We solve stochastic differential equations involving the Malliavin derivative and the fractional Malliavin derivative by means of a chaos expansion on a general white noise space (Gaussian, Poissonian, fractional Gaussian and fractional Poissonian white noise space). There exist unitary mappings between the Gaussian and Poissonian white noise spaces, which can be applied in solving SDEs.

  Abstract   Background: Previous studies have indicated an unspecific correlation between noise   exposure and blood pressure disturbances. Blood pressure disturbances could be caused   by the environmental hazards such as noise exposure. The aim of this study is to analyze   whether there is a relationship between noise exposure and hypertension.   Methods: Atotal sample of 218 workers workin...

Given a transmitter that radiates an electromagnetic light field, we assume that the resulting field at the plane of the receiver aperture is log-normal with some coherence properties. Various representations of the field a r e discussed: aperture sampling, plane-wave decomposition, and Karhunen-Logve expansion. The statistical properties of the coefficients in these representations a r e inves...

Underwater noise classification is of great significance for identifying ships as well other vehicles. Moreover, it helpful in ensuring a marine habitat-friendly, noise-free ocean environment. But challenge we are facing the small-sized underwater samples. Because influenced by multiple sources, often difficult to determine and label which source or two sources dominant. At present, research so...