In this paper, a methodology for solving the ED (economic dispatch) problem considering the uncertainty of wind power generation and generators reliability is presented. The corresponding PDF (probability distribution function) of available wind power generation is discretized and introduced in...

<Para ID="Par1">In this paper we present a new linear regression technique for distributional symbolic variables, i.e., variables whose realizations can be histograms, empirical distributions or empirical estimates of parametric distributions. Such data are known as numerical modal data according to the...</para>

The framework of multifractal analysis (MFA) is distilled to the most sophisticated one. Within this transparent framework, it is shown that the harmonious representation of MFA utilizing two distinct Tsallis distribution functions, one for the tail part of probability density function (PDF) and...

The statistics of Kolmogorov–Sinai (KS) entropy for a coupled map lattice model are analyzed from the viewpoint of the thermodynamic formalism. It is shown that the fluctuation of KS entropy for a coupled map lattice model satisfies the large deviation statistics. Also, the probability density...

We experimentally investigate the scaling probability distributions of various intrachain distances of granular chains in two-dimensional static packing, the chain length of which ranges from N=64 to 2048. With the scaling method proposed in the polymer theory, the scaled data from granular...

Lyapunov exponent for the systems described by the complex Ginzburg–Landau equation is studied through its statistics. The probability distribution function for the finite-time-average Lyapunov exponent is given. Its functional form is the same as the systems described by the...

The system described by the Kuramoto–Sivashinsky equation (SKSE) is shown to have a short- and a long-time regimes. The probability distribution function (PDF) for the absolute value of the solution is subjected to different scaling laws in the two time regimes. The local expansion rate (LER)...

Liquid-phase sintering (LPS) is a consolidation process for metallic and ceramic powders. At given temperature conditions, the process occurs with constant amount of liquid phase. However, the evolution of solid-particle shape is observed, namely, the rounding of particles and the growth of big...

Liquid-phase sintering (LPS) is an industrial process used to consolidate materials composed of two different kinds of metallic and/or ceramic powders. At constant temperature, the amount of the present liquid-phase is constant. However, the shape of particles of solid phase changes over time....

By analyzing the synthetic seismicity generated by a simple spring–block system with asperities, the probability distribution of its order parameter is investigated. The spring–block system mimics the interaction between tectonic plates, whose asperities are given by sandpapers of different...