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Research Report SRR95-004

Reml A Brief Review

T.P. Speed

Abstract: The method of restricted (also called residual or modified) maximum likelihood (REML) for the estimation of dispersion parameters is briefly reviewed. We begin by summarizing the origins of the approach, and then discuss different rationales for and derivations of the REML likelihood. The REML equations are presented and methods for their solution described. Other topics reviewed include the connexion between REML and BLUP, asymptotic theory, simulation results, and robust REML. A wide variety of applications of REML are mentioned.


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