Results 81 to 90 of about 297 (132)
Conditional completeness is shown to provide a sufficient condition for maximal ancillarity. Using properties linking ancillarity and complete sufficient statistics, the new condition is shown to be more general than another sufficient condition given by Basu (1959).
Mouchart, Michel, Rolin, Jean-Marie
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Mixtures, embedding, and ancillarity
Canadian Journal of Statistics, 1985AbstractAncillary statistics, proposed by Fisher (1925), can be constructed by forming amixture model(Birnbaum 1962) or can be extracted or derived from atransformationâparameter model(Peisakoff 1951, Fraser 1961) or from the corresponding errorâbasedstructural model(Fraser 1968, 1979); these latter models involve an implicitmixturestructure.
Evans, M., Fraser, D. A. S., Monette, G.
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Ancillarity and optimal conditional tests
n testing statistical hypotheses, the ancillarity property can be used to obtain optimal tests when, without conditioning, optimal tests do not exist (Lehmann, 1986). Anyway, two counterexamples show that purpose is not always attainable. In this paper only parametric models for experiments will be considered.
Cominato, Federica
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Ancillarity Principle and a Statistical Paradox
Journal of the American Statistical Association, 1982Abstract Among the many reasons underlying the practice of randomization some of the main ones can be described as averaging out or elimination of the effects of nuisance parameters. It is already well known (Godambe 1966) that averaging over all the possible results of the adopted randomization is directly in conflict with the likelihood principle ...
V P Godambe
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Extensions of the concept of local ancillarity
Biometrika, 1981SUMMARY Cox (1980) introduced a notion of local ancillarity. In this paper, a qth order local ancillary variable is defined; the idea of local ancillarity for the multiparameter model with no nuisance parameters is developed for inference and third-order local ancillarity is examined in the single parameter model.
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On sufficiency and ancillarity in the presence of a nuisance parameter
Biometrika, 1980SUMMARY This paper discusses the definitions of ancillarity and sufficiency in the presence of a nuisance parameter given by Godambe (1976a). Illustrative examples are given and the relation to Fisher information discussed. In view of the properties of distribution functions which provide optimum estimating equations, Godambe (1976a) proposed ...
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