Related papers: How many distribution functions are there? Bracket…

This paper has been withdrawn as the result is not correct.

This submission is being withdrawn due to serious errors in the achievability proofs. The reviewers of the journal I had submitted to had found errors back in 2006. I had forgotten about this paper until I saw the CFP for a JSAC issue on…

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

In this paper an analytic expression is given for the bounds of the distribution function of the sum of dependent normally distributed random variables. Using the theory of copulas and the important Frechet bounds the dependence structure…

The paper has been withdrawn by the author because the result obtained has been reported earlier by other authors.

This paper has been withdrawn by the author due to error in equation (46).

This paper has been withdrawn.

This paper has been withdrawn by the authors, due to an accuracy error in the Maple and Fortran calculations which completely changed the results.

This paper has been withdrawn by the author due to errors.

withdrawn by the authors because of an error.

This paper has been withdrawn by the authors due to its publication

This paper has been withdrawn by the authors due to a coding error and a missed diagram. The calculation has been completely redone, with very different results, and with an additional author, and will be submitted to the arxiv shortly.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these entropy numbers in the uniform norm are obtained and applied…

This paper has been withdrawn by the author, due to an error in the inequality after the inequality (31).

This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.

This paper has been withdrawn by the authors, due a crucial error.

It is well known that the entropy $H(X)$ of a discrete random variable $X$ is always greater than or equal to the entropy $H(f(X))$ of a function $f$ of $X$, with equality if and only if $f$ is one-to-one. In this paper, we give tight…

This paper has been withdrawn by the author due to some errors.