Consider the likelihood ratio test (LRT) statistics for independence of sub-vectors from a p-variate normal random vector. We are devoted to deriving limiting distributions LRT based on sample size n. It is well known that limit chi-square distribution when dimension data or number parameters fixed. In recent work by Qi et al. (Ann Inst Stat Math 71:911–946, 2019), it was shown asymptotically u...

This research work presents an understanding of structure-property relationship in uniaxially oriented multilayer polypropylene (PP) film/foams. Multilayer PP film/foams having 16 layers have been produced by using a unique coextrusion and multiplication technique. A post-uniaxial drawing process at a certain temperature has been carried out to orient the multilayer film/foams in extrusion dire...

Fibrous filters were fabricated using a novel melt co-extrusion and two-dimensional multiplication technology combined with a high pressure water jet delamination technique. The filters made from polypropylene (PP) / polyamide 6 (PA6) system exhibited micro to nano scale fibers having uniform fiber distribution and superior mechanical properties. Effects of film draw ratio upon co-extrusion on ...

Regenerated Bombyx mori silk fibers were spun from hexafluoro-isopropanol solution of silk fibroin sponge in methanol used as a coagulant solvent and then elongated in water. The stress-strain curves of the regenerated fibers changed dramatically depending on the draw ratio and the structure was studied by 13C CP/MAS NMR and X-ray diffraction methods. The patterns of 13C CP/MAS NMR spectra of t...

In order to research the multi-level structure of Lyocell fiber at different draw ratios and reveal limiting factors for preparing high strength fiber, paper reports on effect ratio including low drawing (1–5), (6–11) excessive (12–20) mechanical properties fiber. The was determined by wide-angle X-ray diffraction, small-angle scattering fibrillation test, result showed that, stage, breaking st...

We consider a drift-reversed version of the celebrated Ehrenfest urn process with N balls. For this ‘dual’ process, the boundaries are assumed to be absorbing and so the killing times at the boundaries play a central role. Three natural conditionings on the fixation/extinction events pertaining to this model are investigated. Some spectral informations on the conditioned Markoff chains are obta...

The ISIS-model allows a better understanding for managers and regional authorities of the ongoing change towards the information based “New Economy” and towards an information society. New policies have become possible for generating sustainable regional growth, sustainable in both, regional economic success and ecological health. The ISIS-model is build for evaluating policies for sustainabili...

Isis: Page 6 Two recent archaeological developments have brought Cleopatra into the news. They each concern tombs—her sister Arsinoe’s tomb and her own. A skull of a skeleton found early last century in ‘The Octagon’ a tomb in Ephesus in Turkey was recently reconstructed using measurements of the skeleton taken in the 1920s. The skull itself was lost in the 1940s. The reconstructed skull turned...