Advances and Applications in Statistics
Volume 42, Issue 1, Pages 1 - 14
(September 2014)
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CONFIDENCE INTERVALS FOR THE INVERSE OF MEAN IN A NORMAL DISTRIBUTION WITH A KNOWN COEFFICIENT OF VARIATION
Arunee Wongkhao, Sa-aat Niwitpong and Suparat Niwitpong
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Abstract: This paper presents two new confidence intervals for the inverse of mean in a normal distribution with a known coefficient of variation. The first of these confidence intervals, for this problem, is constructed based on the pivotal statistic Z, where Z is a standard normal distribution and the second is constructed based on a fiducial quantity. A Monte Carlo simulation study was conducted to compare the performance of these confidence intervals, in terms of coverage probabilities and expected lengths, with the bootstrap confidence intervals. |
Keywords and phrases: inverse of mean, confidence interval, coefficient of variation. |
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