逆瑞利分布和对数逻辑分布下过程能力指数的区间估计  

Interval estimation for the process capability index under the inverse Rayleigh and log-logistic distributions

作　　者：牟唯嫣 贾晓芳 熊世峰[2] MU Weiyan;JIA Xiaofang;XIONG Shifeng(College of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China)

机构地区：[1]北京建筑大学理学院,北京100044 [2]中国科学院数学与系统科学研究院,北京100190

出　　处：《中国科学院大学学报（中英文）》2024年第6期728-735,共8页Journal of University of Chinese Academy of Sciences

基　　金：国家自然科学基金(12171462,11871033,11871294);北京建筑大学研究生创新项目(PG2021018)资助。

摘　　要：讨论在逆瑞利分布和对数逻辑分布下一个重要的过程能力指数C Npk的统计推断问题。构造C Npk的广义枢轴量,然后提出其广义置信区间。数值结果表明,所提出的区间估计在覆盖率和区间长度方面比bootstrap方法具有更好的性能。The process capability indices are widely applied to measure the productivity of a process in manufacturing and industrial applications.In this paper,we discuss the statistical inferential problem on an important process capability index C Npk under the inverse Rayleigh and log-logistic distributions.We construct the generalized pivotal quantities for C Npk,and subsequently the generalized confidence intervals proposed.Numerical results show that the proposed interval estimation performs better than the bootstrap method in terms of coverage rate and interval width.

关 键 词：广义枢轴量 广义置信区间 过程能力指数 逆瑞利分布 对数逻辑分布 

分 类 号：O58[理学—物理]