Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (5): 427-434.

• 论文 • 上一篇    下一篇

CLASSICAL LIMITS FOR THE COEFFICIENT OF VARIATION FOR THE NORMAL DISTRIBUTION

周源泉   

  1. Beijing Institute of Strength and Environment, Beijing
  • 收稿日期:1986-08-27 出版日期:1989-05-18 发布日期:1989-05-18

CLASSICAL LIMITS FOR THE COEFFICIENT OF VARIATION FOR THE NORMAL DISTRIBUTION

Zhou Yuan-quan   

  1. Beijing Institute of Strength and Environment, Beijing
  • Received:1986-08-27 Online:1989-05-18 Published:1989-05-18

摘要: The exact classical limits for the coefficient of variation c for the normal distribution are derived. The hand-calculating approximated classical limits for c having high accuracy are given to meet practical engineering needs. Using Odeh and Owen’s computational method and Brent’s algorithm, the tables for the r-upper exact classical limits of coefficient of variation for normal distribution are calculated for the different confidence coefficient γ, the sample size n=1(1)30,40,60,120, the sample coefficient of variation ε=0.01(0.01)0.20. It is shown that if n<8,ε<0.20, then the γ-upper exact classical limits cu for c are slightly higher than the exact fiducial limits cu,F for c if. n>8, c<0.02,then cu-cu,F<5×10-6.

Abstract: The exact classical limits for the coefficient of variation c for the normal distribution are derived. The hand-calculating approximated classical limits for c having high accuracy are given to meet practical engineering needs. Using Odeh and Owen’s computational method and Brent’s algorithm, the tables for the r-upper exact classical limits of coefficient of variation for normal distribution are calculated for the different confidence coefficient γ, the sample size n=1(1)30,40,60,120, the sample coefficient of variation ε=0.01(0.01)0.20. It is shown that if n<8,ε<0.20, then the γ-upper exact classical limits cu for c are slightly higher than the exact fiducial limits cu,F for c if. n>8, c<0.02,then cu-cu,F<5×10-6.

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