Title :
A relation between Kolmogorov-Prokhorov´s condition and Ohya´s fractal dimensions
Author_Institution :
Dept. of Inf. Sci., Shonan Inst. of Technol., Kanagawa, Japan
fDate :
9/1/1992 12:00:00 AM
Abstract :
A computational method giving upper bounds of ∈-entropy of stochastic processes satisfying Kolmogorov-Prokhorov´s condition is studied, in terms of Shannon´s entropy of the probability measures on C[0,1] induced by these processes. Moreover, this method and Ohya´s fractal dimensions are applied to investigating the asymptotic behavior of ∈-entropy of such processes
Keywords :
entropy; fractals; information theory; probability; stochastic processes; ∈-entropy; Kolmogorov-Prokhorov´s condition; Ohya´s fractal dimensions; Shannon´s entropy; asymptotic behavior; information theory; probability measures; stochastic processes; upper bounds; Entropy; Extraterrestrial measurements; Fractals; Linear code; Probability density function; Quantum mechanics; Random variables; Stochastic processes; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
