On the domain of attraction for the lower tail in Wicksell's corpuscle problem

We consider the classical Wicksell corpuscle problem with spherical particles in R^n and investigate the shapes of lower tails of distributions of `sphere radii' in R^n and `sphere radii' in a k-dimensional section plane. We show in which way the domains of attraction are related to each other.Comment: 6 page

Normal Approximation of Kabanov–Skorohod Integrals on Poisson Spaces

We consider the normal approximation of Kabanov–Skorohod integrals on a general Poisson space. Our bounds are for the Wasserstein and the Kolmogorov distance and involve only difference operators of the integrand of the Kabanov–Skorohod integral. The proofs rely on the Malliavin–Stein method and, in particular, on multiple applications of integration by parts formulae. As examples, we study some linear statistics of point processes that can be constructed by Poisson embeddings and functionals related to Pareto optimal points of a Poisson process

Electromechanically tunable dielectric microwave devices

High-tunable low-loss microwave dielectric devices are designed by electromechanical alteration in the configuration of device components. Specifically, this device consists of dielectric and metallic parts with an air gap between them. The gap location provides the largest perturbation in the electromagnetic field and a mini-actuator controls the device. Through experiments conducted, we test and apply the high-tunable dielectric resonators and filters as well as wide-band low-loss phase shifters

Multivariate risks and depth-trimmed regions

We describe a general framework for measuring risks, where the risk measure takes values in an abstract cone. It is shown that this approach naturally includes the classical risk measures and set-valued risk measures and yields a natural definition of vector-valued risk measures. Several main constructions of risk measures are described in this abstract axiomatic framework. It is shown that the concept of depth-trimmed (or central) regions from the multivariate statistics is closely related to the definition of risk measures. In particular, the halfspace trimming corresponds to the Value-at-Risk, while the zonoid trimming yields the expected shortfall. In the abstract framework, it is shown how to establish a both-ways correspondence between risk measures and depth-trimmed regions. It is also demonstrated how the lattice structure of the space of risk values influences this relationship.Comment: 26 pages. Substantially revised version with a number of new results adde

Учет характеристик коммутаторов при анализе и синтезе разрядных цепей высоковольтных импульсных испытательных устройств

В работе рассмотрены вопросы анализа и синтеза разрядных цепей высоковольтных импульсных испытательных устройств с учетом нелинейности коммутатора. Приведены аналитические соотношения, учитывающие вольт-секундную характеристику, представленную спадающей экспоненциальной зависимостью.У роботі розглянуті питання аналізу та синтезу розрядних кіл високовольтних імпульсних випробувальних пристроїв з урахуванням нелінійності комутатора. Наведені аналітичні співвідношення, що враховують вольт-секундну характеристику, представлену спадаючою експонентною залежністю.In the work, problems of analysis and synthesis of discharge circuits of high-voltage pulse test devices are considered adjusted for nonlinearity of switchboards. Analytical relations taking into account a volt-second characteristic represented by a declining exponential dependence are presented