Using a suite of self-similar cosmological simulations, we measure the probability distribution functions (PDFs) real-space density, redshift-space and their geometric mean. We find that density PDF is well-described by function two parameters: $n_s$, spectral slope, $\sigma_L$, linear rms fluctuation. For mean real- densities, introduce third parameter, $s_L={\sqrt{\langle(dv^L_{\rm pec}/dr)^2...

Abstract We investigated the probability distributions of sunspot area and magnetic flux by using data from Royal Greenwich Observatory USAF/NOAA. constructed a sample 2995 regions with maximum-development areas ≥500 MSH (millionths solar hemisphere), covering 146.7 yr (1874–2020). The were fitted power-law distribution four two-parameter (tapered-power-law, gamma, lognormal, Weibull distributi...

We prove that the multivariate standard normal probability distribution function is concave for large argument values. The method of proof allows for the derivation of similar statements for other types of multivariate probability distribution functions too. The result has important application, e.g., in probabilistic constrained stochastic programming problems.

    In this research in order to frequency analysis of maximum daily rainfall in various climates of Iran the data of 40 synoptic rain gauges collected in 40 years period i.e., 1973 to 2012 were used. These stations are located in various climates of Iran according to De Martonne climatic classification. At first, input of data to HYFA package was performed. The mentioned package includes seven...

Electricity is one of the essential sources for daily basis activities. The continuous electricity supplied to customers main goals provider. Reliability aspects that focused more on planning power system especially in distribution network. performance reliability evaluated with three indices: average interruption frequency index, duration and customer index. These indices will only give inform...

We study the anomalous transport in systems of random walks (RW's) on comb-like lattices with fractal sidebranches, showing subdiffusion, and a system Brownian particles driven by shear along x-direction, superdiffusive behavior. In particular, we discuss whether scaling universality are present or not shapes particle distribution preferential direction (x-axis).

Under ideal conditions, the probability density function (PDF) of a random variable, such as sensor measurement, would be well known and amenable to computation communication tasks. However, this is often not case, so user looks for some other PDF that approximates true but intractable PDF. Conservativeness commonly sought property approximating PDF, especially in distributed or unstructured da...