Exhaustivity, Completeness and Almost Invariance

• Autores: Jesús Montanero Fernández, Paloma Pérez Fernández, Agustín García Nogales, José Antonio Oyola Velasco
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 11, Nº. 2, 2002, págs. 405-411
• Idioma: inglés
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• Resumen

  • In this paper, the relationship between exhaustivity (or sufficiency in the sense of Blackwell) and invariance is studied. An analogous result of two classical theorems of Hall, Wijsman and Ghosh (1965) and Berk (1972) on the relationship between sufficiency and invariance is given making use of a concept introduced here under the name of bounded G-completeness; in particular, we get the same conclusion under the assumptions of stability and bounded completeness.