The Fisher–Shannon statistical measure of complexity is analyzed for a continuous manifold of quantum observables. It is shown that evaluating this measure only in the configuration or in the momentum spaces does not provide an adequate characterization of the complexity of some quantum...

We use Tsallis’ information measure and the recently advanced “escort-Tsallis” one in order to investigate the stochastic resonance (SR) phenomenon. In particular, on the basis of these generalized information measures (GIM), both characterized by a non-extensivity parameter q, we study...

Using ARIMA models and entropy, the dynamic evolution of several functions of aggregate income and other attributes of well-being is analyzed for statistical "similarity" in order to determine potentially distinct dimensions in multidimensional analysis of welfare and quality of life in the US....

This paper analyzes Austrian and euro area opinion polls to assess the Austrian public’s views about the single currency five years after the introduction of euro cash. The analysis focuses on the following questions: How are Austrians managing with the euro now? How do Austrians assess the...

The concept of reversed relevation transform was introduced by Di Crescenzo and Toomaj (2015). In this article, we study important reliability properties of the reversed relevation transform under the proportional reversed hazards assumption. The results of research on information measures are...

We study the Markov property of processes described by generalized Fokker–Planck equations that are nonlinear with respect to probability densities such as mean field Fokker–Planck equations and Fokker–Planck equations related to generalized thermostatistics. We show that their transient...

Maximum entropy principle does not seem to distinguish between the use of Tsallis and Renyi entropies as either of them may be used to derive similar kind of q-exponential distributions. In this paper, we address the question whether the Renyi entropy is equally suitable to describe those...

General relations are found between the measure of the uniformity of distributions on the phase space and the first moments and correlations of extensive variables for systems close to thermal equilibrium. The role played by the parameter of the Renyi entropy for the analysis of their...