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Biometrika 1982 69(3):667-669; doi:10.1093/biomet/69.3.667
© 1982 by Biometrika Trust
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MISCELLANEA

Estimating equations in the presence of prior knowledge

P. E. FERREIRA

Department of Statistics, University of Brasilia Brasilia, Brazil

Godambe's (1960) criterion of optimality for estimating equations is extended to the case where prior knowledge is given. The optimality of the estimating equation {partial}log{xi}({theta}|x)/{partial}{theta} = 0, where {xi}({theta}|x) is the posterior density, is shown under certain assumptions. The nuisance parameter case is also analysed.

Key Words: Estimating equations • Information • Nuisance parameter


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