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Herbert Lee, Matthew Heiner, Abel Rodriguez, Raquel Prado, and Jizhou Kang

This Specialization is intended for all learners seeking to develop proficiency in statistics, Bayesian statistics, Bayesian inference, R programming, and much more. Through four complete courses (From Concept to Data Analysis; Techniques and Models; Mixture Models; Time Series Analysis) and a culminating project, you will cover Bayesian methods — such as conjugate models, MCMC, mixture models, and dynamic linear modeling — which will provide you with the skills necessary to perform analysis, engage in forecasting, and create statistical models using real-world data.

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What's inside

Five courses

Bayesian Statistics: From Concept to Data Analysis

This course introduces the Bayesian approach to statistics, covering probability, data analysis, and its philosophy. We'll compare it to the Frequentist approach, highlighting its advantages, including better uncertainty accounting and more interpretable results. Through lectures, demonstrations, readings, exercises, and discussions, you'll gain a solid understanding of Bayesian concepts and be able to perform basic data analyses.

Bayesian Statistics: Techniques and Models

(0 hours)
This second course in a two-course sequence introduces the fundamentals of Bayesian statistics. It builds on the course Bayesian Statistics: From Concept to Data Analysis, which introduces Bayesian methods through use of simple conjugate models. Real-world data often require more sophisticated models to reach realistic conclusions. This course aims to expand our “Bayesian toolbox” with more general models, and computational techniques to fit them.

Bayesian Statistics: Mixture Models

Bayesian Statistics: Mixture Models introduces you to an important class of statistical models. The course is organized into five modules, each containing lecture videos, quizzes, background reading, discussion prompts, and peer-reviewed assignments. Statistics is best learned by doing, so the course is structured to help you learn through application. Some exercises require the use of R, a freely available statistical software package.

Bayesian Statistics: Time Series Analysis

This course, for practicing and aspiring data scientists and statisticians, is the fourth of a four-course sequence introducing the fundamentals of Bayesian statistics. It builds on the course Bayesian Statistics: From Concept to Data Analysis, Techniques and Models, and Mixture models.

Bayesian Statistics: Capstone Project

This capstone project for UC Santa Cruz's Bayesian Statistics Specialization offers an opportunity to demonstrate skills and knowledge in Bayesian statistics and apply them to real-world data. Review essential concepts in Bayesian statistics with lecture videos and quizzes, and perform a complex data analysis and compose a report on your methods and results.

Learning objectives

  • Bayesian inference
  • Time series forecasting
  • Hierarchical modeling

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