Confidence intervals for the difference and the ratio of Lognormal means with bounded parameters

Abstract

In this paper, confidence intervals for the difference between lognormal means and the ratio of lognormal means with restricted parameter spaces are proposed. The modified confidence intervals perform well both for the coverage probability and the expected length. We show these results via Monte Carlo simulation.

Keywords

• generalized confidence interval
• simple confidence interval for lognormal means
• simple confidence interval for ratio of lognormal means
• Monte Carlo simulation