2003
DOI: 10.1111/j.1751-5823.2003.tb00196.x
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Reflections on Fourteen Cryptic Issues Concerning the Nature of Statistical Inference*

Abstract: Summary The present paper provides the original formulation and a joint response of a group of statistically trained scientists to fourteen cryptic issues for discussion, which were handed out to the public by Professor Dr. D.R. Cox after his Bernoulli Lecture 1997 at Groningen University.

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Cited by 10 publications
(7 citation statements)
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References 124 publications
(120 reference statements)
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“…It was also used by the philosopher Carnap ( 1950Carnap ( , 1952 , but his over-abstract presentation led him to distinguish between frequential probability and logical probability-a distinction that is actually unwarranted in Jeffreys's approach. Despite many identical algebraic properties, it is necessary to distinguish between the different intrinsic meanings of the two terms (Kardaun et al 2003 ) . Both authors added the notion of entropy as a measure of the information available.…”
Section: Conclusion Of Part Imentioning
confidence: 99%
See 1 more Smart Citation
“…It was also used by the philosopher Carnap ( 1950Carnap ( , 1952 , but his over-abstract presentation led him to distinguish between frequential probability and logical probability-a distinction that is actually unwarranted in Jeffreys's approach. Despite many identical algebraic properties, it is necessary to distinguish between the different intrinsic meanings of the two terms (Kardaun et al 2003 ) . Both authors added the notion of entropy as a measure of the information available.…”
Section: Conclusion Of Part Imentioning
confidence: 99%
“…Bernardo (discussant of the paper by Kardaun et al 2003 ) had this to say about the issue: Bernardo (discussant of the paper by Kardaun et al 2003 ) had this to say about the issue:…”
Section: Information Was To Be Collected Not Only On All Aspects Of Pmentioning
confidence: 99%
“…Finally, it is worth mentioning that the approach in Section 3.7 substantially differs from the traditional maximum-likelihood motivation for the least squares loss already used by Gauss. We refer to Schölkopf and Smola (2002) for a brief introduction to the maximum-likelihood motivation and to Kardaun et al (2003) for a discussion on this motivation.…”
Section: Further Reading and Advanced Topicsmentioning
confidence: 99%
“…Cox 11 raised some deeper questions (14 in all) related to statistical inference, including the following two.…”
Section: Statistical Philosophymentioning
confidence: 99%
“…In fuzzy logic, artificial intelligence, mathematical sociology, and also in daily life, attempts are made to quantify uncertainty and related concepts such as ambiguity and discord. Some of these approaches are based on plausibility and belief measures rather than on probability measures (see Kardaun et al 11 …”
Section: Statistical Philosophymentioning
confidence: 99%