严格的界限 共同分配 订单统计的功能 根据 k-独立性
Andrzej Okolewski1, Barbara Blazejczyk-Okolewska2
1Institute of Mathematics, Lodz University of Technology, 93-590 Lodz, Poland.
Entropy (Basel, Switzerland)
|December 24, 2025
概括
这项研究为订单统计的可靠性和分布特征提供了精确的界限. 这些发现为订单统计和系统可靠性的功能提供了准确的界限.
科学领域:
- 概率理论的概率理论是什么
- 数学统计的数学统计.
- 可靠性工程可靠性工程
背景情况:
- 顺序统计在统计分析中至关重要,它以上升顺序表示样本中的值.
- 可靠性和分布特征是包括工程和金融在内的各种领域的关键指标.
- 现有的界定这些特征的方法往往缺乏精度或通用性.
研究的目的:
- 建立订单统计的可靠性和分布性质的利,双边边界.
- 制定适用于独立和依赖随机变量的一般框架.
- 确定半连贯系统可靠性的最佳边界.
主要方法:
- 对于联合分布和可靠性函数的线性组合来说,指向点的利双面边界的导出.
- 该框架应用于k独立且相同分布的随机变量.
- 将方法扩展到任意依赖的观测.
主要成果:
- 建立了明确的双边界限,用于选择订单统计的联合分销和可靠性功能.
- 提供了对有限值随机变量订单统计学函数预期值的确切边界.
- 确定半连贯系统的联合可靠性函数的最佳上下界限.
结论:
- 开发的框架在边界顺序统计学特征方面取得了重大进展.
- 结果对复杂系统的可靠性分析有直接影响.
- 该研究提供了一种可靠和可通用的方法来评估可靠性和分布性质.
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