Publisher : Korean Data and Information Science Society
DOI : 10.7465/jkdi.2016.27.4.1091
Title & Authors
Noninformative priors for linear function of parameters in the lognormal distribution Lee, Woo Dong; Kim, Dal Ho; Kang, Sang Gil;
This paper considers the noninformative priors for the linear function of parameters in the lognormal distribution. The lognormal distribution is applied in the various areas, such as occupational health research, environmental science, monetary units, etc. The linear function of parameters in the lognormal distribution includes the expectation, median and mode of the lognormal distribution. Thus we derive the probability matching priors and the reference priors for the linear function of parameters. Then we reveal that the derived reference priors do not satisfy a first order matching criterion. Under the general priors including the derived noninformative priors, we check the proper condition of the posterior distribution. Some numerical study under the developed priors is performed and real examples are illustrated.
Linear function of parameters;lognormal distribution;matching prior;reference prior;
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