Geodesic
On Sprott's Example of an Ancillary Statistic
Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 205-207

Voir la notice de l'article provenant de la source Cambridge University Press

For statistical inference on the unknown parameter θ of a probability distribution with a known form of its density function f(x | θ), the late Sir R. A. Fisher suggests that inference should be based on the observed value of a sufficient statistic when it exists. In the absence of a sufficient statistic, fiducial probability statements about θ can still be made, according to Fisher, if we can find an ancillary statistic so that "the most likely estimate could be made exhaustive by means of the ancillary values" [1, p. 138]. 
Tan, Peter. On Sprott's Example of an Ancillary Statistic. Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 205-207. doi: 10.4153/CMB-1970-041-4
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[1] 1. Fisher, R. A., Statistical methods and scientific inference, Oliver and Boyd, Edinburgh (second edition), 1959. Google Scholar

[2] 2. Dempster, A. P., Elements of continuous multivariate analysis, Addison-Wesley, Reading, Mass., 1969. Google Scholar

[3] 3. Sprott, D. A., An example of an ancillary statistic and the combination of two samples by Bayes' Theorem, Ann. Math. Stat. 32 (1961), 616-618. Google Scholar

[4] 4. Fraser, D. A. S., The structure of inference, Wiley, New York, 1968. Google Scholar

[5] 5. Fraser, D. A. S., On sufficiency and conditional sufficiency, Sankhyā A 28 (1966), 145-150. Google Scholar

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