This article considers vector parameter estimators in statistical models generated by Lévy processes. An improved one-step estimator is presented which can be used for improving any other estimator. Combined numerical methods optimization problems are proposed. A software has been developed and a correspondent testing comparison have presented.

We examine the e ects of small white Gaussian noise perturbations on a harmonically forced Du ng oscillator. For speci c values of the parameters, the noise-free system admits two coexisting steady-state attractors. The presence of noise induces transitions from one attractor to the other, however small the noise intensity may be. As a rst step, the equation of motion is transformed into a syst...

in recent years noise has been well known as an environmental pollution. particularly its effects will be more serious in some environments including hospitals which patients need a calm and peaceful condition. this study aims to evaluate hospitals noise pollution level. this study is a cross-sectional study. noise measurements were made in all hospital wards in a workday and weekend from 8 to ...

Using the external noise plus training paradigm, we have consistently found that two independent mechanisms, stimulus enhancement and external noise exclusion, support perceptual learning in a range of tasks. Here, we show that re-weighting of stable early sensory representations through Hebbian learning (Petrov et al., 2005, 2006) can generate performance patterns that parallel a large range o...

A new representation of audio noise signals is proposed, based on symmetric -stable (S S) distributions in order to better model the outliers that exist in real signals. This representation addresses a shortcoming of the Gaussian model, namely, the fact that it is not well suited for describing signals with impulsive behavior. The -stable and Gaussian methods are used to model measured noise si...

Bourgain [Bou02] showed that any noise stable Boolean function f can be well-approximated by a junta. In this note we give an exponential sharpening of the parameters of Bourgain’s result under the additional assumption that f is a halfspace.

We discuss a class of one-dimensional maps, which possesses a globally attracting stable periodic orbit. Despite a strongly negative Lyapunov exponent, a small amount of noise can introduce fluctuations of the period length. It is shown that this is a reasonable model for the observed dynamics of a bubble formation experiment in a heated capillary embedded in boiling water.

Wireless communication devices in embedded computational platforms have become increasingly common. As these device become more compact, radio frequency interference (RFI) from other subsystems, such as clocks and buses, becomes more severe and degrades the performance of the communication systems. The interference from these components is impulsive in nature, therefore standard symbol detectio...