A current hypothesis proposes that fragile X mental retardation protein (FMRP), an RNA-binding translational regulator, acts downstream of glutamatergic transmission, via metabotropic glutamate receptor (mGluR) G(q)-dependent signaling, to modulate protein synthesis critical for trafficking ionotropic glutamate receptors (iGluRs) at synapses. However, direct evidence linking FMRP and mGluR func...

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 ...

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...

In this paper we quantify the impact of model mis-specification on the properties of parameter estimators applied to fractionally integrated processes. We demonstrate the asymptotic equivalence of four alternative parametric methods: frequency domain maximum likelihood, Whittle estimation, time domain maximum likelihood and conditional sum of squares. We show that all four estimators converge t...

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...

In this paper, we study (random) sequences of pseudo s-th powers, as introduced by Erdős and Rényi in 1960. In 1975, Goguel proved that such a sequence is almost surely not an asymptotic basis of order s. Our first result asserts that it is however almost surely a basis of order s + for any > 0. We then study the s-fold sumset sA = A+ · · · +A (s times) and in particular the minimal size of an ...