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On a Concept of Partial Sufficiency: L-Sufficiency
International Statistical Review / Revue Internationale de Statistique, 1984Let (X,\(\Omega\),f(x;\(\omega)\)) be a parametric statistical model and consider a mapping \(\lambda\) :\(\Omega\) \(\to \Lambda \equiv \lambda (\Omega)\). In the paper a definition of partial sufficiency (''L- sufficiency'') with respect to \(\lambda\) (\(\omega)\) is introduced as follows: t(x) is L-sufficient if and only if \(t(x_ 0)=t(x_ 1 ...
M. Rémon, M. Remon
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Biometrika, 1984
Let \(Z_ 1,Z_ 2,..\). be independent with distribution depending on an unknown real parameter \(\vartheta\), and let X be a p-variate statistic depending on \(Z_ 1,...,Z_ n\). Write L(X,\(\vartheta)\) for the distribution of X when \(\vartheta\) is the parameter.
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Let \(Z_ 1,Z_ 2,..\). be independent with distribution depending on an unknown real parameter \(\vartheta\), and let X be a p-variate statistic depending on \(Z_ 1,...,Z_ n\). Write L(X,\(\vartheta)\) for the distribution of X when \(\vartheta\) is the parameter.
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The concept of Consumption Corridors (CC) provides a framework for sustainable consumption governance. It suggests achieving sustainability by developing and implementing corridors of consumption, defined by consumption minima and maxima. The lower boundaries are meant to allow every individual to satisfy their needs, and thus to live a life they value
Min, J., Zimm, C.
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Min, J., Zimm, C.
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A NOTE ON PREDICTION SUFFICIENCY (ADEQUACY) AND SUFFICIENCY
Australian Journal of Statistics, 1980SummaryLet(X, A) be a measurable space and P a family of probability measures on A. Let B and C be sub s̀‐algebras of A and B0 a sub s̀‐algebra of B. It is shown that if B0 is prediction sufficient (adequate) for B with respect to C and P, and Y is sufficient for B0vC with respect to P then Y is sufficient for BvC with respect to P; that if P is ...
Akahira, Masafumi, Takeuchi, Kei
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Statistics & Risk Modeling, 1986
Given a family P of probability measures on some \(\sigma\)-field A, and given two sub-\(\sigma\)-fields \(A_ 0\), \(A_ 1\) of A, \(A_ 0\) is called marginally sufficient for P over \(A_ 1\) if for any element B of \(A_ 1\) there exists a conditional expectation of \(1_ B\), given \(A_ 0\), which is independent of the particular probability measure in ...
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Given a family P of probability measures on some \(\sigma\)-field A, and given two sub-\(\sigma\)-fields \(A_ 0\), \(A_ 1\) of A, \(A_ 0\) is called marginally sufficient for P over \(A_ 1\) if for any element B of \(A_ 1\) there exists a conditional expectation of \(1_ B\), given \(A_ 0\), which is independent of the particular probability measure in ...
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Sufficiency and conditionality
Biometrika, 1975SUMMARY Ancillary statistics are divided into two logically distinct types: those determined by the experimental design and those determined by the mathematical modelling of the problem. It is pointed out that, in the class of inference problems where our purpose is to gain information or insight into the nature of a chance set-up, a weakened ...
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Sufficiency, Minimal Sufficiency, and the Lack Thereof
The American Statistician, 1976Abstract This paper presents at an elementary level a unified presentation of concepts related to sufficiency and minimal sufficiency. Extensively discussed are techniques for showing in a particular statistical model that a given statistic is not sufficient or that a given sufficient statistic is not minimal.
Allan Sampson, Bruce Spencer
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Perspectives on Psychological Science, 2009
Psychology would be improved if researchers stopped using complicated designs, procedures, and statistical analyses for the sole reason that they are able to do so. The present article reviews some of the classic studies in psychology, all of which are breathtakingly simple.
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Psychology would be improved if researchers stopped using complicated designs, procedures, and statistical analyses for the sole reason that they are able to do so. The present article reviews some of the classic studies in psychology, all of which are breathtakingly simple.
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Archives of Environmental & Occupational Health, 2014
Panels convened to review evidence on an issue often (perhaps, usually) face the problem of what to do and what to say when the body of evidence is deemed insufficient.
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Panels convened to review evidence on an issue often (perhaps, usually) face the problem of what to do and what to say when the body of evidence is deemed insufficient.
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Sufficient Conditions for Inessentiality
Econometrica, 1993Summary: Consider a sequence economy in which small agents trade event-contingent claims to a single physical good. The agents have uncommon priors, state- contingent utility functions, and asymmetric information in every period. The claims traded vary from period to period.
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