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Probability-generating function
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Related lectures (31)
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The cross-nested logit model
Explores the cross-nested logit model, defining alternative groups with overlapping memberships and scale parameters for transportation analysis.
Elementary Distributions Factsheet
Covers elementary distributions like Bernoulli, Binomial, Geometric, Negative Binomial, Poisson, and Multinomial.
Review of Probability
Covers the review of probability concepts including Poisson distribution and moment generating functions.
Advanced Counting: Examples
Covers advanced counting techniques, including linear recurrence relations and generating functions, with examples from the Fibonacci sequence and differences between dice and poker cards.
Generating Functions: Advanced Counting
Covers the definition of generating functions and their application in solving recurrence relations.
Extreme Value Models: Technical Derivation
Explores the technical derivation and properties of Multivariate Extreme Value models.
Common Distributions: Moment Generating Functions
Explores common probability distributions, special distributions, and entropy concepts.
Combinatorial Mathematics
Explores combinatorial mathematics, covering permutations, combinations, and binomial coefficients, along with probability and statistics concepts.
Generating Functions for Correlation Functions
Explores generating functions for correlation functions in the context of the forced harmonic oscillator.
Multi-arm Bandits: Regret and Exploration
Explores regret in multi-arm bandits, balancing exploration and exploitation for optimal decision-making in real-world applications.