Ngamphol SunthornworasiriMontip TiensuwanBimal K. SinhaMahidol UniversityUniversity of Maryland, Baltimore County2018-07-122018-07-122008-12-17Model Assisted Statistics and Applications. Vol.3, No.4 (2008), 305-316157416992-s2.0-57549091753https://repository.li.mahidol.ac.th/handle/20.500.14594/19412In this paper we derive Bayes estimates of the parameters of a bivariate normal population under the constraint of either a common mean or a common variance. Some environmental and medical applications are indicated. Results of a simulation study based on a small sample size to compare the maximum likelihood estimates and the Bayes estimates indicate that they are mostly equivalent. © 2008 IOS Press. All rights reserved.Mahidol UniversityMathematicsArticleSCOPUS