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Se considera el criterio R-ε en ambiente de incertidumbre y se consigue una caracterización de dicho criterio en las regiones {(a, ..., a) ∈ R / a ≤ ... ≤ a}, (siendo n el número de elementos del espacio paramétrico Θ) utilizando los axiomas de Milnor que verifica el R-ε y un axioma adicional de invariancia por transformaciones monótonas. Se comprueba además que el criterio queda caracterizado, por esos axiomas, en todo R, para n = 2 y n = 3, quedando abierto el problema en el caso general.
R-ε criterion is considered in a decision problem (Θ, D*, R). Some considerations are made for the case in which the parameter space Θ is finite. Finally the existence of a decision rule with the minimum R-ε risk is examined, when the risk set is closed from below and bounded.
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