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Sufficiency, ancillarity, and all that

, 2003
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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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Admissible Reductions: Sufficiency and Ancillarity

, 2019
Jean Pierre Florens, Michel Mouchart, Jean-Marie Rolin   +2 more
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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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On Sufficiency and Ancillarity

Sankhya A
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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 partial sufficiency and partial ancillarity

Scandinavian Actuarial Journal, 1967
Abstract In connection with a new model for two-way sample schemes with discrete observations introduced by Rasch [11] and [12], the idea of basing the statistical analysis entirely upon conditional distributions was suggested. The main feature of this method of analysis can be summarized as follows.
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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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Sufficiency and ancillarity in characterization problems

Journal of Statistical Planning and Inference, 2002
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Sufficiency, ancillarity and independence in invariant models

Journal of Statistical Planning and Inference, 1990
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