Title: Confidence intervals for the ratio of medians of two independent log-normal distributions
Abstract:We focus on the construction of confidence intervals for the ratios of medians of two independent, log-normal distributions based on the normal approximation (NA) approach, the method of variance esti...We focus on the construction of confidence intervals for the ratios of medians of two independent, log-normal distributions based on the normal approximation (NA) approach, the method of variance estimate recovery (MOVER), and the generalized confidence interval (GCI) approach. We also compare the performance of the three confidence intervals in terms of the coverage probabilities, and average lengths, using Monte Carlo simulations. The results show that the GCI confidence interval is generally preferred in terms of coverage probabilities; however, the average length for the GCI is always wider than for other approaches. The NA and MOVER approaches could be recommended on the basis of the specific values of μi,σi2 and/or sample sizes. The confidence intervals are illustrated using real data examples.Read More
Publication Year: 2020
Publication Date: 2020-08-28
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 5
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