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Calibration diagnostics for point process models via the probability integral transform
Calibration diagnostics point process models probability integral transform
2013/6/14
We propose the use of the probability integral transform (PIT) for model validation in point process models. The simple PIT diagnostics assess the calibration of the model and can detect inconsistenci...
Robust Hydraulic Fracture Monitoring (HFM) of Multiple Time Overlapping Events Using a Generalized Discrete Radon Transform
Robust Hydraulic Fracture Monitoring (HFM) Multiple Time Overlapping Events aGeneralized Discrete Radon Transform
2013/6/14
In this work we propose a novel algorithm for multiple-event localization for Hydraulic Fracture Monitoring (HFM) through the exploitation of the sparsity of the observed seismic signal when represent...
A diffusion equation for the density of the ratio of Gaussian variables and the numerical inversion of Laplace transform
parabolic equations random matrices kernel estimation
2011/3/21
It is shown that the density of the ratio of two Gaussian random variables with the same variance satisfies a non stationary diffusion equation. Implications of this result for kernel density estimati...
Data Driven Computing by the Morphing Fast Fourier Transform Ensemble Kalman Filter in Epidemic Spread Simulations
Data Driven Computing Morphing Fast Fourier Transform Ensemble Kalman Filter Epidemic Spread Simulations
2010/3/11
The FFT EnKF data assimilation method is proposed and applied to a stochastic
cell simulation of an epidemic, based on the S-I-R spread model. The FFT EnKF
combines spatial statistics and ensemble f...
Positive-part moments via the Fourier-Laplace transform
positive-part moments characteristic functions Fourier transforms Fourier-Laplace transforms integral representations
2010/3/18
Integral expressions for positive-part moments EXp
+ (p > 0) of random variables X are presented, in terms of the Fourier-Laplace or
Fourier transforms of the distribution of X. A necessary and suff...
ON THE EWGODHC HHLBEWT TRANSFORM IN L OVER A VON NEUMANN ALGEBRA
Ergodic Hilbert transform von Neumann algebra bundle convergence
2009/9/18
In this note a noncommutative version of Jajte's theorem
on the existence of the ergodic Hilbert transform is given. As
a noncommutative counterpart of the classical almost everywhere convergence
t...
Spectral Analysis of Non-Stationary Processes Using the Fourier Transform
Spectral Analysis Non-Stationary Processes the Fourier Transform
2009/9/17
Spectral Analysis of Non-Stationary Processes Using the Fourier Transform。
Fixed Points of the Smoothing Transform：the Boundary Case
Fixed Points Smoothing Boundary Case
2009/4/8
Let $A=(A_1,A_2,A_3,ldots)$ be a random sequence of non-negative numbers that are ultimately zero with $E[sum A_i]=1$ and $E left[sum A_{i} log A_i right] leq 0$. The uniqueness of the non-negative fi...
Multiplication of free random variables and the S-transform：the case of vanishing mean
free random variable S-transform vanishing mean
2009/3/27
This note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right i...
Multiplication of free random variables and the S-transform: the case of vanishing mean
random variables probability measures S-transform
2009/3/23
This note extends Voiculescu's S-transform based analytical machinery for free multiplicative convolution to the case where the mean of the probability measures vanishes. We show that with the right i...