首页> 中文期刊> 《应用数学和力学:英文版》 >CLASSICAL LIMITS FOR THE COEFFICIENT OF VARIATION FOR THE NORMAL DISTRIBUTION

CLASSICAL LIMITS FOR THE COEFFICIENT OF VARIATION FOR THE NORMAL DISTRIBUTION

         

摘要

The exact classical limits for the coefficient of variation c for the normal distributionare derived.The hand-calculating approximated classical limits for c having high accuracyare given to meet practical engineering needs.Using Odeh and Owen’s computationalmethod and Brent’s algorithm,the tables for ther-upper exact classical limits of coefficientof variation.for normal distribution are calculated for the different confidence coefficientγ,the sample size n=I(1)30,40,60,120,the sample coefficient of variation(?)=0.01 (0.01)0.20.It is shown that if n≤8,(?)≤0.20,then the Y-upper exact classicallimits cu for c are slightly higher than the exact fiducial limits cu,F for c.if n8,(?)≤0.20,then cu-cu,F5×10-6.

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