Confidence intervals for the ratio of medians of two independent log-normal distributions. Issue 11 (2nd November 2022)

• Record Type: Journal Article
• Authors: Singhasomboon, Lapasrada; Panichkitkosolkul, Wararit; Volodin, Andrei
• Is Part Of: Communications in statistics. Volume 51:Issue 11(2022)
• Page Start: 6729
• Page End: 6738
• Publication Date: 2022-11-02
• Subjects: Central tendency -- Generalized confidence interval -- Interval estimation -- Normal approximation -- simulation -- Skew distribution -- Variance estimates recovery; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2020.1812649
• Languages: English
• ISSNs: 0361-0918

Abstract

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 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 μ i, σ i 2 and/or sample sizes. The confidence intervals are illustrated using real data examples.