[PDF][PDF] Bibliography on stable distributions, processes and related topics

J Nolan - Technical Report, 2010 - edspace.american.edu
The following sections are a start on organizing references on stable distributions by topic. It
is far from complete. Starting on page 23 there is an extensive list of papers, most on stable …

Nonasymptotic Gaussian approximation for inference with stable noise

M Riabiz, T Ardeshiri, I Kontoyiannis… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The results of a series of theoretical studies are reported, examining the convergence rate
for different approximate representations of α-stable distributions. Although they play a key …

Simulated convergence rates with application to an intractable α-stable inference problem

M Riabiz, T Ardeshiri, I Kontoyiannis… - 2017 IEEE 7th …, 2017 - ieeexplore.ieee.org
We report the results of a series of numerical studies examining the convergence rate for
some approximate representations of α-stable distributions, which are a highly intractable …

Convergence results for tractable inference in α-stable stochastic processes

M Riabiz, T Ardeshiri, S Godsill - 2017 22nd International …, 2017 - ieeexplore.ieee.org
The α-stable distribution is highly intractable for inference because of the lack of a closed
form density function in the general case. However, it is well-established that the α-stable …

Sharp Gaussian Approximation Bounds for Linear Systems with -stable Noise

M Riabiz, T Ardeshiri, I Kontoyiannis… - … on Information Theory …, 2018 - ieeexplore.ieee.org
We report the results of several theoretical studies into the convergence rate for certain
random series representations of α-stable random variables, which are motivated by and …

Sharp Gaussian Approximation Bounds for Linear Systems with α-stable Noise

I Kontoyiannis, M Riabiz, T Ardeshiri, S Godsill - 2018 - repository.cam.ac.uk
We report the results of several theoretical studies into the convergence rate for certain
random series representations of α-stable random variables, which are motivated by and …