A New Multivariate Product Kernel Functions of the Beta Polynomial Family

Multivariate analysis of data is of wide applicability in data science especially in big data analytic due to the volume of concealed information to be analyzed. Accurate analysis of multivariate variables is pertinent because predictions from analyzed data are good statistical indicators for making helpful decisions economically and industrially. One of the statistical analytic tools for analyzing multidimensional observations is the kernel density estimator in data exploration and visualization. The functionality of the kernel depends on the kernel function and bandwidth which influences smoothness of estimates. Several kernel functions and bandwidth selectors exist in literature; however novel estimators are being introduced to handle complex circumstances. This paper introduces a new multivariate beta kernel functions whose derivation is contingent on the product techniques. The performances of the newly introduced and existing kernels are evaluated with a known objective function and the numerical results distinctly indicating that the introduced family transcended the traditional beta family

Higher-Order Hybrid Gaussian Kernel in Meshsize Boosting Algorithm

In this paper, we shall use higher-order hybrid Gaussian kernel in a meshsize boosting algorithm in kernel density estimation. Bias reduction is guaranteed in this scheme like other existing schemes but uses the higher-order hybrid Gaussian kernel instead of the regular fixed kernels. A numerical verification of this scheme is conducted and the results are compared with the regular fixed kernels.Keywords: Boosting, kernel density estimates, bias reduction, higher-order hybrid Gaussian kernel, meshsize, noise

A rare case of ventriculoperitoneal shunt co-infection with Brevibacterium and Corynebacterium minutissimum organisms

Ventriculoperitoneal (VP) shunt infections are associated with increased risk of morbidity and mortality from complications such as meningitis, ventriculitis, shunt malfunction and in some cases, recurrence of infection. Brevibacterium and Corynebacterium are gram positive organisms that are rarely implicated in VP shunt infections but are more commonly associated with colonization of dialysis and central venous catheters. Typical microbiological isolates in VP shunt infections include Staphylococcus aureus, Staphylococcus epidermidis and gram-negative rods. Here, we describe the case of a young woman who had VP shunt placement for over a decade without any history of infection, and now presented with new-onset VP shunt co-infection with Brevibacterium and Corynebacterium organisms

Construction of a nitrogen laser for plasma diagnostics

Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal

Evolution of spark plasma using nitrogen laser shadowgraphy system

Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle RichercheSIGLEITItal