Displaying similar documents to “A generalized residual information measure and its properties.”

Time weighted entropies

Jörg Schmeling (2000)

Colloquium Mathematicae

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For invertible transformations we introduce various notions of topological entropy. For compact invariant sets these notions are all the same and equal the usual topological entropy. We show that for non-invariant sets these notions are different. They can be used to detect the direction in time in which the system evolves to highest complexity.

A general class of entropy statistics

María Dolores Esteban (1997)

Applications of Mathematics

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To study the asymptotic properties of entropy estimates, we use a unified expression, called the H h , v ϕ 1 , ϕ 2 -entropy. Asymptotic distributions for these statistics are given in several cases when maximum likelihood estimators are considered, so they can be used to construct confidence intervals and to test statistical hypotheses based on one or more samples. These results can also be applied to multinomial populations.