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RichardWeiss (talk  contribs) (→Background: give a ref and hence rm cite needed re Fisher) 
RichardWeiss (talk  contribs) (→Background: add primary ref, ie the fisher paper) 

==Background==
The general approach of fiducial inference was proposed by [[Ronald Fisher]].<ref>Fisher, R. A. (1935) "The fiducial argument in statistical inference", ''Annals of Eugenics'', 8, 391–398.</ref><ref>[http://www.hss.cmu.edu/philosophy/seidenfeld/relating%20to%20Fisher/Fisher's%20Fiducial%20Argument%20and%20Bayes%20Theorem.pdf R. A. Fisher's Fiducial Argument and Bayes' Theorem by Teddy Seidenfeld]</ref> Here "fiducial" comes from the Latin for faith. Fiducial inference can be interpreted as an attempt to perform [[inverse probability]] without calling on [[prior probability distribution]]s.<ref>Quenouille (1958), Chapter 6</ref> Fiducial inference quickly attracted controversy and was never widely accepted.{{Citation neededdate=June 2011}} Indeed, counterexamples to the claims of Fisher for fiducial inference were soon published.{{Citation neededdate=June 2011}} These counterexamples cast doubt on the coherence of "fiducial inference" as a system of [[statistical inference]] or [[inductive logic]]. Other studies showed that, where the steps of fiducial inference are said to lead to "fiducial probabilities" (or "fiducial distributions"), these probabilities lack the property of additivity, and so cannot constitute a [[probability measure]].{{Citation neededdate=June 2011}}
The concept of fiducial inference can be outlined by comparing its treatment of the problem of [[interval estimation]] in relation to other modes of statistical inference.
