Fiducial inference: Difference between revisions

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In 1978, J. G. Pederson wrote that "the fiducial argument has had very limited success and is now essentially dead".<ref>{{Cite journal|doi=10.2307/1402811|first=J. G. |last=Pederson |title=Fiducial Inference |journal=International Statistical Review |volume= 46 |year= 1978 |pages= 147–170 |mr=0514060 |issue= 2 |jstor=1402811}}</ref> Davison wrote "A few subsequent attempts have been made to resurrect fiducialism, but it now seems largely of historical importance, particularly in view of its restricted range of applicability when set alongside models of current interest."<ref>Davison, A. C. (2001) "''Biometrika'' Centenary: Theory and general methodology" ''[[Biometrika]]'' 2001 (page 12 in the republication edited by D. M. Titterton and [[David R. Cox]])</ref>
 
However, fiducial inference is still being studied and its principles appear valuable for some scientific applications.<ref>{{cite journal | last1 = Hannig | first1 = J | s2cid = 96445115 | year = 2009 | title = Generalized fiducial inference for wavelet regression | url = https://semanticscholar.org/paper/45cb9ffd4547637d8c74fd9ebbd8e6afac050a68| journal = [[Biometrika]] | volume = 96 | issue = 4| pages = 847–860 | doi=10.1093/biomet/asp050}}</ref><ref>{{cite journal | last1 = Hannig | first1 = J | year = 2009 | title = On generalized fiducial inference | url = | journal = Statistica Sinica | volume = 19 | issue = | pages = 491–544 }}</ref> In the mid-2010s, the [[psychometrics|psychometrician]] [[Yang Liu (psychometrician)|Yang Liu]] developed generalized fiducial inference for models in [[item response theory]] and demonstrated favorable results compared to frequentist and Bayesian approaches. Other current work in fiducial inference is ongoing under the name of [[confidence distribution]]s.
 
{{More footnotes|date=February 2010}}
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