Zhou Yuan-quan. Classical Limits for the Coefficient of Variation for the Normal Distribution[J]. Applied Mathematics and Mechanics, 1989, 10(5): 411-418.
Citation: Zhou Yuan-quan. Classical Limits for the Coefficient of Variation for the Normal Distribution[J]. Applied Mathematics and Mechanics, 1989, 10(5): 411-418.

Classical Limits for the Coefficient of Variation for the Normal Distribution

  • Received Date: 1986-08-27
  • Publish Date: 1989-05-15
  • 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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