Karbelkar, SN (1986) On the axiomatic approach to the maximum entropy principle of inference. In: Pramana, 26 (4). 301 -310.
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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.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to Indian Academy of Sciences.|
|Keywords:||Inductive inference;maximum entropy principle;prior distribution.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Physics|
|Date Deposited:||27 Jan 2010 11:59|
|Last Modified:||19 Sep 2010 05:40|
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