On the axiomatic approach to the maximum entropy principle of inference
Data(s) |
01/04/1986
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Resumo |
Recent axiomatic derivations of the maximum entropy principle from consistency conditions are critically examined. We show that proper application of consistency conditions alone allows a wider class of functionals, essentially of the form ∝ dx p(x)[p(x)/g(x)] s , for some real numbers, to be used for inductive inference and the commonly used form − ∝ dx p(x)ln[p(x)/g(x)] is only a particular case. The role of the prior densityg(x) is clarified. It is possible to regard it as a geometric factor, describing the coordinate system used and it does not represent information of the same kind as obtained by measurements on the system in the form of expectation values. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/22158/1/fulltext.pdf Karbelkar, SN (1986) On the axiomatic approach to the maximum entropy principle of inference. In: Pramana, 26 (4). 301 -310. |
Publicador |
Indian Academy of Sciences |
Relação |
http://www.springerlink.com/content/j93n1q7r441u5611/ http://eprints.iisc.ernet.in/22158/ |
Palavras-Chave | #Physics |
Tipo |
Journal Article PeerReviewed |