Likelihood-based confidence intervals for a log-normal mean.

Abstract:

:To construct a confidence interval for the mean of a log-normal distribution in small samples, we propose likelihood-based approaches - the signed log-likelihood ratio and modified signed log-likelihood ratio methods. Extensive Monte Carlo simulation results show the advantages of the modified signed log-likelihood ratio method over the signed log-likelihood ratio method and other methods. In particular, the modified signed log-likelihood ratio method produces a confidence interval with a nearly exact coverage probability and highly accurate and symmetric error probabilities even for extremely small sample sizes. We then apply the methods to two sets of real-life data.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Wu J,Wong AC,Jiang G

doi

10.1002/sim.1381

subject

Has Abstract

pub_date

2003-06-15 00:00:00

pages

1849-60

issue

11

eissn

0277-6715

issn

1097-0258

journal_volume

22

pub_type

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