F44A. A question about F44

✍ Scribed by I.J. Good

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 44 KB
• Volume: 55
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)90067-1

✦ Synopsis

a contradiction. For by assuming the applicability of the conditionality principle, he assumes that only the probability distribution in the component experiment actually performed say El, is relevant for estimating the parameter, and that in E2 is not relevant. But by applying the sufficiency principle to the mixture experiment he assumes that the probability distribution in E2 is relevant for estimating the parameter.

Note also -and this is the view of Fisher, Jeffreys, Birnbaum -that there are not two different Sufficiency Principles but only one which is universally applicable. But the principle applies to that distribution on which consistently with the other assumptions in the theorem the estimate of the parameter is based.

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