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Abstract: The geometrical structure of estimating functions is elucidated by information geometry in the framework of semiparametric statistical models. A condition which guarantees the existence of an estimating function is given. Moreover, the set of all the estimating functions is obtained explicitly when it is not null. The optimal estimating function is derived, and the maximum Godambe information is explicitly given. A geometrical condition is given which guarantees that the Godambe information is... (Update)
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BibTeX entry: (Update)
S. Amari and M. Kawanabe (1996b), Estimating functions in semiparametric statistical models, Estimating Functions, edited by V.P. Godambe (in press) http://citeseer.ist.psu.edu/401523.html More
@misc{ amari-estimating,
author = "S. Amari and M. Kawanabe",
title = "Estimating functions in semiparametric statistical models",
text = "S. Amari and M. Kawanabe (1996b), Estimating functions in semiparametric
statistical models, Estimating Functions, edited by V.P. Godambe (in press)",
url = "citeseer.ist.psu.edu/401523.html" }
Citations (may not include all citations):295 A new learning algorithm for blind signal separation - Amari, Cichocki et al. - 1996
101 Differential-Geometrical Method in Statistics (context) - Amari - 1985
75 Efficient and Adaptive Estimation for Semiparametric Models (context) - Bickel, Klaassen et al. - 1993
21 Information geometry of estimating functions in semiparametr.. - Amari, Kawanabe - 1996
18 Consistent estimates based on partially consistent observati.. (context) - Neyman, Scott - 1948
14 Estimating Functions (context) - Godambe - 1991
13 An optimum property of regular maximum likelihood estimation (context) - Godambe - 1960
13 The theory and applications of statistical inference functio.. (context) - Statist, McLeish et al. - 1988
8 Estimation in the presence of infinitely many nuisance param.. (context) - Amari, Kumon - 1988
8 Information and asymptotic efficiency in parametric-nonparam.. (context) - Begun, Hall et al. - 1983
7 Differential geometry of smooth families of probability dist.. (context) - Nagaoka, Amari - 1982
3 Dual connections on the Hilbert bundles of statistical model.. (context) - Amari - 1987
3 Asymptotic properties of conditional maximum likelihood esti.. (context) - Andersen - 1970
3 Using empirical partially Bayes inference for increased effi.. (context) - Lindsay - 1985
2 Conditional likelihood and unconditional optimum estimating .. (context) - Math, -- - 1976
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