What do you think about the following normalization ?

                                                              
(q>0)


This is a possible normalization of the probability distributions for incomplete information theory. q is called incomplete parameter and equals unity when information is complete.

To understand why we have to introduce the above normalization of probability with
q different from unity, please see an introduction to incomplete information theory and also our recent publications.
Incomplete statistics
Let me know your comments
A clear physical signification can be given to the empirical parameter q (or \omega). You can find a detailed discussion here .
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