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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
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Regression Analysis01:11

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Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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A Gran plot is used to predict the equivalence volume or endpoint of a potentiometric or acid-base titration without reaching the endpoint. Typically, titration data is collected as a function of the titrant's volume up to a point less than the equivalence volume and then transformed into a linear format. The straight line is extended to the x-axis, indicating the necessary titrant volume to achieve the equivalence point.
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Understanding and evaluating diffusion and perfusion is critical in assessing a patient's respiratory and circulatory health. These processes play key roles in maintaining the body's internal environment, ensuring that tissues receive adequate oxygen while waste products are efficiently removed.
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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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An Optimized Fractional Grey Prediction Model for Carbon Dioxide Emissions Forecasting.

Yi-Chung Hu1,2, Peng Jiang3, Jung-Fa Tsai4

  • 1College of Management & College of Tourism, Fujian Agriculture and Forestry University, Fuzhou 350002, China.

International Journal of Environmental Research and Public Health
|January 15, 2021
PubMed
Summary

This study optimizes grey prediction models for improved accuracy in forecasting real-world data. By using a genetic algorithm and fractional-order accumulation, the enhanced model significantly outperforms traditional methods for carbon dioxide emission predictions.

Keywords:
carbon dioxide emissionsforecastingfractional-ordergenetic algorithmgrey theory

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Area of Science:

  • Environmental Science
  • Data Science
  • Mathematical Modeling

Background:

  • Grey prediction models are useful for data not conforming to statistical distributions.
  • The standard GM(1,1) grey prediction model has limitations in parameter determination and equal sample weighting.
  • Accurate forecasting is crucial for environmental and economic policy, particularly for emissions data.

Purpose of the Study:

  • To enhance the accuracy and applicability of grey prediction models.
  • To address limitations in parameter estimation and data weighting within the GM(1,1) model.
  • To develop a superior prediction model for carbon dioxide emissions using optimized grey prediction techniques.

Main Methods:

  • Developed an optimized grey prediction model incorporating a genetic algorithm for parameter optimization.
  • Implemented fractional-order accumulation to assign differential weights to sample data.
  • Validated the model using International Energy Agency carbon dioxide emission data.

Main Results:

  • The proposed optimized grey prediction model demonstrated significantly superior performance compared to existing models.
  • The genetic algorithm effectively determined crucial model parameters, overcoming background value limitations.
  • Fractional-order accumulation improved the model's ability to capture data regularities.

Conclusions:

  • The optimized grey prediction model offers a more robust and accurate forecasting tool.
  • This approach provides a significant advancement in grey system prediction methodologies.
  • The findings have implications for more precise environmental emission monitoring and policy-making.