DUS Topp-Leone-G 分布家族:基线扩展,属性,估计,模拟和有用的应用
Divine-Favour N Ekemezie1, Kizito E Anyiam2, Mohammed Kayid3
1Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, P.O. Box 5025, Awka 420007, Nigeria.
Entropy (Basel, Switzerland)
|November 27, 2024
概括
一个新的DUS Topp-Leone分布家族提供了增强的统计建模灵活性. 这种新的分布有效地分析了生命周期数据,并优于现有的参数估计方法.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 统计分布的统计分布
背景情况:
- 托普-莱昂分布是统计建模的一个有价值的工具.
- 需要更灵活的分布来分析复杂的生命周期现象.
- DUS变压器提供了一种新的方式来扩展现有分布.
研究的目的:
- 介绍DUS Topp-Leone家族的分发系统.
- 导出并分析DUS-TL指数分布的属性.
- 评估新分布家族的参数估计方法.
- 证明分布对现实世界数据集的适用性.
主要方法:
- 对于DUS Topp-Leone家族的累积分布函数 (CDF) 和概率密度函数 (PDF) 的导数.
- 对DUS-TL指数子模型的分析和图形分析.
- 评估参数估计技术,包括最大概率,最小平方和贝叶斯方法.
- 将DUS Topp-Leone分布应用于总因子生产率数据和药物使用者死亡率数据.
主要成果:
- DUS Topp-Leone家族提供了Topp-Leone分布的灵活扩展.
- DUS-TL指数分布表现出单模形状和脂肪尾特征,适用于时间到事件数据.
- 与贝叶斯方法相比,非贝叶斯估计方法 (最大概率,最小平方) 显示出较低的偏差和根平均平方误差.
- 该分布有效地建模了具有多样化的斜率和曲率的数据集.
结论:
- DUS Topp-Leone家族代表了统计建模中的重大进步.
- 这种新的分布提供了强大的工具来分析各种生命周期现象和复杂的数据集.
- 这些发现支持在需要灵活的统计建模的各种研究领域中使用DUS Topp-Leone家族.
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