Limit theorems Courses and Certifications

Hausdorff Center for Mathematics

Limit Theorems for the Volumes of Small Codimensional Random Sections of Lpn-Balls

Explore central limit theorems for volumes of random sections in high-dimensional geometry, with insights on open questions and recent research developments.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Probability - The Science of Uncertainty and Data

34 reviews

Build foundational knowledge of data science with this introduction to probabilistic models, including random processes and the basic elements of statistical inference -- Part of the MITx MicroMasters program in Statistics and Data Science.

• edX
• 16 weeks, 10-14 hours a week
• On-Demand
• Free Online Course (Audit)

• Best of All Time

NPTEL;  IIT Madras

Probability Foundation for Electrical Engineers

Comprehensive exploration of probability theory for electrical engineers, covering fundamental concepts, random variables, expectation, and limit theorems with rigorous mathematical foundations.

• YouTube
• 1 day 14 hours
• On-Demand
• Free Online Course

A Basic Course in Real Analysis

Explore fundamental concepts of real analysis, including limits, continuity, sets, sequences, series, and theorems. Develop a strong foundation in mathematical reasoning and proof techniques.

• YouTube
• 1 day 7 hours
• On-Demand
• Free Online Course

statisticsmatt

Basic Limit Theorems

Explore fundamental limit theorems in probability and statistics, including convergence modes, central limit theorem, and law of large numbers, with practical examples and proofs.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Lambda-Coalescents Arising in a Population With Dormancy

Explore Lambda-coalescents in populations with dormancy, examining genealogy and multiple ancestral line mergers through a three-season model of spring awakening, summer reproduction, and winter dormancy.

• YouTube
• 39 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Limit Theorems in Topological Data Analysis

Explore limit theorems in topological data analysis, focusing on barcodes, persistence modules, and random persistence modules. Learn about convergence proofs and expectations for uniform distributions on compact submanifolds.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Takashi Owada - Limit Theorems for Topological Invariants of the Dynamic Multi-Parameter Simplicial Complex

Explore topological invariants in dynamic multi-parameter simplicial complexes, covering connectivity, probability, and limiting processes in applied algebraic topology.

• YouTube
• 28 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

On Characterizing Rare Events in Persistent Homology

Explore rare events in persistent homology, focusing on indecomposables in multi-parameter settings. Learn about large deviation principles and laws of large numbers in topological data analysis.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

International Mathematical Union

KPZ Limit Theorems

Explores KPZ universality in particle systems, growth models, and polymers, discussing limit theorems, integrable methods, and recent results on periodic domains.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

IIT Delhi;  NPTEL

Advanced Probability Theory

Explore probability theory, from axioms to distributions, generating functions, and limit theorems. Develop skills in analyzing random variables and their properties for advanced statistical applications.

• Swayam
• 12 weeks
• Finished
• Free Online Course