English

Generalized inference for the common mean of several lognormal populations

Statistics Theory 2014-05-06 v1 Statistics Theory

Abstract

A hypothesis testing and an interval estimation are studied for the common mean of several lognormal populations. Two methods are given based on the concept of generalized p-value and generalized confidence interval. These new methods are exact and can be used without restriction on sample sizes, number of populations, or difference hypotheses. A simulation study for coverage probability, size and power shown that the new methods are better than the existing methods. A numerical example is given with some real medical data.

Keywords

Cite

@article{arxiv.1405.0604,
  title  = {Generalized inference for the common mean of several lognormal populations},
  author = {Javad Behboodian and Ali Akbar Jafari},
  journal= {arXiv preprint arXiv:1405.0604},
  year   = {2014}
}