Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 486-492.
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(Yanbei Teachers Collge, Datong 037000)
Online:
Published:
Abstract:
For the general growth curve linear model:
Y q×n = A q×m B m×k C k×n + eq×n ,
where E(e)=0,and Cov(e→)=Vn×n×Σq×q, three relative efficiencies of B:
Δp1(B|B*)=[tr((CovB)·(Cov -1B*))p]1/p，
Δp2(B|B*)=[tr(CovB - CovB#)p]1/p，
Δp3(μ|μ#)=[tr(Covμ- Covμ*)p]1/p，
are proposed and their upper bounds are given, where p≥1,μ=ABC,μ*=AB*C.
Key words: Growth curve model, Estimate, Relative efficiency.
CLC Number:
Zhang Riquan Zhang Yusheng. Some Relative Efficiencies of B in Growth Curve Model[J].Acta mathematica scientia,Series A, 1999, 19(5): 486-492.
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