The interval estimates for the difference and the ratio of two lognormal means
Date Issued
2009
Date
2009
Author(s)
Lin, Chien-You
Abstract
The log-normal distribution is a one-tailed probability distribution of any variable, logarithm is normally distributed. Health research often gives rise to data that are positive and highly skewed. In many situations, the data follow lognormal distributions. This thesis investigates the interval estimates for the difference and the ratio of two lognormal means by using there different methods: bootstrap, generalized pivotal quantity and nonparametric method.he result showed that the generalized pivotal quantity method has the good coverage probability and the shortest interval length in computation confidence interval. There is no research in literature about the confidence interval for the ratio of two lognormal means in nonparametric method. Therefore, in this thesis, we propose two confidence interval estimations for the ratio of means in nonparametric case. he computations of the two estimations are much faster then those obtained from other methods.
Subjects
bootstrap
generalize pivotal quantity
nonparametric method
lognormal distribution
Type
thesis
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