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- Flemming Topsøe
- IEEE Trans. Information Theory
- 2000

Inequalities which connect information divergence with other measures of discrimination or distance between probability distributions are used in information theory and its applications to… (More)

- Alexei A. Fedotov, Peter Harremoës, Flemming Topsøe
- IEEE Trans. Information Theory
- 2003

Let V and D denote, respectively, total variation and divergence. We study lower bounds of D with V fixed. The theoretically best (i.e. largest) lower bound determines a function L = L(V ), Vajda’s… (More)

- Flemming Topsøe
- Kybernetika
- 1979

Let (I, </) be a measurable space, referred to as the state space. The state space is discrete if I is countable and J consists of all subsets of I. By 77 we denote the set of countable… (More)

Three results dealing with probability distributions (p, q) over a two-element set are presented. The first two give bounds for the entropy function H(p, q) and are referred to as the logarithmic and… (More)

- Peter Harremoës, Flemming Topsøe
- IEEE Trans. Information Theory
- 2001

To any discrete probability distribution P we can associate its entropy H(P ) = − ∑ pi ln pi and its index of coincidence IC(P ) = ∑ pi . The main result of the paper is the determination of the… (More)

- Peter Harremoës, Flemming Topsøe
- Entropy
- 2001

In its modern formulation, the Maximum Entropy Principle was promoted by E.T. Jaynes, starting in the mid-fifties. The principle dictates that one should look for a distribution, consistent with… (More)

- Flemming Topsøe
- 2007

Information theory is becoming more and more important for many fields. This is true for engineeringand technology-based areas but also for more theoretically oriented sciences such as probability… (More)

- Flemming Topsøe
- 2007

Abstract The game-theoretical approach to non-extensive entropy measures of statistical physics is based on an abstract measure of complexity from which the entropy measure is derived in a natural… (More)

- Flemming Topsøe
- Entropy
- 2001

Basic concepts and results of that part of Information Theory which is often referred to as “Shannon Theory” are discussed with focus mainly on the discrete case. The paper is expository with some… (More)

- Boris Ryabko, Flemming Topsøe
- J. Complexity
- 2002

The problem of predicting a sequence x1, x2, ... generated by a discrete source with unknown statistics is considered. Each letter xt+1 is predicted using information on the word x1x2 · · · xt only.… (More)