Documentdetail
ID kaart
oai:arXiv.org:2408.06269
Onderwerp
Computer Science - Information The...Auteur
Fahs, Jihad Abou-Faycal, Ibrahim Issa, IbrahimCategorie
Computer Science
Jaar
2024
vermelding datum
25-12-2024
Beschrijving
Isotropic $\alpha$-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.
Given a sequence of $n$ observations, we are interested in characterizing the performance of Likelihood Ratio Tests where two hypotheses are plausible for the observed quantities: either isotropic Cauchy or isotropic Gaussian.
Under various setups, we show that the probability of error of such detectors is not always exponentially decaying with $n$ with the leading term in the exponent shown to be logarithmic instead and we determine the constants in that leading term.
Perhaps surprisingly, the optimal Bayesian probabilities of error are found to exhibit different asymptotic behaviors.
Fahs, Jihad,Abou-Faycal, Ibrahim,Issa, Ibrahim, 2024, Testing the Isotropic Cauchy Hypothesis
VertiSelector: Automatic Curriculum Learning for Wheeled Mobility on Vertically Challenging Terrain
sampling training learning vs
Comparison between Dual-Energy CT and Quantitative Susceptibility Mapping in Assessing Brain Iron Deposition in Parkinson Disease
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