In this work, we study the statistical behavior of entanglement in quantum bipartite systems under Hilbert-Schmidt ensemble as assessed by standard measure - von Neumann entropy. Expressions first three exact cumulants entropy are known literature. The main contribution present work is formula corresponding fourth cumulant that controls tail distribution. As a key ingredient deriving result, ma...

The thermodynamic uncertainty relation is a prominent result in stochastic thermodynamics that provides bound on the fluctuations of any flux, also known as current, terms average rate entropy production. Such are quantified by second moment probability distribution current. role higher order standardized moments such skewness and kurtosis remains largely unexplored. We analyze associated with ...

Knowing only two high-order statistical moments of modulation symbols, often represented by the fourth moment called “kurtosis”, overestimation nonlinear interference (NLI) in a Gaussian noise (GN) model due to signaling assumption can be corrected through an enhanced GN (EGN) model. However, some modern optical communication systems where transmitted symbols are statistically correlated, such ...

the purpose of this study is to find the percentiles of fuzzy numbersand to demonstrate their applications, which include finding weightedmeans, dispersion indices, and the percentile intervals of fuzzy numbers. thecrisp approximations of fuzzy numbers introduced in this paper are new andinteresting for the comparison of fuzzy environments, such as a variety of economic,financial, and engineeri...

This paper revisits Levy sections theorem, which generalizes the central limit theorem to encompass autocorrelated variables. Levy sections theorem’s approach is extended to time series and applied to historical daily returns of selected dollar exchange rates. We explain the elevated kurtosis usually observed in such series by their volatilities. In particular, the high kurtosis of emerging mar...