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在逐步的II型审查计划下,对Kumaraswamy发行进行最佳抽样和统计推断
Osama E Abo-Kasem1, Ahmed R El Saeed2, Amira I El Sayed3
1Department of Statistics, Faculty of Commerce, Zagazig University, Zagazig, Egypt.
Scientific reports
|July 26, 2023
概括
本研究引入了使用渐进型II类审查估计库马拉斯瓦米分布参数的新方法. 它比较贝叶斯式和非贝叶斯式方法,为可靠性分析提供了洞察力.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 可靠性工程可靠性工程
背景情况:
- 库马拉斯瓦米分布被广泛应用于各种领域.
- 渐进式II型审查是一种高效的数据收集方法.
- 对这种在审查下分布的参数估计对于准确的分析至关重要.
研究的目的:
- 开发和比较库马拉斯瓦米分布参数的非贝叶斯和贝叶斯估计技术.
- 调查不同估计器和审查方案的表现.
- 通过实际数据应用提供实际指导.
主要方法:
- 最大概率估计 (MLE) 和最大产品间距 (MPS).
- 使用平方误差,线性指数和一般损失函数进行贝叶斯估计.
- 林德利近似和马尔科夫链蒙特卡洛 (MCMC) 用于贝叶斯估计.
- 推导非对称分布和信心/可信区间的推导.
- 优化逐步审查计划的优化.
主要成果:
- 为库马拉斯瓦米参数推导MLE和MPS估计器.
- 获得贝叶斯估计器和最高后密度可信区间.
- 通过模拟研究评估估计器性能.
- 确定最佳的渐进式审查方案.
结论:
- 该研究提供了一个全面的框架,用于在渐进式II型审查下对Kumaraswamy分布的参数估计.
- 贝叶斯和非贝叶斯的方法都提供了有价值的估计技术.
- 这些发现用现实世界的数据应用来说明,证明了实际的实用性.
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