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Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean

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  • Wararit Panichkitkosolkul

Abstract

This paper presents three confidence intervals for the coefficient of variation in a normal distribution with a known population mean. One of the proposed confidence intervals is based on the normal approximation. The other proposed confidence intervals are the shortest-length confidence interval and the equal-tailed confidence interval. A Monte Carlo simulation study was conducted to compare the performance of the proposed confidence intervals with the existing confidence intervals. Simulation results have shown that all three proposed confidence intervals perform well in terms of coverage probability and expected length.

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  • Wararit Panichkitkosolkul, 2013. "Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean," Journal of Probability and Statistics, Hindawi, vol. 2013, pages 1-11, November.
    • Handle: RePEc:hin:jnljps:324940
    DOI: 10.1155/2013/324940
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