Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Compound probability distribution

Related lectures (29)

Dependence Concepts and Copulas

Explores dependence concepts, copulas, correlation fallacies, and rank correlations in statistics.

Quantitative Risk Management: Distributions and Techniques

Covers distributions and techniques in Quantitative Risk Management for financial modeling.

Multivariate Normal Distribution: Correlation and Covariance

Covers correlation, covariance, empirical estimates, eigenvalues, normality testing, and factor models.

Mixture Models: Simulation-based Estimation

Explores mixture models, including discrete and continuous mixtures, and their application in capturing taste heterogeneity in populations.

Reduced Density Matrices: System+Environment

Covers the concept of density matrices and the system-environment interaction.

3-dimensional Anosov flows: U(1)-extension and Exponential Mixing

Explores the U(1)-extension of Anosov diffeomorphisms and the proof of exponential mixing through uniform contractivity and cancellation by complex phases.

Multivariate Distributions: Spherical and Elliptical

Explores spherical and elliptical distributions, normal variance mixtures, factor models, and principal component analysis.

Complement: Some examples of cdfs

Covers examples of cumulative distribution functions for continuous random variables and correlations between random variables.

Density Matrix: Recap and Bloch 'Ball'

Covers the concept of density matrix and its properties, focusing on statistical mixtures and measurements.

Spherical & Elliptical Distributions

Covers spherical and elliptical distributions of random vectors.

Principal Component Analysis: Introduction

Introduces Principal Component Analysis, focusing on maximizing variance in linear combinations to summarize data effectively.

3-dimensional Anosov flows: Mixing Properties and Equilibrium Measures

Explores mixing properties and equilibrium measures in 3-dimensional Anosov flows.

Mixtures: introduction MOOC: Selected Topics on Discrete Choice

Introduces mixtures, covers discrete and continuous mixtures, explores examples, and discusses combining probit and logit models.

Elliptical Distributions: Properties and Applications

Covers elliptical distributions, including properties, applications, and risk management implications.

3-dimensional Anosov flows: Exponential Mixing and Transfer Operators

Covers 3-dimensional Anosov flows, exponential mixing, transfer operators, and equilibrium measures.

Transformations of Random Variables

Covers the pdf of the sum of continuous random variables, convolution, and transformations like Y=aX.

Variational Inference and Neural Networks

Covers variational inference and neural networks for classification tasks.

Gaussian Mixture Models: Data Classification Log in to Mediaspace to watch this video

Explores denoising signals with Gaussian mixture models and EM algorithm, EMG signal analysis, and image segmentation using Markovian models.

Partitioning Equilibrium Log in to Mediaspace to watch this video

Covers partitioning equilibrium, sorption isotherms, and the role of natural organic matter in environmental chemistry.

Data Classification: Gaussian Mixture Models Log in to Mediaspace to watch this video

Explores Gaussian Mixture Models for data classification, focusing on denoising signals and estimating original data using likelihood and posteriori approaches.