44 citations · 131 across the 16 of their papers we have counts for
17 papers
Entropies of the Poisson distribution as functions of intensity: "normal" and "anomalous" behavior
Dmitri Finkelshtein, Anatoliy Malyarenko, Yuliya Mishura +1
The paper extends the analysis of the entropies of the Poisson distribution with parameter . It demonstrates that the Tsallis and Sharma-Mittal entropies exhibit monotonic behav…
Properties of Shannon and Rényi entropies of the Poisson distribution as the functions of intensity parameter
Volodymyr Braiman, Anatoliy Malyarenko, Yuliya Mishura +1
We consider two types of entropy, namely, Shannon and Rényi entropies of the Poisson distribution, and establish their properties as the functions of intensity parameter. More prec…
Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index
Anatoliy Malyarenko, Yuliya Mishura, Kostiantyn Ralchenko +1
This paper is devoted to the study of the properties of entropy as a function of the Hurst index, which corresponds to the fractional Gaussian noise. Since the entropy of the Gauss…
Tensor- and spinor-valued random fields with applications to continuum physics and cosmology
Anatoliy Malyarenko, Martin Ostoja-Starzewski
In this paper, we review the history, current state-of-art, and physical applications of the spectral theory of two classes of random functions. One class consists of homogeneous a…
A deep look into the Dagum family of isotropic covariance functions
Tarik Faouzi, Emilio Porcu, Igor Kondrashuk +1
The Dagum family of isotropic covariance functions has two parameters that allow for decoupling of the fractal dimension and Hurst effect for Gaussian random fields that are statio…
Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous Spaces
Chunsheng Ma, Anatoliy Malyarenko
A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected two-point ho…