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权重累积过去缩及其推理
Mohammad Reza Kazemi1, Majid Hashempour2, Maria Longobardi3
1Department of Statistics, Faculty of Science, Fasa University, Fasa IS74, Iran.
Entropy (Basel, Switzerland)
|July 8, 2023
概括
本研究为连续随机变量引入了加权累积过去外 (WCPJ). 它提出了一个基于WCPJ的新统计测试,在可靠性理论应用中显示出令人满意的性能.
科学领域:
- 概率与统计学 概率与统计学
- 可靠性理论可靠性理论
- 信息理论 信息理论
背景情况:
- 累积过去的外是不确定性的衡量标准.
- 对外观的概括对于统计分析很重要.
- 订单统计在非参数推理中发挥着关键作用.
研究的目的:
- 介绍并研究连续随机变量的加权累积过去外 (WCPJ).
- 调查WCPJ的属性和不平等.
- 开发和评估基于WCPJ的经验测试统计数据,用于可靠性分析.
主要方法:
- 权重累积过去外的定义和理论分析.
- 探索与订单统计相关的WCPJ属性.
- 导出 WCPJ 边界的不等式.
- 开发一个经验性的WCPJ测试统计.
- 测试统计数据的临界切断点的数值计算.
主要成果:
- 证明了最后一个顺序统计的相同WCPJ意味着相同的分布.
- 获得了一些涉及WCPJ边界的不平等.
- 提出了可靠性分析的新测试统计.
- 模拟研究比较了拟议测试与替代品的功率,显示了可变但有时更高的性能.
结论:
- 拟议的加权累积过去的外为统计分析和可靠性理论提供了有价值的工具.
- 经验性WCPJ测试统计是一个有希望的方法,提供了简单性和信息内容的良好平衡.
- 进一步的研究可以探索在不同的统计环境和各种数据类型中的应用.
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