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Yale University
Risk and Financial Crises - Probability Theory in Financial Markets
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Explore probability theory in financial crises context, covering expected value, variance, covariance, and regression analysis. Learn about risk decomposition and the limitations of normal distribution assumptions in finance.
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6
Lesons
1 hour 10 minutes
On-Demand
Free-Video
NPTEL
Probability and Stochastics for Finance
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This course provides the minimum mathematical requirements to study mathematical finance or more precisely the pricing of financial derivatives.
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20
Lesons
11 hours
On-Demand
Free-Video
statisticsmatt
Basic Limit Theorems
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Explore fundamental limit theorems in probability and statistics, including convergence modes, central limit theorem, and law of large numbers, with practical examples and proofs.
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17
Lesons
3 hours 30 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor
Central Limit Theorem - Sampling Distribution of Sample Means - Stats & Probability
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Comprehensive exploration of the Central Limit Theorem, covering sampling distributions, statistical concepts, and probability problems with practical examples and various distribution types.
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15
Lesons
1 hour 1 minute
On-Demand
Free-Video
Applied Algebraic Topology Network
On Characterizing Rare Events in Persistent Homology
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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.
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17
Lesons
53 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network
A Limit Theorem for Betti Numbers of Random Simplicial Complexes
0
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Explore asymptotic behavior of Betti numbers in homogeneous and spatially independent random simplicial complexes, extending previous work on Linial-Meshulam complexes using local weak convergence.
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7
Lesons
24 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network
Barycenters and a Law of Large Numbers in Gromov Hyperbolic Spaces
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Explore barycenters in Gromov hyperbolic spaces, examining contraction properties and a law of large numbers for convex optimization applications in metric spaces.
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1
Lesons
51 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor
Probability Distribution Formulas
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Explore formulas for binomial, geometric, Poisson, uniform, and exponential probability distributions. Master key concepts to solve statistical problems effectively.
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1
Lesons
16 minutes
On-Demand
Free-Video
MITCBMM
Generalization Error and Stability
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Explore statistical learning theory, focusing on generalization error, stability, and empirical risk minimization. Gain insights into universal consistency and the law of large numbers.
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8
Lesons
1 hour 21 minutes
On-Demand
Free-Video
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