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 function too. The result have important application, e.g., in probabilistic constrained stochastic programming problems.

The performance of a free-space optical (FSO) communications link suffers from the deleterious effects weather conditions and atmospheric turbulence. In order to better estimate reliability availability an FSO link, suitable distribution needs be employed. accuracy this model depends strongly on turbulence strength which causes scintillation effect. To end, variety probability density functions...

Drought indices are used to identify and monitor drought events. The standardized precipitation evapotranspiration index (SPEI) is a widely based on accumulated water balance. There is, however, no broad consensus which probability distribution the most appropriate for balances. This issue investigated Ethiopia using 125 meteorological stations spread across country. Based long-term series, sel...

Drought is ranked second in type of natural phenomena associated with billion dollars weather disaster during the past years. It estimated that EU countries number people affected by drought was increased 20% over last decades. widely recognized Standardized Precipitation Index (SPI) can effectively provide characteristics time and space. The paper questions standard approach to estimate SPI ba...

Axon diameter is an important neuroanatomical characteristic of the nervous system that alters in the course of neurological disorders such as multiple sclerosis. Axon diameters vary, even within a fiber bundle, and are not normally distributed. An accurate distribution function is therefore beneficial, either to describe axon diameters that are obtained from a direct measurement technique (e.g...

We study the probability distribution function (PDF) of the mass density in simulations of supersonic turbulence with properties appropriate for molecular clouds. For this study we use Athena, a new higher-order Godunov code. We find there are surprisingly similar relationships between the mean of the time-averaged PDF and the turbulent Mach number for driven hydrodynamic and strong-field MHD t...

existence of capacity drop phenomenon, as the difference between pre-queue and queue discharge flow rates, has been one of the controversial concepts of traffic engineering. several researches have focused on capacity drop existence and also its estimation issues. this paper aims to estimate capacity drop based not only on a comparison between breakdown and queue discharge flow rates, but also ...