Abstract
Different sensible principles have been considered in Statistics: likelihood, weak conditionality, weak sufficiency…Many papers have been writen on these topics, after the pioneer work by Birnbaum (1962). Berger and Wolpert (1984) is a good reference for the study of different principles and relations between them. These principles generally work on rather vague concepts: Evidence (Birnbaum (1962)), Inference patterns (Dawid (1977)),… We shall work on the somewhat more concrete concept of generalized estimator or inferences (Eaton (1982), De la Horra (1987)).
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References
Berger, J. O. and Wolpert, R. L., 1984, “The Likelihood Principle”, Lecture Notes, Vol. 6, Institute of Mathematical Statistics, Hayward, California.
Birnbaum, A., 1962, On the foundations of statistical inference , J. Amer. Statist. Assoc. 57, 269–306.
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De la Horra, J., 1987, Generalized estimators: A Bayesian decision-theoretic view , Statist. & Dec. (to appear).
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Gatsonis, C. A., 1984, “Deriving posterior distributions for a location parameter: A decision-theoretic approach”, Ann. Statist. 12, 958–970.
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© 1987 Plenum Press, New York
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de la Horra, J. (1987). Sufficiency Completeness Principle. In: Viertl, R. (eds) Probability and Bayesian Statistics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1885-9_27
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DOI: https://doi.org/10.1007/978-1-4613-1885-9_27
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