Probability Theory Courses and Certifications

Understanding Clinical Research: Behind the Statistics

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If you’ve ever skipped over`the results section of a medical paper because terms like “confidence interval” or “p-value” go over your head, then you’re in the right place.

• Coursera
• 1 day 3 hours 11 minutes
• On-Demand
• Free Online Course (Audit)

• Best of All Time

Markov, Chebyshev, and Chernoff Inequalities in Probabilistic Analysis

Master fundamental probabilistic inequalities - Markov, Chebyshev, and Chernoff - and their applications in combinatorial analysis through clear mathematical explanations and examples.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Bounded Differences Inequality and Azuma-Hoeffding Inequality

Master probabilistic analysis through the Bounded Differences Inequality, exploring its applications in coupon collection and random graph coloring, with focus on Lipschitz functions and concentration bounds.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Probability

Explore probability concepts, from basic principles to advanced topics like mutually exclusive events and binomial coefficients, enhancing your statistical analysis skills.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

Ryan O'Donnell

Probability 1

Explore key concepts in probability theory, including events, conditioning, chain rule, and independence, with practical examples and problem-solving techniques.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Some Tales of Universality from the World of Probability by Riddhipratim Basu

Explore universality in probability theory, from the central limit theorem to contemporary research, examining how complex systems share large-scale features despite microscopic differences.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure III

Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Concentration Functions and Entropy Bounds for Discrete Log-Concave Distributions

Explore concentration functions and entropy bounds for discrete log-concave distributions, with applications to entropy power inequalities. Based on joint research in probability theory.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Large Deviations Approach to High-Dimensional Convex Bodies - Lecture I

Explores large deviation principles in high-dimensional convex bodies, focusing on non-universal behaviors in random projections and their relation to underlying geometry.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Hammond and Sheffields Power Law Pólya's Urn

Explores power law Pólya's urn model, analyzing genealogical aspects, coalescence probabilities, and asymptotic behavior. Discusses random partitions, fractional Brownian motion, and metastable systems in probability theory.

• YouTube
• 40 minutes
• On-Demand
• Free Video

IEEE

Modified Log-Sobolev Inequalities for Strongly Log-Concave Distributions

Explore modified log-Sobolev inequalities and their applications to strongly log-concave distributions in this advanced mathematical analysis presentation.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Alan Turing Institute

Entropic Optimal Transport

Explore entropic optimal transport with Prof. Marcel Nutz, delving into advanced mathematical concepts and their applications in economics and probability theory.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Alan Turing Institute

John M. Keynes and Treatise on Probability - Prof. Simon Blackburn

Explore Keynes's Treatise on Probability, its scholarly depth, Russell's influence, and skepticism about mathematical applications. Examine Ramsey's critique and Keynes's response.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Alan Turing Institute

Dependence, Uncertainty, and Risk - Prof. Paul Embrechts

Explore quantitative risk management through extremal bounds for risk measures, focusing on uncertainty in interdependence between risk factors and its impact on portfolio analysis.

• YouTube
• 47 minutes
• On-Demand
• Free Video