Unit extended exponential distribution with applications

IF 1.7 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Journal of Radiation Research and Applied Sciences Pub Date : 2024-09-26 DOI:10.1016/j.jrras.2024.101118

Ibrahim E. Ragab , Najwan Alsadat , Oluwafemi Samson Balogun , Mohammed Elgarhy

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Abstract

In this paper, the unit extended exponential distribution is presented. The extended exponential distribution is a two-parameter lifespan distribution that has been demonstrated to be very adaptable. Our goal is to convert this flexibility between the unit interval and the extended exponential distribution. Several different types of probability density functions, including decreasing, left-skewed, right-skewed, and unimodal, have been shown. However, the hazard rate function may take on various forms, including J-shaped, U-shaped, and bathtub shapes. A few statistical properties, such as moments, mean, variance, skewness, kurtosis, expectation-weighted moments, incomplete moments, conditional moments, mean deviation, Lorenz and Bonferroni curves, mean residual life, mean inactivity time, and various entropy measures, round out the theoretical section. The maximum likelihood technique is utilized to estimate model parameters using unit data. This study provides simulation data to evaluate the proposed strategy. Two applications utilizing actual data sets emphasize the significance of the new model compared to existing unit models.

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单元扩展指数分布及其应用

本文介绍了单位扩展指数分布。扩展指数分布是一种双参数寿命分布，已被证明具有很强的适应性。我们的目标是在单位区间和扩展指数分布之间转换这种灵活性。我们已经展示了几种不同类型的概率密度函数，包括递减型、左斜型、右斜型和单峰型。然而，危险率函数也有多种形式，包括 J 形、U 形和浴缸形。一些统计特性，如矩、均值、方差、偏斜度、峰度、期望加权矩、不完全矩、条件矩、平均偏差、洛伦兹曲线和邦费罗尼曲线、平均残余寿命、平均非活动时间以及各种熵指标，使理论部分更加完善。最大似然法是利用单位数据估算模型参数的方法。本研究提供了模拟数据来评估所提出的策略。利用实际数据集的两个应用强调了新模型与现有单元模型相比的重要性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Radiation Research and Applied Sciences MULTIDISCIPLINARY SCIENCES-

自引率

5.90%

发文量

130

审稿时长

16 weeks

期刊介绍： Journal of Radiation Research and Applied Sciences provides a high quality medium for the publication of substantial, original and scientific and technological papers on the development and applications of nuclear, radiation and isotopes in biology, medicine, drugs, biochemistry, microbiology, agriculture, entomology, food technology, chemistry, physics, solid states, engineering, environmental and applied sciences.