# metadata.dc.description[].value
Preprint enviat per a la seva publicació en una revista científica.

# metadata.dc.description.abstract[].value
In this paper the global behaviour of an estimator is studied in framework
of Intrinsic Analysis, (7). Two indices of performance of an estimator in a
bounded region are analyzed: the average of the intrinsic risk (the loss
function is the squared Rao distance) and the maximum risk.
The Riemannian volume, provided by the Fisher metric on the manifold
associated with the parametric model, allows us to take an average of
the intrinsic risk. Cramér-Rao type integral inequalities for the integrated
mean squared Rao distance of estimators are derived using variational methods,
extending the work of éencov, [3]. Additionally, lower bounds for the
maximum risk are also derived, by using integral expressions.

# metadata.dc.relation.isformatof[].value
Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.6]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica