Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/1106
Title: | On the axiomatic approach to the maximum entropy principle of inference. |
Authors: | Karbelkar, S.N. |
Keywords: | Inductive inference Maximum entropy principle Prior distribution |
Issue Date: | Apr-1986 |
Publisher: | Indian Academy of Sciences, Bangalore, India. |
Citation: | Pramana, 1986, Vol. 26, p301-310. |
Abstract: | 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 functional& essentially of the form ∫dx [p(x)/g(x)]², for some real number s, to be used for inductive inference and the commonly used form - ∫dx p(x) In [p(x) / g (x)] is only a particular case. The role of the prior density g (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. |
URI: | http://hdl.handle.net/2289/1106 |
ISSN: | 0304-4289 |
Copyright: | Indian Academy of Sciences, Bangalore, India. |
Appears in Collections: | Research Papers (LAMP) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1986 Pramana V26 p301.pdf | 10p. | 450.27 kB | Adobe PDF | View/Open |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.