A counterexample is given to a result of Perez which makes a statement about the convergence of a sequence of logarithms of Radon-Nikodym derivatives. The result, if true, would have been a generalization of the Shannon-McMillan theorem of information theory.
Publié le : 1973-04-14
Classification:
94-A15,
28-A65,
Shannon-McMillan theorem,
information theory,
Radon-Nikodym derivatives,
60F99
@article{1176996994,
author = {Kieffer, J. C.},
title = {A Counterexample to Perez's Generalization of the Shannon-McMillan Theorem},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 362-364},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996994}
}
Kieffer, J. C. A Counterexample to Perez's Generalization of the Shannon-McMillan Theorem. Ann. Probab., Tome 1 (1973) no. 5, pp. 362-364. http://gdmltest.u-ga.fr/item/1176996994/