Discussion: On Arguments Concerning Statistical Principles
英文摘要：
Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle" by Deborah G. Mayo [arXiv:1302.7021].
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Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"
In this discussion we demonstrate that fiducial distributions provide a natural example of an inference paradigm that does not obey Strong Likelihood Principle while still satisfying the Weak Conditionality Principle. [arXiv:1302.7021]
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Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"
The paper by Mayo claims to provide a new clarification and critique of Birnbaum's argument for showing that sufficiency and conditionality principles imply the likelihood principle. However, much of the arguments go back to arguments made thirty to forty years ago. Also, the main contention in the paper, that Birnbaum's arguments are not valid, seems to rest on a misunderstanding. [arXiv:1302.7021]
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Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"
Deborah Mayo claims to have refuted Birnbaum's argument that the Likelihood Principle is a logical consequence of the Sufficiency and Conditionality Principles. However, this claim fails because her interpretation of the Conditionality Principle is different from Birnbaum's. Birnbaum's proof cannot be so readily dismissed. [arXiv:1302.7021]
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Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle"
We discuss Birnbaum's result, its relevance to statistical reasoning, Mayo's objections and the result in [Electron. J. Statist. 7 (2013) 2645-2655] that the proof of this result doesn't establish what is commonly believed. [arXiv:1302.7021]
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