A projection method of estimation for a subfamily of exponential families

DOI10.1007/BF02482525zbMath0614.62028MaRDI QIDQ1819849

Shinto Eguchi

Publication date: 1986

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic normalityexponential familyprojection estimatorsufficient statisticMahalanobis distancefirst-order efficiencyABO blood group modelone-step maximum likelihood estimatorsecond-order efficient

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10)

Cites Work

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• A characterization of second order efficiency in a curved exponential family
• Second order efficiency of minimum contrast estimators in a curved exponential family
• Asymptotically efficient estimation of covariance matrices with linear structure
• Product models for frequency tables involving indirect observation
• Differential-geometrical methods in statistics
• THE ESTIMATION OF GENE FREQUENCIES IN A RANDOM-MATING POPULATION

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