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In diesem Kurs gibt es 4 Module
Master Bayesian inference and unlock powerful probabilistic reasoning for data-driven decision-making. This course builds your foundation in Bayesian analysis, from viewing probability as degrees of belief to implementing advanced MCMC methods. Learn to apply Bayes’ theorem to real-world problems, use conjugate priors for efficient computation, and derive credible intervals that fully capture parameter uncertainty. Through hands-on practice, you’ll move from analytical solutions to computational techniques like Metropolis-Hastings, Gibbs sampling and Variational Inference, essential for modern Bayesian workflows. You’ll gain skill in interpreting posterior distributions, contrasting Bayesian and frequentist perspectives, and applying convergence diagnostics for reliable results. Whether in finance, healthcare, or business, you’ll acquire the statistical framework and computational tools to make principled inferences under uncertainty and effectively communicate probabilistic insights.
Welcome to Bayesian Inference Fundamentals! In this module, you will be introduced to the Bayesian way of thinking. First, focusing on the qualitative and quantitative details of Bayes' theorem. Then, you will also learn about random variables, which are a central piece of probabilistic and Bayesian analysis.
Das ist alles enthalten
5 Videos7 Lektüren5 Aufgaben1 Unbewertetes Labor
Infos zu Modulinhalt anzeigen
5 Videos•Insgesamt 23 Minuten
Introduction to Bayesian Thinking•3 Minuten
Probabilistic Thinking•6 Minuten
Conditional Probability and Bayes' Rule•4 Minuten
The Prior•5 Minuten
Random Variables•4 Minuten
7 Lektüren•Insgesamt 70 Minuten
Course Overview•10 Minuten
Technical and Accessibility Support•5 Minuten
The McGurk Effect•20 Minuten
Bayesian Average•10 Minuten
Disease Testing and Bayes' Rule•10 Minuten
Module Wrap-Up•5 Minuten
Recommended Learning Resources•10 Minuten
5 Aufgaben•Insgesamt 90 Minuten
Let's Practice: Introduction to Applied Bayesian Data Analysis•30 Minuten
Lab Check-in: Bayesian Inference in College Football•5 Minuten
Probabilities and Beliefs•10 Minuten
Bayesian Reasoning & Uncertainty•15 Minuten
Test Yourself: Introduction to Applied Bayesian Data Analysis•30 Minuten
1 Unbewertetes Labor•Insgesamt 45 Minuten
Guided Lab: Bayesian Inference in College Football•45 Minuten
Bayes' Theorem and Conjugate Priors
Modul 2•4 Stunden abzuschließen
Moduldetails
In this module, you will further your understanding of Bayes’ rule by applying it to distributions of random variables. This will provide you with the full benefits of the Bayes rule, going beyond posterior point estimates.
Test Yourself: Bayes' Theorem and Conjugate Priors•30 Minuten
1 Unbewertetes Labor•Insgesamt 60 Minuten
Bayesian Box Office Revenue•60 Minuten
Bayesian Estimation and Credible Intervals
Modul 3•6 Stunden abzuschließen
Moduldetails
In this module, you will focus on the important difference between the Bayesian and frequentist approaches through the lens of credible and confidence intervals. You will understand the main benefits of taking a Bayesian approach in analyzing your data, and you will see a first set of methods for approximating posteriors through simulations.
Das ist alles enthalten
5 Videos5 Lektüren6 Aufgaben2 Unbewertete Labore
Infos zu Modulinhalt anzeigen
5 Videos•Insgesamt 16 Minuten
Credible intervals•3 Minuten
Credible vs confidence intervals•3 Minuten
Posterior sampling•3 Minuten
Approximate Bayesian Computation (ABC)•4 Minuten
Rejection Sampling•4 Minuten
5 Lektüren•Insgesamt 100 Minuten
Empirical Credible Intervals•45 Minuten
Inverse Transform Sampling•10 Minuten
ABC Example: The importance of function S()•10 Minuten
An example of how to sample like a snob: reject them•30 Minuten
Module Wrap-Up •5 Minuten
6 Aufgaben•Insgesamt 110 Minuten
Let's Practice: Bayesian Estimation and Credible Intervals•30 Minuten
Is it credible or is it confident?•10 Minuten
Sampling•10 Minuten
Simulation-based Methods•15 Minuten
Roll the dice and test your sampling knowledge•15 Minuten
Test Yourself: Bayesian Estimation and Credible Intervals•30 Minuten
2 Unbewertete Labore•Insgesamt 120 Minuten
Highest Density Intervals (HDIs) Demonstration•60 Minuten
Rejection Sampling Particle•60 Minuten
Markov Chain Monte Carlo (MCMC) Methods
Modul 4•6 Stunden abzuschließen
Moduldetails
In this module, we will introduce the core of Bayesian inference, Markov Chain Monte Carlo. We will see in detail two foundational algorithms in Gibbs sampling and Metropolis-Hastings sampling. We will also identify best practices and diagnostics for convergence.
Das ist alles enthalten
4 Videos5 Lektüren5 Aufgaben2 Unbewertete Labore
Infos zu Modulinhalt anzeigen
4 Videos•Insgesamt 18 Minuten
Markov Chain Monte Carlo (MCMC)•4 Minuten
Gibbs Sampling•4 Minuten
Metropolis-Hastings Sampling•4 Minuten
MCMC Convergence•5 Minuten
5 Lektüren•Insgesamt 68 Minuten
Why do we need MCMC?•10 Minuten
Bayesian inference with Metropolis-Hastings sampling•35 Minuten
Other Sampling Algorithms•10 Minuten
Module Wrap-Up •3 Minuten
Course Summary•10 Minuten
5 Aufgaben•Insgesamt 100 Minuten
Let's Practice: Markov Chain Monte Carlo (MCMC) Methods•30 Minuten
MCMC Method•10 Minuten
Lab Check-in: Gibbs sampling in Python•5 Minuten
MCMC Algorithms•25 Minuten
Test Yourself: Markov Chain Monte Carlo (MCMC) Methods•30 Minuten
2 Unbewertete Labore•Insgesamt 120 Minuten
Gibbs sampling in Python•60 Minuten
Metropolis Hastings Bayesian inference•60 Minuten
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