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The Odds Exponential-Pareto IV Distribution: Regression Model and Application.

Lamya A Baharith1, Kholod M Al-Beladi1,2, Hadeel S Klakattawi1

  • 1Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.

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Summary
This summary is machine-generated.

Researchers introduced a new statistical model, the odds exponential-Pareto IV distribution, and a related regression model. These models demonstrate flexibility and potential for analyzing various data types, including censored data.

Keywords:
Jackknife methodPareto IVcensored dataglobal influencemaximum likelihoododds exponential-Pareto IV distributionregression modelresidual analysis

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Area of Science:

  • Statistics
  • Probability Distributions
  • Survival Analysis

Background:

  • The odds family of distributions offers a flexible framework for statistical modeling.
  • Existing distributions may not capture complex hazard behaviors adequately.

Purpose of the Study:

  • Introduce and analyze the statistical properties of the novel odds exponential-Pareto IV distribution.
  • Develop and evaluate a new log location-scale regression model based on this distribution.

Main Methods:

  • Derivation of statistical properties for the odds exponential-Pareto IV distribution.
  • Parameter estimation using maximum likelihood and jackknife methods.
  • Simulation studies to assess estimator performance.
  • Application to real-world, right-censored datasets.

Main Results:

  • The odds exponential-Pareto IV distribution exhibits decreasing, increasing, and upside-down hazard functions.
  • Simulation studies validated the performance of the parameter estimators.
  • The proposed regression model effectively analyzed right-censored data.

Conclusions:

  • The odds exponential-Pareto IV distribution and its associated regression model are flexible and potent tools.
  • These new models show promise for applications in various fields requiring sophisticated statistical analysis.