ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL | Zendy

Yunying Huang | Zendy; Bing Zheng | Zendy; Guoliang Chen | Zendy

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ON EQUALITIES OF BLUES FOR A MULTIPLE RESTRICTED PARTITIONED LINEAR MODEL

Author(s) -

Yunying Huang,

Bing Zheng,

Guoliang Chen

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1555

Subject(s) - combinatorics , mathematics

For the multiple restricted partitioned linear model M = {y,X1 β1 + · · · + Xsβs | A1β1 = b1, · · · , Asβs = bs,Σ}, the relationships between the restricted partitioned linear model M and the corresponding s small restricted linear models Mi = {y,Xiβi | Aiβi = bi,Σ}, i = 1, · · · , s are studied. The necessary and sufficient conditions for the best linear unbiased estimators (BLUEs) under the full restricted model to be the sums of BLUEs under the s small restricted model are derived. Some statistical properties of the BLUEs are also described.

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