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一个新的林德利分布类别:系统可靠性,模拟和应用
Danish Qayoom1, Aafaq A Rather1, Najwan Alsadat2
1Symbiosis Statistical Institute, Symbiosis International (Deemed University), Pune, 411004, India.
Heliyon
|October 15, 2024
概括
研究人员引入了DUS林德利分布,这是一个从林德利分布衍生的新型概率模型. 与现有模型相比,这种新分布在现实世界数据适配方面表现出卓越的性能.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 数学建模的数学建模
背景情况:
- 林德利分布是各种领域广泛使用的概率分布.
- 持续需要新的概率分布,以提高灵活性和适用性.
- 现有分布的转换是开发新型统计模型的常见方法.
研究的目的:
- 介绍和分析小说DUS林德利分布的统计属性.
- 研究DUS林德利分布的参数估计方法.
- 用现实数据评估DUS林德利分布的性能和适用性.
主要方法:
- 将DUS转换应用于林德利分布,以导出新的DUS林德利分布.
- 统计属性的全面分析,包括PDF,CDF,故障率,时刻和度.
- 使用诸如最大概率估计 (MLE),加权最小平方 (WLS) 和安德森-达林 (AD) 等方法进行参数估计.
- 通过模拟研究估计系统可靠性和评估MLE的性能.
- 在两个真实世界数据集上与现有的分布进行应用和比较.
主要成果:
- 成功推导出DUS林德利分布,并详细说明其关键的统计属性.
- 应用了各种估计技术,通过模拟来评估MLE性能.
- 与其他已建立的分布相比,DUS Lindley分布与分析的现实世界数据集相匹配.
- 概率比率测试用于模型比较.
结论:
- DUS林德利分布是一个有希望的新概率模型,具有可取的统计特性.
- 建议的估计方法对于DUS林德利分布是有效的.
- DUS Lindley分布为模拟现实世界现象提供了一个有价值的替代方案,在特定应用中表现优于现有的分布.
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