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Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean
Author(s) -
Wararit Panichkitkosolkul
Publication year - 2013
Publication title -
journal of probability and statistics
Language(s) - English
Resource type - Journals
eISSN - 1687-9538
pISSN - 1687-952X
DOI - 10.1155/2013/324940
Subject(s) - cdf based nonparametric confidence interval , robust confidence intervals , confidence interval , confidence distribution , statistics , mathematics , confidence region , coverage probability , population , credible interval , monte carlo method , medicine , environmental health
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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