Confidence and Likelihood *

By T. Schweder, Nils Lid Hjort. 2002

199 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c1f6f140238652d3f236c70d6191d09b3059c082

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In Artificial Intelligence

In Statistics and Probability

Citations in the corpus

An imprecise-probabilistic characterization of frequentist statistical inference (2021, background): “A so-called confidence distribution (e.g., Nadarajah et al. 2015; Schweder and Hjort 2002, 2016; Xie and Singh 2013) corresponds to a countably additive capacity Πx such that Πx{Cα(x)} = 1− α, for all α ∈ [0, 1] and all x.”
Confidence Distributions and a Unifying Framework for Meta-Analysis (2011, background): “• A new CD concept, under a purely frequentist inference framework, is defined by Schweder and Hjort (2002) and Singh, Xie, and Strawderman (2005).”
Confidence distribution (CD) -- distribution estimator of a parameter (2007, methodology): “Parts of Sections 2 and 3 are closely related to the recent paper of Schweder and Hjort [22], and also to Singh, Xie and Strawderman [25, 26].”
Generalized Fiducial Inference: A Review and New Results (2016, methodology): “…of this approach is fusion learning: its ability to combine information from disparate sources with deep implications for meta analysis (Schweder and Hjort 2002; Singh, Xie, and Strawderman 2005; Xie, Singh, and Strawderman 2011; Hannig and © American Statistical Association Xie 2012;…”
A Two-Step Approach for Transforming Continuous Variables to Normal: Implications and Recommendations for IS Research (2011, background): “Such bias should be mitigated as much as possible in statistical analyses [Schweder and Hjort, 2002] and is minimized as variable distributions approach normality.”
Combining information from independent sources through confidence distributions (2005, methodology): “There is renewed interest in CDs [Schweder and Hjort (2002)], partly because “statisticians will be asked to solve bigger and more complicated problems” [Efron (1998)] and the development of CDs might hold a key to “our Received May 2003; revised April 2004.”
The Bayesian New Statistics: Hypothesis testing, estimation, meta-analysis, and power analysis from a Bayesian perspective (2017, unknown): “Some analysts have suggested normalizing the p value curve (e.g., Schweder & Hjort, 2002; Singh, Xie, & Strawderman, 2007), but the meaning of such a distribution is remote and the result is still sensitive to stopping and testing intentions.”
Bayesian estimation supersedes the t test. (2013, methodology): “More sophisticated forms of the approach construct actual probability distributions over the parameter space, such that different areas under the distribution correspond to confidence levels (e.g., Schweder & Hjort, 2002; Singh, Xie, & Strawderman, 2007).”
Generalized fiducial inference for normal linear mixed models (2012, background): “, they expect repeated-sampling properties to approximately hold) due to the Bernstein–von Mises theorem [Le Cam (1986), van der Vaart (2007)], and so performing well in a frequentist sense has appeal.”