一个改进的Xgamma分布的扩展:它的属性,估计和对故障时间数据的应用
Abdullah M Alomair1, Ayesha Babar2, Muhammad Ahsan-Ul-Haq3,4
1Department of Quantitative Methods, School of Business, King Faisal University, 31982, Al-Ahsa, Saudi Arabia.
Heliyon
|February 3, 2025
概括
一个新的功率准Xgamma (PQXg) 分布为建模可变故障率提供了更大的灵活性. 与现有分布相比,这种增强的统计模型在真实世界数据分析中表现出优越的性能.
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:
- 传统的统计分布往往缺乏灵活性来建模复杂的真实世界数据.
- 可靠性分析中的可变失败率需要可适应的概率模型.
研究的目的:
- 引入一种新的,更灵活的统计模型:功率准Xgamma (PQXg) 分布.
- 研究PQXg分布的理论特性和可靠性测量.
- 使用现实数据对比PQXg分布与竞争模型的性能进行评估.
主要方法:
- 开发了PQXg分布,通过功率转换结合了额外的形状参数.
- 导出了关键的理论性质,包括时刻和可靠性指标 (生存函数,危险率,,应力强度可靠性).
- 采用了五种参数估计技术:最大概率,安德森-达林,克拉梅尔-·米塞斯,普通最小平方和加权最小平方.
- 利用蒙特卡洛模拟来评估各种样本大小的估计器性能.
主要成果:
- 由于其可变失效率形状,PQXg分布表现出增强的灵活性.
- 评估了参数估计方法的有效性.
- 与其他分布相比,PQXg分布在适用于对称和不对称的真实世界数据集时表现出优异的性能.
结论:
- 拟议的功率准Xgamma (PQXg) 分布是统计建模工具包中一个有价值和灵活的补充.
- PQXg分布为分析各种真实世界的数据提供了更好的性能,特别是在可靠性方面.
- 该研究验证了新分布及其估计方法的实用性和有效性.
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