航空学报 > 1992, Vol. 13 Issue (10): 501-505

最大标准差和最大变异系数方法

傅惠民, 高镇同   

  1. 北京航空航天大学固体力学所 北京 100083
  • 收稿日期:1991-08-31 修回日期:1991-11-30 出版日期:1992-10-25 发布日期:1992-10-25

METHODS OF SUPREMUM OF POPULATION STANDARD DEVIATION AND VARIATION COEFFICIENT

Fu Hui-min , Gao Zhen-tong   

  1. Institute of Solid Mechanics , Beijing University of Aeronautics and Astronautics, Beijing, 100083
  • Received:1991-08-31 Revised:1991-11-30 Online:1992-10-25 Published:1992-10-25

摘要: 提出最大标准差方法和最大变异系数方法,能充分利用以往数据和经验提供的信息,大大减少了试件个数。与国际上常用的单侧容限系数法相比,可节省大量试件;而在试件个数相同的情况下,则可得到更接近母体百分位值的置信下限(如安全寿命或安全疲劳极限等)。

关键词: 标准差上界, 变异系数上界, 母体百分位值, 置信下限

Abstract: It is easy to determine the supremum of the population standard deviation or coefficient of variation for the material to be tested although to find the standard deviation or coefficient of variation is difficult by means of the information from data-base before the test begins.On the basis of the fact, the methods of supremum of population standard deviation and coefficient of variation are presented for test design and statistical analysis of the result. The one-sided lower confidence limits of the population percentiles obtained by the methods are greater than that by the one-sided tolerance factor at a given confidence level, the number of specimens requires fewer.

Key words: supremum of standard deviation, supremum of variation coefficient, population percentile, one-sided lower confidence limit