6 papers
Density Functions and Random Number Generators of -Stable Distributions
Wael Tabbara, Sharafeddine Sharafeddine, Ahmad El-Hajj +2
Heavy-tailed distributions are increasingly found to better fit empirical data in engineering, finance, physics, network science, and related fields. Among them, -stable distri…
Heavy-Tailed Principal Component Analysis
Mario Sayde, Christopher Khater, Jihad Fahs +1
Principal Component Analysis (PCA) is a cornerstone of dimensionality reduction, yet its classical formulation relies critically on second-order moments and is therefore fragile in…
A Framework for Robust Lossy Compression of Heavy-Tailed Sources
Karim Ezzeddine, Jihad Fahs, Ibrahim Abou-Faycal
We study the rate-distortion problem for both scalar and vector memoryless heavy-tailed -stable sources (). Using a recently defined notion of ``strength" as a power…
On Linear Estimators for some Stable Vectors
Rayan Chouity, Charbel Hannoun, Jihad Fahs +1
We consider the estimation problem for jointly stable random variables. Under two specific dependency models: a linear transformation of two independent stable variables and a sub-…
THz-Band Near-Field RIS Channel Modeling for Linear Channel Estimation
Ahmad Dkhan, Simon Tarboush, Hadi Sarieddeen +2
Reconfigurable intelligent surface (RIS)-aided terahertz (THz)-band communications are promising enablers for future wireless networks. However, array densification at high frequen…
The Generalized Chernoff-Stein Lemma, Applications and Examples
Jihad Fahs, Ibrahim Abou Faycal, Ibrahim Issa
In this manuscript we define the notion of "-typicality" for both entropy and relative entropy, as well as a notion of -goodness and provide an extension to Stein's lemma f…