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<p>The modified Sunil distribution and its corresponding regression model are discrete Lagrange probability distributions. The Sunil distribution is derived through the first Lagrange expansion. The derivation of the modified Sunil distributions are provided, along with a discussion on parameter estimation. Using the modified Sunil distribution, a modified Sunil regression model is formulated. Simulation data, along with a real-world dataset, are utilized to demonstrate the application of the modified Sunil regression model. A comparison between the modified Sunil regression model and the Poisson regression model shows that the modified Sunil regression model offers superior performance.</p>

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The Modified Sunil Distribution: Theory, Estimation, and Comparative Applications Using Batterers and Victim Survey Data

  • 期刊论文

  • 发表日期：

    2025年3月19日

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  • Fadal Abdullah Ali Aldhufairi,
  • Hasnah Ali Ahmed Alolaywi

摘要

The modified Sunil distribution and its corresponding regression model are discrete Lagrange probability distributions. The Sunil distribution is derived through the first Lagrange expansion. The derivation of the modified Sunil distributions are provided, along with a discussion on parameter estimation. Using the modified Sunil distribution, a modified Sunil regression model is formulated. Simulation data, along with a real-world dataset, are utilized to demonstrate the application of the modified Sunil regression model. A comparison between the modified Sunil regression model and the Poisson regression model shows that the modified Sunil regression model offers superior performance.