U-statistics of local sample moments under weak dependence

In this paper, we study the asymptotic distribution of some U-statistics whose entries are functions of empirical moments computed from non-overlapping consecutive blocks of an underlying weakly dependent process. The length of these blocks converges to infinity, and thus we consider U-statistics of triangular arrays. We establish asymptotic normality of such U-statistics. The results can be used to construct tests for changes of higher order moments

Forensic applications of micro-computed tomography: a systematic review

Purpose: The aim of this systematic review was to provide a comprehensive overview of micro-CT current applications in forensic pathology, anthropology, odontology, and neonatology. Methods: A bibliographic research on the electronic databases Pubmed and Scopus was conducted in the time frame 01/01/2001–31/12/2021 without any language restrictions and applying the following free-text search strategy: “(micro-computed tomography OR micro-CT) AND (forensic OR legal)”. The following inclusion criteria were used: (A) English language; (B) Application of micro-CT to biological and/or non-biological materials to address at least one forensic issue (e.g., age estimation, identification of post-mortem interval). The papers selected by three independent investigators have been then classified according to the investigated materials. Results: The bibliographic search provided 651 records, duplicates excluded. After screening for title and/or abstracts, according to criteria A and B, 157 full-text papers were evaluated for eligibility. Ninety-three papers, mostly (64) published between 2017 and 2021, were included; considering that two papers investigated several materials, an overall amount of 99 classifiable items was counted when referring to the materials investigated. It emerged that bones and cartilages (54.55%), followed by teeth (13.13%), were the most frequently analyzed materials. Moreover, micro-CT allowed the collection of structural, qualitative and/or quantitative information also for soft tissues, fetuses, insects, and foreign materials. Conclusion: Forensic applications of micro-CT progressively increased in the last 5 years with very promising results. According to this evidence, we might expect in the near future a shift of its use from research purposes to clinical forensic cases

Epitaxial hybrid pixel with triggerless readout in 130nm Cmos technology for the Micro Vertex Detector of the Panda experiment

The Micro Vertex Detector (MVD) is the innermost one of the Panda experiment, sitting around the beam pipe. The sensors are arranged in a barrel section with two pixel and two strip layers, and 6 forward disks with mixed pixel and microstrip sensors. For the pixel detector part, a hybrid solution with thinned epitaxial sensors was chosen. The main requirements for the readout include: a pixel size of 100 · 100 μm2, an input charge measurement with 12 b that implies an amplitude resolution of 1 part out of 4096, a working frequency of 155.5MHz, and a triggerless acquisition. The readout of the pixel detector is based on a front end chip, named Topix, that is under development. The Asic will provide the time position with a resolution of 6.43 ns and a charge measurement with a Time Over Threshold (TOT) technique; it features a matrix of 116 · 110 pixel cell channels and 311 Mb/s serializers as output ports. A 130nm Cmos technology has been used to reduce the circuit size and to provide tolerance for the total dose, besides techniques against single event upset have been implemented. A Topix prototype with the full cell has been completely tested for radiation damage before and after irradiation, and a new release has been submitted to build an hybrid assembly. The stringent requirements in terms of space for the MVD lead to an architecture based on optical links. The GigaBit Transceiver (GBT) from CERN has been chosen as the baseline solution for the interface to the data acquisition. Low mass cables based on aluminium on polyimide are under development for the interconnections

The Euler-Maruyama approximation for the absorption time of the CEV diffusion

A standard convergence analysis of the simulation schemes for the hitting times of diffusions typically requires non-degeneracy of their coefficients on the boundary, which excludes the possibility of absorption. In this paper we consider the CEV diffusion from the mathematical finance and show how a weakly consistent approximation for the absorption time can be constructed, using the Euler-Maruyama scheme