Some remarks on sufficiency, invariance and conditional independence.
A. G. Nogales, J. A. Oyola (1995)
Extracta Mathematicae
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A. G. Nogales, J. A. Oyola (1995)
Extracta Mathematicae
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Agustín García Nogales (1990)
Qüestiió
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Some basic results about invariance are given using quotient σ-fields. A strong kind of invariance is considered. Under appropriate conditions we obtain a sufficient statistics for models with such an invariance property.
J. Łąski (1976)
Applicationes Mathematicae
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C. V. Stanojević (1973)
Recherche Coopérative sur Programme n°25
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Romano Scozzafava (1996)
Mathware and Soft Computing
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Mostafa K. Ardakani, Shaun S. Wulff (2014)
Discussiones Mathematicae Probability and Statistics
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Bertrand's paradox is a longstanding problem within the classical interpretation of probability theory. The solutions 1/2, 1/3, and 1/4 were proposed using three different approaches to model the problem. In this article, an extended problem, of which Bertrand's paradox is a special case, is proposed and solved. For the special case, it is shown that the corresponding solution is 1/3. Moreover, the reasons of inconsistency are discussed and a proper modeling approach is determined by...
Giulianella Coletti (1996)
Mathware and Soft Computing
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In this paper we present an overview of mathematical models for handling partial entailments and their extensions in a probabilistic frame.
R. H. Berk, A. G. Nogales, J. A. Oyola (1995)
Extracta Mathematicae
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Rašković, M., Djordjević, R.S., Bradić, M. (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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Giuliana Regoli (1996)
Mathware and Soft Computing
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Vague information can be represented as comparison of previsions or comparison of probabilities, and a robust analysis can be done, in order to make inference about some quantity of interest and to measure the imprecision of the answers. In particular, in some decision problems the answer can be unique.
M. S. Bingham, K. R. Parthasarathy (1966-1967)
Publications mathématiques et informatique de Rennes
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