Aplicación de las submedidas C a las probabilidades comparativas
In this paper the concept of submeasures C (comparative) on a field of subsets D is introduced. Some properties of these submeasures in relation to the problem of quantifying comparative probabilities (C.P.) in terms of these submeasures are considered. Also their relationships with Dobrakov's...
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Published in | Trabajos de estadística y de investigación operativa Vol. 32; no. 2; pp. 68 - 84 |
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Main Author | |
Format | Journal Article |
Language | Spanish |
Published |
Instituto de Investigación Operativa y Estadística
01.06.1981
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Online Access | Get full text |
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Summary: | In this paper the concept of submeasures C (comparative) on a field of subsets D is introduced. Some properties of these submeasures in relation to the problem of quantifying comparative probabilities (C.P.) in terms of these submeasures are considered. Also their relationships with Dobrakov's submeasures I is explored. In particular we study the conditions under which convergence of a sequence (An) in D subordinates convergence in (An, =) and quantitative representations of C.P. in terms of submeasures C (those satisfying Kolmogorov's axioms being a subclase of ours) Introducimos en este trabajo el concepto de submedida C (comparativa), sobre un álgebra de conjuntos D, estudiamos propiedades de estas submedidas que serán necesarias para la cuantificación de probabilidades comparativas (P.C.) y se relacionan con otro concepto introducido recientemente por Dobrakov, que es el de submedida I. Se estudian las condiciones bajo las que la convergencia de una sucesión (An) en D subordina la convergencia de (An, =) y la representación cuantitativa de P.C. mediante submedidas C, caracterizándose como subclase aquellas que satisfacen los axiomas de Kolmogorov |
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ISSN: | 0041-0241 |
DOI: | 10.1007/BF02888739 |