Publications (18)
Sufficient Conditions for Existence of
Jihad Fahs, Ibrahim Abou-Faycal
In his technical report~\cite[sec. 6]{barrontech}, Barron states that the de Bruijn's identity for Gaussian perturbations holds for any RV having a finite variance. In this report,…
Statistical Intercell Interference Modeling for Capacity-Coverage Tradeoff Analysis in Downlink Cellular Networks
Naeem Akl, Jihad Fahs, Zaher Dawy
Interference shapes the interplay between capacity and coverage in cellular networks. However, interference is non-deterministic and depends on various system and channel parameter…
Capacity-Achieving Input Distribution in Per-Sample Zero-Dispersion Model of Optical Fiber
Jihad Fahs, Aslan Tchamkerten, Mansoor I. Yousefi
The per-sample zero-dispersion channel model of the optical fiber is considered. It is shown that capacity is uniquely achieved by an input probability distribution that has contin…
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-…
Testing the Isotropic Cauchy Hypothesis
Jihad Fahs, Ibrahim Abou-Faycal, Ibrahim Issa
Isotropic -stable distributions are central in the theory of heavy-tailed distributions and play a role similar to that of the Gaussian density among finite second-moment laws.…
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…