hydrograph modeling and prediction of groundwater levels are the main concerns of most hydrogeological calculations and water resource management process. the present study is an application of sequential gaussian simulation (sgsim) method for predicting groundwater levels using recorded monthly data (180 months) related to 21 piezometers of behbahan aquifer, southwest of iran. to generate real...

This note finds results for the intrabeam scattering growth rates for a bi-gaussian distribution. The bi-gaussian distribution is interesting for studying the possibility of using electron cooling in RHIC. Experiments and computer studies indicate that in the presence of electron cooling, the beam distribution changes so that it developes a strong core and a long tail which is not described wel...

We define the statistical quadrature evolution (QE) method for multicarrier continuousvariable quantum key distribution (CVQKD). A multicarrier CVQKD protocol uses Gaussian subcarrier quantum continuous variables (CVs) for information transmission. The QE scheme utilizes the theory of mathematical statistics and statistical information processing. The QE model is based on the Gaussian quadratur...

A typical assumption is that ensemble data at each spatial location follows a Gaussian distribution. We investigate the consequences of that assumption when distributions are non-Gaussian. A sufficiently acceptable interpolation scheme needs to be devised for the interpolation of non-Gaussian distributions. We present two methods to calculate interpolations between two arbitrary distributions a...

This document provides proofs of the following: • The binomial distribution can be approximated with a Gaussian distribution at large values of N . • The arcsin square-root transform is the variance stabilising transform for the binomial distribution. • The Gaussian approximation for the binomial distribution is more accurate at smaller values of N after the variance stabilising transform has b...

The focus of this survey paper is on the distribution function FNβ(t) for the largest eigenvalue in the finite N Gaussian Orthogonal Ensemble (GOE, β = 1), the Gaussian Unitary Ensemble (GUE, β = 2), and the Gaussian Symplectic Ensemble (GSE, β = 4) in the edge scaling limit of N → ∞. These limiting distribution functions are expressible in terms of a particular Painlevé II function. Comparison...

The capacity region of the two-user Gaussian CDMA channel is shown to be achievable when the (stationary, ergodic) noise is not Gaussian, using a decoder matched to the Gaussian distribution. Similarly, the capacity of the exponential server timing channel is shown to be achievable when the service distribution is not exponential, using a decoder matched to the exponential distribution. The cod...