Poisson white noiseThe first-passage time statistics in a bistable system subject to Poisson white noise is studied by using the generalized cell mapping method. Specifically, an approximate solution for the first-passage time statistics in a second-order bistable system is developed by analyzing the...
7,8,9], and Hida’s white noise space theory, see [5,10,11], to further study models for stochastic processes and their (generalized) derivatives, and in particular introduce a generalized stochastic process, which we call theμ-white noise, associated with theμ-Brownian motion. Among the...
Premature-born adults exhibit lasting white matter alterations as demonstrated by widespread reduction in fractional anisotropy (FA) based on diffusion-weighted imaging (DWI). FA reduction, however, is non-specific for microscopic underpinnings such as a
We study the stochastic cubic nonlinear wave equation (SNLW) with an additive noise on the three-dimensional torus\({\mathbb {T}}^3\). In particular, we prove local well-posedness of the (renormalized) SNLW when the noise is almost a space-time white noise. In recent years, the para...
Neighborhood physical environment and safety attenuated racial differences in total ICH scores by 5% and 6%, respectively, while discrimination attenuated these differences by 11%. Meaning Findings of this study suggest that racial differences in cardiovascular health are attenuated by varying experiences ...
Answer to: Define a white noise process and give an example. Explain the autocorrelation function and the partial autocorrelation function for an...
Fig. 2: Partial correlation statistics measures of Isodendritic core integrity and demographic variables and CSF biomarkers. Correlation statistics are corrected for age, sex, and education. Sex was dummy-coded as male (1) and female (0), so a positive correlation indicates greater values in male...
In the present paper( the)rst-passage time statistics in a bistable system driven by Poisson white noise is studied by a numerical approach based on the GCM method.First, the problem of,rst-passage in a second-order bistable system is intro-duced.Then, the GCM method is applied to obtain...
Meaning The dynamic white matter hyperintensities in patients with reversible cerebral vasoconstriction syndrome may be attributed to regional hypoperfusion and transmission of high pulsatile flow to microcirculation. Abstract Importance White matter hyperintense lesions (WMHs) are highly prevalent in patients wi...
In this paper a kind of new estimators of noise statistics and adaptive filters of states are put forward in the case that input and output noises of systems are correlative. 本文在系统输入和输出噪声相关的条件下,提出一种新的噪声统计估值器和自适应状态滤波器,应用表明了它的有效性。补充...