Evaluating the Goodness of the Sample Coefficient of Variation via Discrete Uniform Distribution
AbstractIn this paper we evaluate whether the sample coefficient of variation (CV) is a good estimator for the population coefficient of variation, when the random variable (r.v.) follows the discrete uniform distribution . Samples both with replacement and without replacement are examined and the percentage of the values of the estimator that lie within the bounds of the corresponding population coefficient of variation sqrt(3)/3<CV<1 is calculated as a measure of goodness. The study of the above samples indicates that the goodness of the sample coefficient of variation estimator increases in parallel with the sample size. The overall study gives a good idea of ‘whether the sample coefficient of variation is generally a good estimator’.
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