Some remarks on sufficiency, invariance and conditional independence.
A. G. Nogales, J. A. Oyola (1995)
Extracta Mathematicae
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Displaying similar documents to “Two Kinds of Invariance of Full Conditional Probabilities”
Some remarks on sufficiency, invariance and conditional independence.
Statistical models strongly-invariant under the action of a group.
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.
Synthesis of probability transformers
J. Łąski (1976)
Applicationes Mathematicae
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Mielnik's Probability Spaces and Characterization of Inner Product Spaces
C. V. Stanojević (1973)
Recherche Coopérative sur Programme n°25
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Subjective conditional probability and coherence principles for handling partial information.
Romano Scozzafava (1996)
Mathware and Soft Computing
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An extended problem to Bertrand's paradox
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...
Coherence principles for handling qualitative and quantitative partial probabilistic assessments.
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.
Some counterexamples concerning sufficiency and invariance.
R. H. Berk, A. G. Nogales, J. A. Oyola (1995)
Extracta Mathematicae
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Weak cylindric probability algebras.
Rašković, M., Djordjević, R.S., Bradić, M. (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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Robust inference in probability under vague information.
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.
A probabilistic Proof of Bochner's Theorem on positive definite Functions
M. S. Bingham, K. R. Parthasarathy (1966-1967)
Publications mathématiques et informatique de Rennes
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Null events and stochastical independence
Giulianella Colleti, Romano Scozzafava (1998)
Kybernetika
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In this paper we point out the lack of the classical definitions of stochastical independence (particularly with respect to events of 0 and 1 probability) and then we propose a definition that agrees with all the classical ones when the probabilities of the relevant events are both different from 0 and 1, but that is able to focus the actual stochastical independence also in these extreme cases. Therefore this definition avoids inconsistencies such as the possibility that an event ...