We discuss several uniform bounds on the remainder term in the Fourier inversion formula for increments of distribution functions. These bounds are illustrated by some discrete examples related to ...the binomial distribution.
Necessary and sufficient conditions for the validity of the central limit theorem for densities are considered with respect to the norms in Orlicz spaces. The obtained characterization unites several ...results due to Gnedenko and Kolmogorov (uniform local limit theorem), Prokhorov (convergence in total variation) and Barron (entropic central limit theorem).
Unsymmetrical dimethylhydrazine (UDMH, heptyl) and its derivatives are used in the rocket and space industry as components of rocket fuel. UDMH is a highly toxic compound exhibiting irritant, ...hepatotoxic, and neurotoxic properties. In this study, the toxic effect of heptyl on isolated rat heart and lymphatic vessels was demonstrated. Acute exposure to UDMH leads to vasoconstriction of the coronary vessels of the isolated heart and pronounced stimulation of isolated lymphangions starting from the concentration of 10
-4
M. The changes are dose-dependent. After exposure to UDMH in high concentrations (10
-2
M), the changes in the functional parameters became irreversible. The obtained results provide evidence for the organ-specific effect of UDMH on visceral muscle organs.
Entropy Power Inequality for the Rényi Entropy Bobkov, Sergey G.; Chistyakov, Gennadiy P.
IEEE transactions on information theory,
2015-Feb., 2015-2-00, 20150201, Volume:
61, Issue:
2
Journal Article
Peer reviewed
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.
We derive a general upper bound on the distance of the standard normal law to typical distributions in V. N. Sudakov’s theorem (in terms of the weighted total variation).
Space radiation interacting with electronic components of on-board computing or navigation unit can bring to it's malfunction. Using error tolerant electronic components is a key factor ensuring ...safety of Space missions. The Muller C-element is one of the main part of the asynchronous circuits and also can be found in synchronous ones. Being sequential by its nature, it is vulnerable to single event upsets. We propose three CMOS circuit implementations of a soft error tolerant Muller C-element, whose tolerance is achieved by using of the well-known DICE-principle and is proved by SPICE simulations.
We explore properties of the χ² and Rényi distances to the normal law and in particular propose necessary and sufficient conditions under which these distances tend to zero in the central limit ...theorem (with exact rates with respect to the increasing number of summands).
Как известно, применение цифровых антенных решеток (ЦАР) при создании радиосредств с электронным сканированием луча позволяет реализовать высокую скорость пространственновременной обработки сигналов, ...способствует увеличению количества получаемой информации о распределении источников излучения или отражения в окружающей среде, улучшению разрешающей способности, быстродействия, пропускной способности, дальности, помехозащищенности и других параметров и характеристик радиотехнических систем различного назначения. Приемо-передающий модуль (ППМ) является ключевым звеном ЦАР и в значительной степени определяет технические характеристики системы в целом. Поэтому разработка сообразного технического решения ППМ становится узловым этапом проектирования радиосистемы с ЦАР, который гарантирует успешность ее реализации. В статье рассмотрены оригинальная структура и техническое решение ППМ, кратко описаны режимы функционирования, параметры, конструкция и результаты численного моделирования теплового режима модуля. Разработанное устройство обеспечивает высокую энергетику, малый коэффициент шума, большой динамический диапазон, возможность быстрого псевдослучайного синхронного изменения параметров зондирующего сигнала (включая частоту, закон модуляции, длительность, период повторения, поляризацию). Приемо-передающий модуль предполагается использовать в качестве элемента ЦАР радиолокационных систем метрового диапазона.
We discuss an approach, based on the Brunn-Minkowski inequality, to isoperimetric and analytic inequalities for probability measures on Euclidean space with logarithmically concave densities. In ...particular, we show that such measures have positive isoperimetric constants in the sense of Cheeger and thus always share Poincare-type inequalities. We then describe those log-concave measures which satisfy isoperimetric inequalities of Gaussian type. The results are precised in dimension 1.
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