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This manuscript presents a unique statistical framework termed the induced Juchez distribution, which represents an innovative alteration of the Juchez distribution. This model is refined through the application of a specific variant of a weighted probability function, referred to as the induced probability function. A comprehensive exposition of various statistical properties is provided, and the parameters pertaining to the probability distribution function are estimated employing the maximum likelihood estimation technique. Ultimately, to substantiate the superior fit of the newly modified Juchez distribution, a practical dataset pertaining to an intelligent irrigation system is illustrated and contrasted with the induced Garima distribution.

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A New Modified Juchez Distribution: Induced Juchez Distribution with Its Properties and Application in Intelligent Irrigation System Data

  • 会议论文

  • 发表日期：

    2025年

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  • M. Subhashree,
  • C. Subramanian

摘要

This manuscript presents a unique statistical framework termed the induced Juchez distribution, which represents an innovative alteration of the Juchez distribution. This model is refined through the application of a specific variant of a weighted probability function, referred to as the induced probability function. A comprehensive exposition of various statistical properties is provided, and the parameters pertaining to the probability distribution function are estimated employing the maximum likelihood estimation technique. Ultimately, to substantiate the superior fit of the newly modified Juchez distribution, a practical dataset pertaining to an intelligent irrigation system is illustrated and contrasted with the induced Garima distribution.