Generalized fiducial inference

By Todd Iverson. 2014

215 citations recorded by the source corpus.

Subfields: Analytical Chemistry, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/09e8192b3a68ab90e5d5f052d51dfee910de5dbf

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In Analytical Chemistry

In Statistics and Probability

Citations in the corpus

Fiducial prediction intervals (2012, methodology): “To this end, Hannig (2009b) derives the density of the fiducial distribution for an iid sample from an absolutely continuous distribution having a distribution function FhðxÞ and density f hðxÞ, where h1⁄4 ðy1, .”
Generalized fiducial inference for normal linear mixed models (2012, background): “A thorough introduction to generalized fiducial inference can be found in [28], but here we consider a simple example.”
Generalized fiducial inference via discretization (2013, methodology): “(3.5) As discussed in Hannig (2009), Section 4, Remark 1, there are three sources of non-uniqueness in the definition of the fiducial distribution: the choice of structural equation, the Borel paradox if Pξ0 (Q(A,U ⋆) 6= ∅) = 0, and the choice of a particular value in Q(A,U⋆) if it contains more…”
On Some Principles of Statistical Inference (2015, background): “…on the interplay between the roles of probability as representing physical haphazard variability, what Jeffreys (1961) called chances, and as encapsulating in some way, directly or indirectly, aspects of the uncertainty of knowledge, often referred to as epistemic, or epistemological, probability.”
Generalized Fiducial Inference: A Review and New Results (2016, methodology): “The conditions on the limiting data-generating equation were partially inspired by results for Inferential Models of Martin and Liu (2015a). The proof of Theorem 3 is in Appendix C.”
A note on p-values interpreted as plausibilities (2012, background): “The IM framework has some connections with existing approaches, such as fiducial (Hannig 2009, 2013; Hannig and Lee 2009), confidence distributions (Xie and Singh 2013; Xie et al. 2011), Dempster–Shafer theory (Dempster 2008; Shafer 1976, 2011), generalized p-values and confidence intervals (Chiang…”