The variable for the generalized confidence interval for the lognormal mean

Abstract

The purpose of this paper is to propose a new variable for the generalized confidence interval method to estimate the confidence interval of the lognormal mean. In order to evaluate the efficiency of this new method, here called t-generalized method, a simulation study was conducted to examine and compare the coverage probability, interval width, and relative bias of this new method and three other methods, the generalized confidence method of Krishnamoorthy and Mathew provide coverage probabilities greater than the nominal level. The t-generalized method is more accurate with a shorter confidence interval than the old generalized confidence method in the case of small sample size with large variances.

Keywords

• coverage probability
• interval width
• relative bias
• generalized confidence interval
• modified cox
• Angus's conservative
• t-generalized