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The Distribution of the Quartile Coefficient of Variation when Sampling from a Uniform Distribution |
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PP: 51-54 |
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Author(s) |
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Hassan Elsalloukh,
Jose H. Guardiola,
Thomas C. McMillan,
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Abstract |
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| In this paper, we present the derivation of the distribution for the quartile coefficient of variation from a random sample drawn from a uniform distribution. Specifically, we consider a scenario in which a random sample is extracted from a population described by a uniform distribution. We outline a methodology to accurately determine the distribution of the quartile coefficient of variation, commencing with the general expression that defines it and utilizing suitable transformations such as the probability integral transformation method. Our novel contribution resides in offering an exact mathematical characterization of the quartile coefficient of variation in explicit form, as opposed to the commonly used numerical approximations. To demonstrate the practical utility of our findings, we present three examples that accommodate different sample sizes, ranging from small to relatively large samples. These illustrative instances underscore the practical significance of the derived distribution.
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