On the Foundations of Statistical Inference

By A. Birnbaum. 1962

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Citations in the corpus

Mere Renovation is Too Little Too Late: We Need to Rethink our Undergraduate Curriculum from the Ground Up (2015, background): “Decades before Gelfand and Smith, Savage (1954), Birnbaum (1962), De Finetti (1972), and others had argued rigorously that if you were not a Bayesian, you were incoherent.”
Nonparametric inference with generalized likelihood ratio tests (2007, background): “The likelihood principle appeared in literature as a term in 1962 (Barnard et al., 1962; Birnbaum, 1962), but the idea goes back to the works of R.A. Fisher in the 1920s (Fisher, 1922).”
Bayesian Methods in Conservation Biology (2000, background): “Savage (1962) Conservation Biology Volume 14, No. 5, October 2000 Wade Bayesian Methods in Conservation Biology 1315 has pointed out that the prior distribution needs to be non-informative only over the range at which the likelihood function is non-negligible; outside this range the prior is…”
Harold Jeffreys’s Theory of Probability Revisited (2008, background): “ime since (to borrow from the above quote which may sound itself somehow presumptuous) we stand respectfully at the feet of this giant of Bayesian Statistics. 1Among the \Bayesian classics", onlySavage (1954),DeGroot 1970) andBerger 1985) seem to get more citations thanJereys(1939,1948,1961), t”
Why P Values Are Not a Useful Measure of Evidence in Statistical Significance Testing (2008, background): “Or as Freeman (1993) says, echoing Birnbaum’s (1962) and A.”
Generalized Fiducial Inference: A Review and New Results (2016, background): “A straightforward calculation shows that the fiducial density (3) with (7) is the conditional distribution of Qs(U ) | A(U ) = a, the GFD based on S conditional on the observed ancillary A = a, see Birnbaum (1962) and Iyer and Patterson (2002).”
How Bayes factors change scientific practice (2016, background): “E-mail address: dienes@sussex.ac.uk. http://dx.doi.org/10.1016/j.jmp.2015.10.003 0022-2496/© 2015 Elsevier Inc.”
Calibrated Bayes (2006, background): “Birnbaum (1962) claimed to "prove" that under a well-specified model M, S + C = L; that is,”
POSTERIOR PREDICTIVE ASSESSMENT OF MODEL FITNESS VIA REALIZED DISCREPANCIES (1996, background): “In my opinion, only the full-blown Jeffreys-Savage (JS) theory of hypothesis testing, as in Jeffreys (1961), Savage (1962) and Hill (1993), can cope with such more demanding problems.”
Model-assisted estimation for complex surveys using penalised splines (2005, methodology): “Key Words: calibration, generalized regression estimation, nonparametric regression, restricted maximum likelihood.”
A practical solution to the pervasive problems ofp values (2007, background): “A famous example of the effect of hypothetical events on NHST was given by Pratt (1962) in his discussion of Birnbaum (1962).”