基于统一的渐进式混合审查计划的Burr III类型分布的估计和预测
Subhankar Dutta1, Suchandan Kayal1
1Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India.
Journal of applied statistics
|January 5, 2024
概括
本研究介绍了使用统一的渐进式混合审查来估计Burr-III分布的统计方法. 它提供了各种估计技术和置信区间,通过模拟和真实数据分析验证.
科学领域:
- 统计 统计 统计 统计
- 可能性分布的概率分布.
- 可靠性工程可靠性工程
背景情况:
- 伯尔-III分布是各种数据类型的灵活模型.
- 统一的渐进式混合审查是一种高效的数据收集方案.
- 准确的参数估计对于可靠的分析至关重要.
研究的目的:
- 开发用于估计和预测Burr-III分布参数的统计工具.
- 在特定的审查计划下探索不同的估计方法.
- 为实际应用提供强大的置信区间.
主要方法:
- 最大的概率估计 (MLE)
- 预期最大化 (EM) 和随机EM算法.
- 对于置信区间的引导和异常方法.
- 贝叶斯推理与二次错误和LINEX损失函数的贝叶斯推理.
- 大都会 - 黑斯廷斯算法用于近似贝叶斯估计.
- 最大的后期估计 (MAP) 估计.
主要成果:
- 最大概率估计 (MLE) 的独特存在.
- 开发近似和启动的置信区间.
- 贝叶斯估计和最高后密度 (HPD) 可信区间的推导.
- 贝叶斯预测估计的计算.
- 通过蒙特卡洛模拟验证方法.
结论:
- 拟议的统计程序对于Burr-III分布分析是有效的.
- 该研究为参数估计和预测提供了一个全面的框架.
- 通过实践示例,使用真实数据集来演示方法.
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