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On the existence of paths between points in high level excursion sets of Gaussian random fields
Gaussian process excursion set large deviations exceedence probabilities connected component optimal path
2012/4/17
The structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or not two or more poin...
Multi-level Monte Carlo for stochastically modeled chemical kinetic systems
computational complexity diffusion Gillespie Langevin next reaction method random time change tau-leaping variance
2011/9/1
Abstract: A chemical reaction network involves multiple reactions and species. The simplest stochastic models of such networks treat the system as a continuous time Markov chain with the state being t...
Behavior of an Almost Semicontinuous Poisson Process on a Markov Chain Upon Attainment of A Level
Semicontinuous Poisson Process Markov Chain Probability
2011/8/31
Abstract: We consider the almost semi-continuous processes defined on a finite Markov chain. The representation of the moment generating functions for the absolute maximum after achievement positive l...
Computationally Efficient Modulation Level Classification Based on Probability Distribution Distance Functions
Computationally Efficient Modulation Level Classification Probability Distribution Distance Functions
2011/2/25
We present a novel modulation level classification (MLC) method based on probability distribution distance functions.
The level crossing analysis of German stock market index (DAX) and daily oil price time series
German stock market index daily oil price time series
2010/4/27
The level crossing analysis of DAX and oil price time series are given. We determine the average frequency of positive-slope crossings, $\nu_{\alpha}^+$, where $T_{\alpha} =1/\nu_{\alpha}^+ $ is the a...
The Study of the Level Zero Crossing Time of a Semi-Markovian Random Walk With Delaying Screen
Semi-Markovian random walk reflecting and delaying screens
2010/3/5
In this study, a semi-Markovian random walk with delaying screen at (b > O and the first crossing time ('g1) of the zero level of this process are constructed. Furthermore, the distribution function w...