Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity

dc.contributor.author	Romero Padilla, Juan Manuel	en_US
dc.date.accessioned	2014-09-17T17:28:56Z
dc.date.available	2014-09-17T17:28:56Z
dc.date.issued	2014-09-17
dc.date.submitted	January 2014	en_US
dc.identifier.other	DISS-12783	en_US
dc.identifier.uri	http://hdl.handle.net/10106/24709
dc.description.abstract	A preliminary test estimator of variance in the bivariate normal distribution is proposed after Pitman-Morgan test of homogeneity of two variances. We propose one estimator of variance after preliminary test of two tails and another one for one tail test. The biases and mean square errors of both estimators are derived. The relative efficiency (RE) of the preliminary test estimator is studied. Computations and 3D graphs of RE for different parameters are analyzed. In order to get the maximum RE, recommendations of the significance level for the preliminary test are given for various sample sizes by using the max-min criterion.	en_US
dc.description.sponsorship	Han, Chien-Pai	en_US
dc.language.iso	en	en_US
dc.publisher	Mathematics	en_US
dc.title	Estimation Of Variance In Bivariate Normal Distribution After Preliminary Test Of Homogeneity	en_US
dc.type	Ph.D.	en_US
dc.contributor.committeeChair	Han, Chien-Pai	en_US
dc.degree.department	Mathematics	en_US
dc.degree.discipline	Mathematics	en_US
dc.degree.grantor	University of Texas at Arlington	en_US
dc.degree.level	doctoral	en_US
dc.degree.name	Ph.D.	en_US