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.
涵盖的内容
5个视频7篇阅读材料5个作业1个非评分实验室
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5个视频•总计23分钟
Introduction to Bayesian Thinking•3分钟
Probabilistic Thinking•6分钟
Conditional Probability and Bayes' Rule•4分钟
The Prior•5分钟
Random Variables•4分钟
7篇阅读材料•总计70分钟
Course Overview•10分钟
Technical and Accessibility Support•5分钟
The McGurk Effect•20分钟
Bayesian Average•10分钟
Disease Testing and Bayes' Rule•10分钟
Module Wrap-Up•5分钟
Recommended Learning Resources•10分钟
5个作业•总计90分钟
Lab Check-in: Bayesian Inference in College Football•5分钟
Probabilities and Beliefs•10分钟
Bayesian Reasoning & Uncertainty•15分钟
Test Yourself: Introduction to Applied Bayesian Data Analysis•30分钟
Let's Practice: Introduction to Applied Bayesian Data Analysis•30分钟
1个非评分实验室•总计45分钟
Guided Lab: Bayesian Inference in College Football•45分钟
Bayes' Theorem and Conjugate Priors
第 2 单元•小时 后完成
单元详情
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.
涵盖的内容
6个视频3篇阅读材料7个作业1个非评分实验室
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6个视频•总计22分钟
Foundations of Bayesian Inference•2分钟
Bayes’ Rule Beyond Point Estimates•4分钟
Bayesian NFL player evaluation•5分钟
Conjugate Priors•4分钟
Sequential updates in Python•3分钟
Laplacian smoothing•4分钟
3篇阅读材料•总计40分钟
Normal, Binomial, and, Poisson distributions•20分钟
Poisson Likelihood•15分钟
Module Wrap-Up •5分钟
7个作业•总计119分钟
Bayes' Rule for Distributions•10分钟
A deeper look at the Bayesian NFL player evaluation•30分钟
Conjugate priors•10分钟
Lab Check-in: Bayesian Box Office Revenue•5分钟
Laplacian Smoothing•4分钟
Test Yourself: Bayes' Theorem and Conjugate Priors•30分钟
Let's Practice: Bayes' Theorem and Conjugate Priors•30分钟
1个非评分实验室•总计60分钟
Bayesian Box Office Revenue•60分钟
Bayesian Estimation and Credible Intervals
第 3 单元•小时 后完成
单元详情
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.
涵盖的内容
5个视频5篇阅读材料6个作业2个非评分实验室
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5个视频•总计16分钟
Credible intervals•3分钟
Credible vs confidence intervals•3分钟
Posterior sampling•3分钟
Approximate Bayesian Computation (ABC)•4分钟
Rejection Sampling•4分钟
5篇阅读材料•总计100分钟
Empirical Credible Intervals•45分钟
Inverse Transform Sampling•10分钟
ABC Example: The importance of function S()•10分钟
An example of how to sample like a snob: reject them•30分钟
Module Wrap-Up •5分钟
6个作业•总计110分钟
Is it credible or is it confident?•10分钟
Sampling•10分钟
Simulation-based Methods•15分钟
Roll the dice and test your sampling knowledge•15分钟
Test Yourself: Bayesian Estimation and Credible Intervals•30分钟
Let's Practice: Bayesian Estimation and Credible Intervals•30分钟
2个非评分实验室•总计120分钟
Highest Density Intervals (HDIs) Demonstration•60分钟
Rejection Sampling Particle•60分钟
Markov Chain Monte Carlo (MCMC) Methods
第 4 单元•小时 后完成
单元详情
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.
涵盖的内容
4个视频5篇阅读材料5个作业2个非评分实验室
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4个视频•总计18分钟
Markov Chain Monte Carlo (MCMC)•4分钟
Gibbs Sampling•4分钟
Metropolis-Hastings Sampling•4分钟
MCMC Convergence•5分钟
5篇阅读材料•总计68分钟
Why do we need MCMC?•10分钟
Bayesian inference with Metropolis-Hastings sampling•35分钟
Other Sampling Algorithms•10分钟
Module Wrap-Up •3分钟
Course Summary•10分钟
5个作业•总计100分钟
MCMC Method•10分钟
Lab Check-in: Gibbs sampling in Python•5分钟
MCMC Algorithms•25分钟
Test Yourself: Markov Chain Monte Carlo (MCMC) Methods•30分钟
Let's Practice: Markov Chain Monte Carlo (MCMC) Methods•30分钟
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Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.