从双变通用线性指数分布的顺序统计的同时发生:理论和实践
1Department of Mathematics and Statistics, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.
Entropy (Basel, Switzerland)
|January 28, 2026
概括
这项研究分析了从双变的通用线性指数 (BGLE) 分布的顺序统计数据,推导出关键的概率密度函数和同时发生的时刻. 调查结果有助于估计规模参数,使用排序集采样技术.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
背景情况:
- 订单统计数据及其伴随的数据在统计推断中至关重要.
- 双变的通用线性指数分布 (BGLE) 为双变数据提供了一个灵活的模型.
研究的目的:
- 调查从BGLE分布的顺序统计数据的同时发生的属性.
- 为了导出这些并发的概率密度函数 (PDF) 和时刻.
- 将这些发现应用于使用排序集采样进行参数估计.
主要方法:
- 单个并发的PDF和两个并发的联合PDF的导出.
- 计算单一和产品时刻的同时发生的事件.
- 一个尺度参数的最佳线性无偏估计器 (蓝色) 的开发.
主要成果:
- 获取了PDF文件的明确公式和BGLE发行同时发生的时刻.
- 该研究确定了使用排序集采样估计规模参数的方法.
- 通过对真实数据集的应用来证明其实际实用性.
结论:
- 这项研究提供了一个理论框架,用于理解BGLE分布的并发因素.
- 衍生的估计器为规模参数估计提供了有效的方法.
- 这些发现对各种领域的统计建模和数据分析有影响.
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