A comprehensive description of the theory of Z's non-extensive maximum entropy (NME)
solution as an inductive inference technique for systems possessing a non-extensive 'long …

Non-standard thermostatistical formalisms derived from generalizations of the Boltzmann–
Gibbs entropy have attracted considerable attention recently. Among the various proposals …

The axiomatic structure of the κ-statistcal theory is proven. In addition to the first three
standard Khinchin–Shannon axioms of continuity, maximality, and expansibility, two further …

In this work, we introduce a generalized measure of cumulative residual entropy and study
its properties. We show that several existing measures of entropy, such as cumulative …

Entropy is useful in statistical problems as a measure of irreversibility, randomness, mixing,
dispersion, and number of microstates. However, there remains ambiguity over the precise …

This is a paper in the intersection of time series analysis and complexity theory that presents
new results on permutation complexity in general and permutation entropy in particular. In …

Even though molecules are fundamentally quantum entities, the concept of a molecule
retains certain classical attributes concerning its constituents. This includes the empirical …

The theory of Rényi's non-extensive maximum entropy solution (NME) is described in detail.
It is used as an inductive inference technique for heavy-tailed queues with a non-robust …

The four consistency axioms of the Z_a,b^′ s NME formalism of the stable M/G/1 queue is
proved for the first time in this study. More fundamentally, an effort is made to highlight the …

Several generalizations or extensions of the Boltzmann–Gibbs thermostatistics, based on
non-standard entropies, have been the focus of considerable research activity in recent …