University of Pittsburgh

Applied Bayesian Data Analysis Specialization

University of Pittsburgh

Applied Bayesian Data Analysis Specialization

Master Bayesian Methods for Data Analysis.

Apply Bayesian inference and probabilistic modeling to solve complex data science problems.

Included with Coursera Plus

Get in-depth knowledge of a subject
Intermediate level

Recommended experience

2 months to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Get in-depth knowledge of a subject
Intermediate level

Recommended experience

2 months to complete
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Apply Bayes' theorem, conjugate priors, and MCMC methods to perform Bayesian inference and construct credible intervals for parameter estimation.

  • Build and validate Bayesian regression models including linear, hierarchical, and GLM models for predictive analytics and model comparison.

  • Implement advanced Bayesian methods—variational inference and non-parametric modeling—for complex data analysis and Bayesian decision theory.

  • Apply probabilistic programming and Bayesian workflows to real-world applications in sports analytics, healthcare, and data-driven decision-making.

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Taught in English
Recently updated!

May 2026

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Specialization - 3 course series

Bayesian Inference Fundamentals

Bayesian Inference Fundamentals

Course 1, 20 hours

What you'll learn

  • Apply Bayes' theorem to compute posterior distributions and quantify uncertainty in statistical inference problems.

  • Explain conjugacy for efficient Bayesian inference and interpret credible intervals for parameter estimation.

  • Compare Bayesian and frequentist approaches to understand philosophical differences in statistical reasoning.

  • Execute MCMC algorithms, including Metropolis-Hastings and Gibbs sampling, for complex posterior approximation.

Skills you'll gain

Category: Probability Distribution
Category: Statistical Programming
Category: Statistical Inference
Category: Probability & Statistics
Category: Statistical Analysis
Category: Statistical Methods
Category: Bayesian Statistics
Category: Statistics
Category: Statistical Modeling
Category: Markov Model
Category: Algorithms
Bayesian Regression and Model Selection

Bayesian Regression and Model Selection

Course 2, 20 hours

What you'll learn

  • Implement variational inference for scalable Bayesian analysis and determine when to prefer VI over MCMC methods.

  • Apply Gaussian Process Regression and Dirichlet Processes for flexible non-parametric modeling solutions.

  • Execute complete Bayesian workflows using PyMC3 from model specification through validation and diagnostics.

  • Build decision-theoretic models using loss functions for applications in sports analytics, healthcare, and business decision-making.

Skills you'll gain

Category: Predictive Modeling
Category: Data-Driven Decision-Making
Category: Statistical Methods
Category: Bayesian Statistics
Category: Statistical Modeling
Category: Mathematical Modeling
Category: Statistical Inference
Category: Model Evaluation
Category: Logistic Regression
Category: Sampling (Statistics)
Category: Regression Analysis
Category: Statistical Machine Learning
Category: Predictive Analytics
Category: Probability Distribution
Category: Statistical Analysis
Category: Markov Model
Category: Computational Thinking
Category: Machine Learning Algorithms
Advanced Bayesian Methods and Applications

Advanced Bayesian Methods and Applications

Course 3, 22 hours

What you'll learn

  • Apply variational inference and non-parametric Bayesian methods to scale probabilistic models to large datasets effectively.

  • Implement Bayesian decision theory with loss functions to make principled predictions and quantify uncertainty in real applications.

  • Build and evaluate complex Bayesian models using PyMC3 following best practices from the complete Bayesian workflow.

  • Deploy advanced techniques including Gaussian processes and Dirichlet processes for flexible modeling in diverse domains.

Skills you'll gain

Category: Statistical Programming
Category: Markov Model
Category: Predictive Analytics
Category: Bayesian Statistics
Category: Health Informatics
Category: Statistical Analysis
Category: Data Science
Category: Regression Analysis
Category: Data-Driven Decision-Making
Category: Computational Thinking
Category: Probability Distribution
Category: Predictive Modeling
Category: Statistical Machine Learning
Category: Statistical Inference
Category: Statistical Methods
Category: Applied Machine Learning
Category: Python Programming
Category: Machine Learning
Category: Statistical Modeling
Category: Machine Learning Algorithms

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Instructor

Konstantinos Pelechrinis
University of Pittsburgh
4 Courses250 learners

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