WaveletBased Entropy Measures to Characterize TwoDimensional Fractional Brownian Fields The aim of this work was to extend the results of Perez et al. (Physica A (2006), 365 (2), 282xe2x80x93288) to the twodimensional (2D) fractional Brownian field. In particular, we defined Shannon entropy using the wavelet spectrum from which the Hurst exponent is estimated by the regression of the logarithm of the square coefficients over the levels of resolutions. Using the same methodology. we also defined two other entropies in 2D: Tsallis and the Renyi entropies. A simulation study was performed for showing the ability of the method to characterize 2D (in this case,     xcexb1  2    ) selfsimilar processes.

On properties of a new decomposable entropy of DempsterShafer belief functions Abstract   We define entropy of belief functions in the DempsterShafer (DS) theory that satisfies a compound distributions property that is analogous to the property that characterizes Shannonu0027s definitions of entropy and conditional entropy for probability mass functions. None of the existing definitions of entropy for belief functions in the DS theory satisfy this property. We describe some important properties of our definition, and discuss its semantics as a measure of dissonance and not uncertainty. Finally, we compare our definition of entropy with some other definitions that are similar to ours in the sense that these definitions measure dissonance and not uncertainty.