Proponemos una definición de "estabilidad" para un modelo bayesiano, respecto a cambios en la distribución básica (la distribución a priori se mantiene fija). Esta definición se discute e interpreta mediante el concepto de continuidad.
Se obtienen también condiciones suficientes para la estabilidad así definida y se proponen algunos ejemplos.
Finalmente se sugiere una generalización, con la distribución a priori también variable, y se obtiene un teorema para esta nueva situación....
In this paper, Hampel's concept of qualitative robustness (1968, 1971) is adapted to the problem of estimation by confidence regions. The basic idea is to consider the confidence regions as generalized estimates taking values in the space of compact sets endowed with the Hausdorff metric.
In section 3, the qualitative robustness is analyzed in five particular cases, which include confidence regions and tolerance intervals of common use. Section 4 is devoted to discussion and comments....
We deal with a subject in the interplay between nonparametric statistics and geometric measure theory. The measure
() of the boundary of a set ⊂ ℝ (with ≥ 2) can be formally defined, a simple limit, by the so-called Minkowski content. We study the estimation of
() from a sample of random points inside and outside . The sample design assumes that, for each sample point, we know (without error) whether or not that point belongs to . Under this design we suggest a...
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