Results 161 to 170 of about 464,986 (209)

ON SUFFICIENCY AND BLACKWELL SUFFICIENCY

Statistics & Risk Modeling, 1997
The paper starts by recalling a number of different definitions of sufficiency for a statistical experiment (\(\chi\), \(\mathcal A\), \(\mathcal P\)); then several theoretical results are provided, concerning relationships between different concepts.
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Are sufficient statistics sufficient

Journal of Statistical Computation and Simulation, 2000
A gambling example is presented in which the players use the Minimum Variance Unbiased Estimator to estimate a parameter while you use another estimator. Your winnings are significant. The properties of your estimator are discussed and its derivation given.
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On a Concept of Partial Sufficiency: L-Sufficiency

International Statistical Review / Revue Internationale de Statistique, 1984
Let (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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Local Sufficiency

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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Sufficiency

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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A NOTE ON PREDICTION SUFFICIENCY (ADEQUACY) AND SUFFICIENCY

Australian Journal of Statistics, 1980
SummaryLet(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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ON MARGINAL SUFFICIENCY

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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Sufficiency and conditionality

Biometrika, 1975
SUMMARY 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, 1976
Abstract 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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