Circular Complex Random VectorNon-circular Complex Random VectorCircular/Non-circular Quadratic FormsCircular/Non-circular Complex-valued Linear ModelAbsolutely Continuous non-singular complex elliptically symmetric distributions (referred to as the nonsingular CES distributions) have been extensively studied in...
We say that a real random variable X (or its distribution) is subgaussian with parameter s if for all t∈R, the (scaled) moment-generating function satisfiesFootnote 1 E[exp(2πtX)]≤(1+negl(λ))⋅exp(πs2t2). More generally, we say that a random matrix (over vector) ...
These algorithms, however, have been examined only under the complex circular Gaussian assumption. The interest in these algorithms stems from a large number of applications, including mobile communications systems. In this application,...年份: 2017 ...
circular flattened Gaussian beamsvector angular spectrum representationstationary phaseenergy flux distributions/ A4225B Optical propagation, transmission and absorptionBy means of the method of vector angular spectrum representation and the mathematical techniques, the analytically vectorial structure of the ...
Vectorial Structure of the Far-held of a Cylindrical Vector Laguerre-Gaussian Beam Diffracted at a Circular Aperture Lasers in Engineering (Old City Publishing)ZHOU, G.-Q.
Introduction Statistically-trained readers of this blog will be very familiar with the Central Limit Theorem, which describes the asymptotic sampling distribution of the mean of a random vector composed of IID variables. Some of the most interesting rece
Mathematics and Statistics of circular values is very tricky and error prone, both for simple operations such as addition and subtraction, and for more complex operators such as calculating average and median, estimations and interpolations.
Gaussian process modelling was found to work well at approximating Sm M4,5 XMCD and XAS spectra with complex spectral shapes. To validate the method, we applied it to the Fe and Co L2,3 XMCD and XAS spectra of FeCo alloy. Those spectra were measured by total electron yield method. Measure...
[ 17 ]. to state their result, we need the following definition. definition 1 a complex random variable x with values on the unit disk \(\mathbb {d}\) is \(\theta _\nu \) -distributed ( \(\nu >1\) ) if $$\begin{aligned} \mathbb {e}\left[ f(x)\right] = \frac{\nu -...
Figure 3 shows examples of maximal-t distribution and the fitted GEV distribution under three different conditions: (1) normally distributed random data with 250 probes; (2) slightly skewed and heavy-tailed data with 400 probes; and (3) severely skewed and heavy-tailed data with 550 probes. ...