This paper considers alternative methods of testing cointegration in fractionally integrated processes, using the bootstrap. The special feature of the fractional case is the dependence of the asymptotic null distributions of conventional statistics on the fractional integration parameter. Such tests are said to be asymptotically non-pivotal, and conventional asymptotic tests are therefore not ...

In this paper, we study different types of non-additive set multifunctions (such as: uniformly autocontinuous, null-additive, null-null-additive), presenting relationships among them and some of their properties regarding atoms and pseudo-atoms. We also study non-atomicity and non-pseudo-atomicity of regular null-additive set multifunctions defined on the Baire (Borel respectively) δ-ring of a ...

We study the finite distance boundary symmetry current algebra of most general first order theory 3D gravity. show that space quadratic generators contains diffeomorphisms but also a notion dual diffeomorphisms, which together form either double Witt or centerless ${\mathrm{BMS}}_{3}$ algebra. The relationship with usual asymptotic relies on duality between null and angular directions, is possi...

There is introduced the notion of σ-null-additive set function as a generalization of the classical measure. There are proved the relations to disjoint and chain variations. The general Lebesgue decomposition theorem is obtained. AMS Mathematics Subject Classification (2000): 28A25

In this paper we present some properties concerning non-atomicity of regular null-additive fuzzy set multifunctions. Key–words: fuzzy, null-additive, regular, atom, non-atomic.

Two-sample tests for multivariate and especially for non-Euclidean data are not fully explored. This paper presents a novel test based on a similarity graph constructed on the pooled observations from the two samples. It can be applied to multivariate data and non-Euclidean data as long as a dissimilarity measure on the sample space can be defined, which can usually be provided by domain expert...

We study numerically the fully nonlinear spherically-symmetric collapse of a selfgravitating, minimally-coupled, massless scalar field. Our numerical code is based on double-null coordinates and on free evolution of the metric functions and the scalar field. The numerical code is stable and second-order accurate. We use this code to study the late-time asymptotic behavior at fixed r (outside th...

The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to gauge theory. In this paper, we examine asymptotic structure form. Newman-Unti gauge, find generic solution space satisfying series expansion around null infinity. news function is chiral and can not lead mass loss formula. A class asymptotically flat complex ...