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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 journaldoi=10.2307/1402811first=J. G. last=Pederson title=Fiducial Inference journal=International Statistical Review volume= 46 year= 1978 pages= 147–170 mr=0514060 issue= 2 postscript=<!None> 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  year = 2009  title = Generalized fiducial inference for wavelet regression  url =  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 mid2010s, the [[psychometricspsychometrician]] [[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 footnotesdate=February 2010}}
*Williams, E. J. (1959) ''Regression Analysis'', Wiley {{LCCN59011815}}
*Young, G. A., Smith, R. L. (2005) ''Essentials of Statistical Inference'', CUP. {{ISBN0521839718}}
* {{cite journal  last1 = Fraser  first1 = D. A. S.  year = 1961  title = The fiducial method and invariance  url =  journal = Biometrika  volume = 48  issue =  pages = 261–80  doi=10.2307/2332749}}
* {{cite journal  last1 = Fraser  first1 = D. A. S.  year = 1961  title = On fiducial inference  url =  journal = Annals of Mathematical Statistics  volume = 32  issue =  pages = 661–676  doi=10.1214/aoms/1177704962}}
{{DEFAULTSORT:Fiducial Inference}}
