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cond-mat.stat-mech2017★ 5 cited
Entropy of random symbolic high-order bilinear Markov chains
S. S. Melnik, O. V. Usatenko
The main goal of this paper is to develop an estimate for the entropy of random stationary ergodic symbolic sequences with elements belonging to a finite alphabet. We present here…
cond-mat.stat-mech2015★ 8 cited
Entropy of finite random binary sequences with weak long-range correlations
S. S. Melnik, O. V. Usatenko
We study the N-step binary stationary ergodic Markov chain and analyze its differential entropy. Supposing that the correlations are weak we express the conditional probability fun…
cond-mat.stat-mech2013★ 3 cited
Bunches of Random Cross-correlated Sequences
A. A. Maystrenko, S. S. Melnik, G. M. Pritula +1
Statistical properties of random cross-correlated sequences constructed by the convolution method (likewise referred to as the Rice's or the inverse Fourier transformation) are exa…