Heavy-tailed distribution

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Related lectures (32)

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Rare Events and Extreme Modeling

Explores rare event modeling, challenges in estimating probabilities with limited data, and the application of extreme value theory in various fields.

Quantization of Probability Distributions

Covers quantization of probability distributions, statistical k-means clustering, mean estimation, robust clustering methods, and open research questions.

Exponential Family: Distributions and Regularity

Covers the exponential family of distributions and the Ising model, explaining magnetism through dipoles and spins.

Introduction to Distributions

Covers Green's representation formula, fundamental solutions, and distribution properties.

Cut-off Phenomenon: Proof Ideas

Explores proof ideas related to the cut-off phenomenon and its implications in random walks on hypercubes.

Generalization Error

Discusses mutual information, data processing inequality, and properties related to leakage in discrete systems.

Risk Analysis and Management: Basics I

Introduces the basics of risk analysis and management in civil engineering.

Distribution & Interpolation Spaces

Covers the concept of distributions with compact support and their interpolation spaces.

Levy Flights and Central Limit Theorem

Covers Levy flights, Central Limit Theorem, and Mesoscopic Master Equation with transition rates in an assurance system.

Signals & Systems I: Fourier Transformation and Distributions

Explores the Fourier transformation, Parseval relation, weak convergence, and generalized transformations in signals and systems.