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Derivation of confidence intervals for the difference, sum and ratio of coefficients of variation of normal distribution with a known ratio of variances

Abstract

This research paper proposes the confidence interval for the difference, sum and ratio of coefficients of variation of normal distribution with a known ratio of variance. The modified confidence intervals perform well for both the coverage probability and the expected length. These results are shown via Monte-Carlo simulation.

Simulation Techniques and ApplicationsBayesian Methods and Mixture ModelsStatistical Distribution Estimation and ApplicationsConfidence intervalStatisticsMathematicsCDF-based nonparametric confidence intervalRobust confidence intervalsConfidence distributionMonte Carlo methodDistribution (mathematics)Normal distributionVariance (accounting)
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Derivation of confidence intervals for the difference, sum and ratio of coefficients of variation of normal distribution with a known ratio of variances · Scinovex