| dc.contributor.author | Hamdan, Mustafa | |
| dc.contributor.author | Hu, Xiaomi | |
| dc.date.accessioned | 2019-02-08T03:47:24Z | |
| dc.date.available | 2019-02-08T03:47:24Z | |
| dc.date.issued | 2019-05 | |
| dc.identifier.citation | Hamdan, Mustafa; Hu, Xiaomi. 2019. Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions. Statistics & Probability Letters, vol. 148:pp 59-65 | en_US |
| dc.identifier.issn | 0167-7152 | |
| dc.identifier.uri | https://doi.org/10.1016/j.spl.2019.01.004 | |
| dc.identifier.uri | http://hdl.handle.net/10057/15798 | |
| dc.description | Click on the DOI link to access the article (may not be free). | en_US |
| dc.description.abstract | In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order restriction. The multivariate order relation in the restriction is a generalization of orders in real numbers. Based on the study of the structure of the acceptance region with respect to a mirror image transformation, and the properties of transformed matrix distributions, the unbiasedness of the test is established. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartofseries | Statistics & Probability Letters;v.148 | |
| dc.subject | Closed convex cone | en_US |
| dc.subject | Matrix projection | en_US |
| dc.subject | Multivariate normal distribution | en_US |
| dc.subject | nMultivariate order restriction | en_US |
| dc.subject | Unbiased test | en_US |
| dc.title | Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © 2019 Elsevier B.V. All rights reserved. | en_US |
