Statistical Inference for Data Science Applications Specialization

This program is designed to provide the learner with a solid foundation in probability theory to prepare for the broader study of statistics. It will also introduce the learner to the fundamentals of statistics and statistical theory and will equip the learner with the skills required to perform fundamental statistical analysis of a data set in the R programming language.
This specialization can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder.
WHAT YOU WILL LEARN

  • Explain why probability is important to statistics and data science.
  • See the relationship between conditional and independent events in a statistical experiment.
  • Calculate the expectation and variance of several random variables and develop some intuition.
  • Identify characteristics of “good” estimators and be able to compare competing estimators.
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Probability Theory: Foundation for Data Science (Coursera) Coursera
University of Colorado Boulder

Probability Theory: Foundation for Data Science (Coursera)

Dive into Probability Theory: A comprehensive online course designed to equip you with a solid foundation in probability, crucial for advancing your knowledge in statistics and data science. Learn how to calculate probabilities, understand the difference between independent and dependent events, explore discrete and continuous random variables, and delve into Gaussian (normal) distributions and the Central Limit Theorem.

May 25th 2026
5-12 Weeks
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