
Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.

Explore the fundamental properties of Riemann integration in this first-year Oxford Mathematics student lecture. Delve into the intricacies of proving familiar concepts, such as how the integral of a sum of two functions equals the sum of their individua…

Explore advanced probability concepts, from random variables to Markov chains and martingale processes, enhancing your understanding of stochastic systems and their applications.

Explore digital signal processing fundamentals, including sampling, Fourier transforms, discrete systems, filters, and various transform techniques. Gain practical skills in filter design and implementation.

Explore causal invariance in AI with Leon Bottou, delving into proxy problems, correlations, and environments to enhance prediction and address real-world challenges like hiring biases.

Explore optimal asset selling strategies using distribution builder approach, analyzing utility functions, investor behavior, and market dynamics in this mathematical finance lecture.

Explore optimal execution strategies in financial markets, focusing on quadratic variation inventories and automated trading, with insights from Princeton researcher Laura Leal.

Explore dependent stopping times in credit risk theory, covering Cox construction, instantaneous default, and systemic risk measures in financial markets.

Explore equilibrium existence in limited participation economies with Kim Weston. Learn about logarithmic preferences, exponential investors, and key assumptions in this advanced mathematical finance lecture.

Explore financial turbulence with Mike Lipkin, covering topics like order drop, rough paths, and hedging strategies in this insightful lecture on advanced quantitative finance concepts.

Explore commodity volatilities, correlations, and the Samuelson Effect in financial markets. Gain insights into seasonal commodities and modeling techniques for market dynamics.

The present course will address the basic postulates of Statistical Mechanics and then will show how starting from the basic postulates one builds a formidable framework that can be used to explain phenomena mentioned above.

Introduction to social sequence analysis: history, research applications, data sources, capabilities, limitations, and software options for analyzing event and state sequences.

This course will be exclusively quantitative and an application to business/management-related problems. It is connected with problem sets and real-life cases to know the relevance of a particular problem and the decision-making thereof.

Explore vector spaces, linear maps, eigenvalues, and applications in systems, algorithms, and optimization. Gain practical skills in linear algebra for various fields.

Explore algebraic geometry and commutative algebra, covering topics from affine algebraic sets to integral extensions. Gain insights into key theorems and principles in this advanced mathematics course.

Comprehensive video lectures covering fundamental statistical concepts, methods, and applications for beginners through advanced learners.

Learn advanced statistical techniques including regression analysis, ANOVA, and model selection. Master key concepts like variance inflation, F-tests, and information criteria for robust data analysis.

Explore advanced statistical design techniques including Latin squares, Plackett-Burman designs, and factorial experiments. Learn to analyze complex data using GLM, ANOVA, and regression methods.

Comprehensive introduction to statistical concepts and methods, covering fundamental principles and practical applications in data analysis and interpretation.

Gain practical skills in statistical analysis and econometric modeling, enhancing your ability to interpret data and make informed economic decisions.