Classical Limits for the Coefficient of Variation for the Normal Distribution

Zhou Yuan-quan

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(5): 411-418

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.

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.

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Classical Limits for the Coefficient of Variation for the Normal Distribution

Zhou Yuan-quan

Beijing Institute of Strength and Environment, Beijing

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

Abstract

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 c_u for c are slightly higher than the exact fiducial limits c_u,F for c if.n>8,c<0.02,then c_u-c_u,F<5×10^-6.

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References(10)

References

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