A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Shannon Entropy Estimation in ∞-Alphabets from Convergence Results: Studying Plug-In Estimators
2018
Entropy
This work addresses the problem of Shannon entropy estimation in countably infinite alphabets studying and adopting some recent convergence results of the entropy functional, which is known to be a discontinuous function in the space of probabilities in ∞-alphabets. Sufficient conditions for the convergence of the entropy are used in conjunction with some deviation inequalities (including scenarios with both finitely and infinitely supported assumptions on the target distribution). From this
doi:10.3390/e20060397
pmid:33265487
fatcat:npgt72cghvgcfasucgai7ioj7m