in this paper, we derive the exact analytical expressions for the shannon entropy of generalized orderstatistics from pareto-type and related distributions.

In this short note, we prove that the square root of quantum Jensen-Shannon divergence is a true metric on cone positive matrices, and hence in particular state space.

We develop two-channel sampling theory in the wavelet subspace V1 from the multi resolution analysis {Vj}j∈Z. Extending earlier results by G. G. Walter [11], W. Chen and S. Itoh [2] and Y. M. Hong et al [5] on the sampling theory in the wavelet or shift invariant spaces, we find a necessary and sufficient condition for two-channel sampling expansion formula to hold in V1. 1 Indroduction The cla...

We compare the elementary theories of Shannon information and Kolmogorov complexity, the extent to which they have a common purpose, and where they are fundamentally different. We discuss and relate the basic notions of both theories: Shannon entropy versus Kolmogorov complexity, the relation of both to universal coding, Shannon mutual information versus Kolmogorov (‘algorithmic’) mutual inform...

Claude Shannon died on 24 February 2001 of the after-effects of Alzheimer disease. With him, one of the greatest scientific minds of the century, and even of all times, disappears. His work exercised a deep influence, although often misknown, in the communication techniques hence in the world where we are living, as well as in the thoughts of the XX century. I shall try, after having evoked the...