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Sufficiency, ancillarity, and all that [PDF]

, 2003
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On M-ancillarity

Biometrika, 1973
Eine parametrische Familie von Wahrscheinlichkeitsmaßen auf einer endlichen Menge - \(\mathfrak U\) heist universal, wenn für jeden Punkt \(u\in\mathfrak U\) ein Wert des Parameters \(u\) existiert, so daß für die Wahrscheinlichkeitsfunktion \(p(u,\omega)\) \(p(u,\omega)\geq p(\tilde u,\omega)\) \((\tilde u\in\mathfrak U)\) gilt.
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ANCILLARITY AND MINIMAL SUFFICIENCY

Australian Journal of Statistics, 1983
SummaryA discussion of ancillarity in multinomial distributions provides the context for an example which queries the priority of the Sufficiency Principle.
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Logic of Inferential Separation. Ancillarity and Sufficiency [PDF]

Wiley Series in Probability and Statistics, 2014
O Barndorff-Nielsen
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Successive improvement of the order of ancillarity

Biometrika, 1986
SUMMARY It is shown by an argument similar to one of Welch (1947) that it is, under usual regularity conditions, in general possible to improve the order of ancillarity successively. This means that when an asymptotic ancillary has been constructed, such that its distribution is independent of the parameter apart from terms of order O(n- k), then a new
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Extensions of the Concept of Local Ancillarity

Biometrika, 1981
SUMMARY 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

Sankhya A
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Godambe's paradox and the ancillarity principle

Statistics & Probability Letters, 1987
In this paper two types of statistical inference are defined, for only one of which Godambe's ancillarity principle [\textit{V. P. Godambe}, J. Am. Stat. Assoc. 77, 931-933 (1982; Zbl 0512.62008)] is seen to hold, although Godambe's mode of inference exhibits a high frequency performance.
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On information and ancillarity in the presence of a nuisance parameter

Biometrika, 1983
This paper discusses ancillarity, in the presence of a nuisance parameter. For exponential distribution families, some equivalent properties regarding ancillarity are found and discussed.
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Geometrical Theory of Asymptotic Ancillarity and Conditional Inference

Biometrika, 1982
SUMMARY Differential geometry is applied to the problems of defining higher-order asymptotic ancillarity and of obtaining the asymptotic conditional distribution of an efficient estimator in multiparameter curved exponential families. It is shown that a fundamental role is played in the asymptotic theory of estimation by a one-parameter family of ...
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