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( R , S ) -information radius of type t and comparison of experiments

Inder Jeet TanejaLuis PardoD. Morales — 1991

Applications of Mathematics

Various information, divergence and distance measures have been used by researchers to compare experiments using classical approaches such as those of Blackwell, Bayesian ets. Blackwell's [1] idea of comparing two statistical experiments is based on the existence of stochastic transformations. Using this idea of Blackwell, as well as the classical bayesian approach, we have compared statistical experiments by considering unified scalar parametric generalizations of Jensen difference divergence measure....

Finding the principal points of a random variable

Emilio CarrizosaE. CondeA. CastañoD. Romero-Morales — 2001

RAIRO - Operations Research - Recherche Opérationnelle

The p -principal points of a random variable X with finite second moment are those p points in minimizing the expected squared distance from X to the closest point. Although the determination of principal points involves in general the resolution of a multiextremal optimization problem, existing procedures in the literature provide just a local optimum. In this paper we show that standard Global Optimization techniques can be applied.

Finding the principal points of a random variable

Emilio CarrizosaE. CondeA. CastañoD. Romero–Morales — 2010

RAIRO - Operations Research

The -principal points of a random variable with finite second moment are those points in minimizing the expected squared distance from to the closest point. Although the determination of principal points involves in general the resolution of a multiextremal optimization problem, existing procedures in the literature provide just a local optimum. In this paper we show that standard Global Optimization techniques can be applied.

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