A novel three-dimensional elliptical-shaped Fresnel lens (ESFL) analytical model is presented to evaluate and maximize the solar energy concentration of Fresnel-lens-based concentrators. AutoCAD, Zemax Ansys software were used for ESFL design, performance evaluation temperature calculation, respectively. Contrary previous modeling processes, based on edge-ray principle with an acceptance half-a...

We propose a new class of goodness-of-fit tests for the inverse Gaussian distribution. The proposed are weighted $L^2$-type depending on tuning parameter. develop asymptotic theory under null hypothesis and broad alternative distributions. These results used to show that parametric bootstrap procedure, which we employ implement test, is asymptotically valid whole test procedure consistent. A co...

In this paper we derive generalized formulas for three types of angular energy distributions: a Gaussian angle distribution, the angular energy distribution arising from a Gaussian spatial distribution, and a uniform angular distribution. These generalized equations are parameterized by dσ where d is the distance between antennas and σ is the standard deviation of the angular energy distributio...

The bremsstrahlung energy loss distribution of electrons propagating in matter is highly non Gaussian. Because the Kalman filter relies solely on Gaussian probability density functions, it might not be an optimal reconstruction algorithm for electron tracks. A Gaussian-sum filter (GSF) algorithm for electron track reconstruction in the CMS tracker has therefore been developed. The basic idea is...

Abstract. We study the fluctuations of eigenvalues from a class of Wigner random matrices that generalize the Gaussian orthogonal ensemble. We begin by considering an n × n matrix from the Gaussian orthogonal ensemble (GOE) or Gaussian symplectic ensemble (GSE) and let xk denote eigenvalue number k. Under the condition that both k and n − k tend to infinity as n → ∞, we show that xk is normally...