendandmultiplicativeseasonalityahybridtimeseriesframeworkwithsimulationstudy
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