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Weighted power Maxwell distribution: Statistical inference and COVID-19 applications.

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Summary

Researchers developed a novel statistical distribution with superior mathematical properties for data science applications. This new model, featuring closed-form functions, shows promise in machine learning and reliability analysis.

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Area of Science:

  • Statistics and Data Science
  • Machine Learning

Background:

  • Novel statistical distributions are crucial for advancing data science and machine learning.
  • Existing distributions may lack desirable mathematical properties for certain applications.

Purpose of the Study:

  • To introduce and analyze a new statistical distribution with superior properties.
  • To assess the fuzzy reliability function of the novel distribution.
  • To demonstrate the utility of the new distribution in data science and machine learning.

Main Methods:

  • Mathematical analysis of the distribution's properties, including its cumulative distribution function (CDF) and probability density function (PDF).
  • Development and assessment of a fuzzy reliability function.
  • Application of both traditional and Bayesian methodologies for parameter estimation.
  • Comparative analysis of classical and Bayesian estimators using a test setup.
  • Empirical validation using Covid-19 death data.

Main Results:

  • A novel statistical distribution with a closed-form CDF and PDF was successfully developed.
  • The fuzzy reliability function was mathematically characterized.
  • Both classical and Bayesian estimation methods were evaluated for their effectiveness.
  • The new distribution demonstrated its applicability and effectiveness through Covid-19 death data analysis.

Conclusions:

  • The proposed novel distribution offers significant advantages, including closed-form functions, making it highly valuable for data science.
  • The distribution is particularly useful for machine learning applications.
  • The study successfully validated the new model's performance using real-world data, highlighting its practical utility.