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Improved Bass Model Using Sales Proportional Average for Mono Peak Curves


Core Concepts
Enhancing the Bass model with sales proportional average improves prediction accuracy for mono peak curves.
Abstract

The study introduces an enhanced version of the Bass model to address forecasting challenges for trend curves with a single peak followed by a sharp decline and semi-stable sales. By collecting data from Google Trends and Kaggle, the traditional Bass model's limitations in predicting such curves were identified. Introducing a new parameter based on average sales ratios (r1 and r2) significantly improved predictive capabilities, reducing the sum of squares error (SSE) by 36.35% to 79.3%. The modified model outperformed the traditional Bass model in accurately forecasting trends, especially over extended periods. Examples demonstrated better curve alignment and reduced SSE when using the improved model, making it a reliable choice for handling mono peak curves.

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Stats
The SSE value reduced to 14,041.68 for "Mercedes E class 2015" with the improved model. The SSE value reduced to 37,197.51 for "VIBER" with the improved model. The SSE value reduced to 180,145,992.2 for online service sales with the improved model.
Quotes
"The results showed the ability of the improved model to deal with this type of curve." "The shape of the prediction curve when using the improved model is much better than that resulting from the classical Bass model."

Deeper Inquiries

How can this enhanced Bass model be applied to other industries beyond financial services?

The enhanced Bass model, with its improved predictive capabilities for trend curves with mono peaks and gradual declines in sales, can be applied to various industries beyond financial services. For example, it could be utilized in the retail sector to forecast the demand for new products or seasonal items. In the healthcare industry, this model could help predict the adoption rate of new medical technologies or treatments. Additionally, in the technology sector, companies could use this model to anticipate consumer interest and adoption rates for new gadgets or software releases.

What potential drawbacks or criticisms could arise from relying heavily on predictive models like these?

While predictive models like the enhanced Bass model offer valuable insights into future trends and behaviors, there are potential drawbacks and criticisms associated with relying heavily on them. One criticism is that these models may oversimplify complex market dynamics and human behavior, leading to inaccurate forecasts in certain situations. Moreover, reliance on historical data alone may not account for unforeseen events or disruptions that can significantly impact sales patterns. Another drawback is the assumption of linearity inherent in many forecasting models which might not always hold true in real-world scenarios where non-linear relationships exist between variables. Additionally, over-reliance on predictive models without considering qualitative factors or expert judgment may lead to missed opportunities or misinterpretation of results.

How might advancements in machine learning impact the future development of forecasting models like this?

Advancements in machine learning have the potential to revolutionize forecasting models like the enhanced Bass model by enabling more sophisticated analysis of large datasets and complex patterns. Machine learning algorithms can automatically identify hidden patterns within data that traditional statistical methods may overlook. Incorporating machine learning techniques such as neural networks or deep learning into forecasting models can enhance their accuracy and robustness by adapting to changing market conditions dynamically. These advanced algorithms can handle nonlinear relationships more effectively and provide more nuanced predictions based on a wider range of variables. Furthermore, machine learning allows for continuous improvement through feedback loops where models learn from their own performance over time. This iterative process leads to refined forecasts that better reflect evolving consumer behaviors and market trends. As technology continues to advance, integrating machine learning into forecasting models will likely lead to even more precise predictions across various industries.
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