Abstract We examine geological crack patterns using the mean field theory of convex mosaics. assign pair $$\left({\overline{n } }^{*},{\overline{v }^{*}\right)$$ n ¯ ∗ , <mm...

let x1;x2;...;xn have a jointly multivariate exchangeable normal distribution. in this work we investigate another proof of the independence of x and s2 using order statistics. we also assume that (xi ; yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.

In this article, we introduce a new generalization of the Exponentiated Exponential distribution. Various structural mathematical properties are derived. Numerical analysis for mean, variance, skewness and kurtosis dispersion index performed. The density can be right skewed symmetric with "unimodal" "bimodal" shapes. hazard function "constant", "monotonically decreasing", " monotonically increa...

The analysis reported in this paper shows that the homogeneous sensitivity of both fundamental rib waveguide modes, HE00 and EH00, can slightly exceed optimized parent slab waveguide. most crucial difference behavior these two polarizations is mode maximum for strip waveguides. In contrast, EH00 either decrease monotonically or not-monotonically with increasing height behave like a characterist...

Multi diameter single fiber reflectance (MDSFR) spectroscopy is a non-invasive optical technique based on using multiple fibers of different diameters to determine both the reduced scattering coefficient (μs') and a parameter γ that is related to the angular distribution of scattering, where γ = (1-g2)/(1-g1) and g1 and g2 the first and second moment of the phase function, respectively. Here we...

Mixture of Experts (MoE) is a popular framework in the fields of statistics and machine learning for modeling heterogeneity in data for regression, classification and clustering. MoE for continuous data are usually based on the normal distribution. However, it is known that for data with asymmetric behavior, heavy tails and atypical observations, the use of the normal distribution is unsuitable...

Entropy is a thermodynamic property toward equilibrium based on the dissipation of energy. Cells constitute such a thermodynamic system, in which entropy production is both inevitable and highly significant. Although the experimental measurement of entropy production in a cell is very difficult, a new method to accomplish this in living cells is reported herein. Through heating the sample by al...