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Mathematical Modeling and Statistical Forecasting for Business Decision Making
Subject area: Science,Engineering and Technology · Area of research: Business Analytics
DOI: https://doi.org/10.64388/IREV10I2-1722531
Abstract
In today's competitive business environment, organizations need reliable methods to analyze historical data and predict future business conditions. Accurate forecasting can help organizations understand changes in sales, demand, revenue, and other important business indicators. However, business data often contains fluctuations, trends, seasonal patterns, and uncertainty, which can make decision-making difficult. This research focuses on developing an integrated framework that combines mathematical modelling and statistical forecasting to analyze historical business data and support systematic decision-making. The proposed framework applies mathematical modelling to identify relationships among important business variables and uses statistical forecasting techniques to estimate future trends. Different forecasting approaches can be evaluated using performance measures such as Mean Absolute Error (MAE), Root Mean Square Error (RMSE), and Mean Absolute Percentage Error (MAPE). The forecasting results are then interpreted from a business perspective to identify expected demand patterns, potential risks, and future business conditions. This approach aims to provide more meaningful information than forecasting alone by connecting quantitative predictions with practical business decisions.
Keywords
mathematical modelling, statistical forecasting, business analytics, time-series analysis, demand prediction, predictive modelling, data-driven decision making, business intelligence, decision support system, forecasting accuracy.
References
[1] Box, G. E. P., Jenkins, G. M., Reinsel, G. C., & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control. Wiley.
[2] Hyndman, R. J., & Athanasopoulos, G. (2021). Forecasting: Principles and Practice. OTexts.
[3] Montgomery, D. C., Jennings, C. L., & Kulahci, M. (2015). Introduction to Time Series Analysis and Forecasting. Wiley.
[4] Makridakis, S., Wheelwright, S. C., & Hyndman, R. J. (1998). Forecasting: Methods and Applications. Wiley.
[5] Chatfield, C. (2000). Time-Series Forecasting. Chapman & Hall/CRC.
[6] Armstrong, J. S. (Ed.). (2001). Principles of Forecasting: A Handbook for Researchers and Practitioners. Springer.
[7] Shumway, R. H., & Stoffer, D. S. (2017). Time Series Analysis and Its Applications. Springer.
[8] Hamilton, J. D. (1994). Time Series Analysis. Princeton University Press.
[9] Brockwell, P. J., & Davis, R. A. (2016). Introduction to Time Series and Forecasting. Springer.
[10] Gardner, E. S. (1985). Exponential smoothing: The state of the art. Journal of Forecasting, 4(1), 1–28.
[11] Brown, R. G. (1959). Statistical Forecasting for Inventory Control. McGraw-Hill.
[12] Holt, C. C. (2004). Forecasting seasonals and trends by exponentially weighted moving averages. International Journal of Forecasting, 20(1), 5–10.
[13] Winters, P. R. (1960). Forecasting sales by exponentially weighted moving averages. Management Science, 6(3), 324–342.
[14] Fildes, R., & Petropoulos, F. (2015). Simple versus complex selection rules for forecasting many time series. Journal of Business Research, 68(3), 543–551.
[15] Hyndman, R. J., Koehler, A. B., Snyder, R. D., & Grose, S. (2002). A state space framework for automatic forecasting using exponential smoothing methods. International Journal of Forecasting, 18(3), 439–454.
[16] Makridakis, S., Spiliotis, E., & Assimakopoulos, V. (2018). Statistical and machine learning forecasting methods: Concerns and ways forward. PLoS ONE, 13(3), e0194889.
[17] Taylor, J. W. (2003). Short-term electricity demand forecasting using double seasonal exponential smoothing. Journal of the Operational Research Society, 54(8), 799– 805.
[18] De Gooijer, J. G., & Hyndman, R. J. (2006). 25 years of time series forecasting. International Journal of Forecasting, 22(3), 443–473.
[19] Ord, J. K., Koehler, A. B., & Snyder, R. D. (1997). Estimation and prediction for a class of dynamic nonlinear statistical models. Journal of the American Statistical Association, 92(440), 1621–1629.
[20] Petropoulos, F., Apiletti, D., Assimakopoulos, V., et al. (2022). Forecasting: Theory and practice. International Journal of Forecasting, 38(3), 705–871.
How to cite this paper
@article{1722531,
author = {Gade Pratima Abhijeet, Shivaji Yashvant Pansare, Kolhe Rutuja Annasaheb},
title = {Mathematical Modeling and Statistical Forecasting for Business Decision Making},
journal = {Iconic Research And Engineering Journals},
year = {2026},
volume = {10},
number = {2},
pages = {2718-2727},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1722531.pdf},
abstract = {In today's competitive business environment, organizations need reliable methods to analyze historical data and predict future business conditions. Accurate forecasting can help organizations understand changes in sales, demand, revenue, and other important business indicators. However, business data often contains fluctuations, trends, seasonal patterns, and uncertainty, which can make decision-making difficult. This research focuses on developing an integrated framework that combines mathematical modelling and statistical forecasting to analyze historical business data and support systematic decision-making. The proposed framework applies mathematical modelling to identify relationships among important business variables and uses statistical forecasting techniques to estimate future trends. Different forecasting approaches can be evaluated using performance measures such as Mean Absolute Error (MAE), Root Mean Square Error (RMSE), and Mean Absolute Percentage Error (MAPE). The forecasting results are then interpreted from a business perspective to identify expected demand patterns, potential risks, and future business conditions. This approach aims to provide more meaningful information than forecasting alone by connecting quantitative predictions with practical business decisions.},
keywords = {mathematical modelling, statistical forecasting, business analytics, time-series analysis, demand prediction, predictive modelling, data-driven decision making, business intelligence, decision support system, forecasting accuracy.},
month = {August},
doi = {https://doi.org/10.64388/IREV10I2-1722531}
}