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统计推断纳达拉贾-哈吉吉分布在统一的混合审查下竞争风险数据数据的统计推断
1Department of Mathematics, Faculty of Sciences, Umm AL-Qura University, Saudi Arabia.
Heliyon
|April 2, 2024
概括
本研究涉及纳达拉贾和哈吉分布 (NHD) 推断,使用竞争风险模型中的统一混合审查方案 (UHCS). 它提供了分析部分观察到的故障原因的统计方法,为产品可靠性提供了洞察力.
科学领域:
- 统计 统计 统计 统计
- 可靠性工程可靠性工程
- 生存分析的分析.
背景情况:
- 竞争风险模型分析了多个故障原因的故障时间,这些原因可以是依赖的或独立的.
- 统一混合审查方案 (UHCS) 是一种有效收集故障数据的统计方法.
- 纳达拉贾和哈吉分布 (NHD) 是一个灵活的概率分布,用于统计建模.
研究的目的:
- 根据统一的混合审查计划 (UHCS),调查纳达拉贾和哈吉分布 (NHD) 的统计推断.
- 分析具有部分观察到故障原因的竞争性风险模型.
- 为了比较可靠性分析的不同估计方法.
主要方法:
- 最大概率估计 (MLE) 用于参数估计.
- 构建近似的置信区间 (ACI).
- 贝叶斯估计使用二次错误损失函数 (SELF) 和马尔科夫链蒙特卡洛 (MCMC) 对于最高后密度 (HPD) 间隔.
主要成果:
- 该研究在竞争性风险设置下在HUCS下为NHD参数推导了MLE并构建了ACI.
- 贝叶斯估计器和HPD间隔是使用MCMC方法获得的.
- 模拟研究和现实世界数据集 (电器) 都用于验证和说明.
结论:
- 拟议的统计方法为分析可靠性数据提供了有效的工具,在混合审查下具有竞争风险的可靠性数据.
- 该研究展示了NHD,UHCS和各种估计技术在实际可靠性工程中的应用.
- 这些发现有助于更好地了解故障机制和产品寿命预测.
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