An introduction to probabilistic models, including random processes and the basic elements of statistical inference.

The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical inference are the keys to analyzing data and making scientifically sound predictions.

Probabilistic models use the language of mathematics. But instead of relying on the traditional "theorem - proof" format, we develop the material in an intuitive -- but still rigorous and mathematically precise -- manner. Furthermore, while the applications are multiple and evident, we emphasize the basic concepts and methodologies that are universally applicable.

The course covers all of the basic probability concepts, including:

- multiple discrete or continuous random variables, expectations, and conditional distributions
- laws of large numbers
- the main tools of Bayesian inference methods
- an introduction to random processes (Poisson processes and Markov chains)

The contents of this course are essentially the same as those of the corresponding MIT class (*Probabilistic Systems Analysis and Applied Probability*) -- a course that has been offered and continuously refined over more than 50 years. It is a challenging class, but it will enable you to apply the tools of probability theory to real-world applications or your research.

- The basic structure and elements of probabilistic models
- Random variables, their distributions, means, and variances
- Probabilistic calculations
- Inference methods
- Laws of large numbers and their applications
- Random processes

Dates:

- 20 May 2019

More on this topic:

Probability - The Science of Uncertainty and Data

Build foundational knowledge of data science with this introduction to probabilistic...

Build foundational knowledge of data science with this introduction to probabilistic...

Probabilistic Graphical Models

In this class, you will learn the basics of the PGM representation and how to...

In this class, you will learn the basics of the PGM representation and how to...

Stat2.2x: Introduction to Statistics: Probability

An introduction to probability, with the aim of developing probabilistic intuition...

An introduction to probability, with the aim of developing probabilistic intuition...

Computing and Data Analysis for Environmental Applications

This subject is a computer-oriented introduction to probability and data analysis...

This subject is a computer-oriented introduction to probability and data analysis...

Data Analysis and Statistical Inference

The Coursera course, Data Analysis and Statistical Inference has been revised...

The Coursera course, Data Analysis and Statistical Inference has been revised...

More from 'Mathematics, Statistics and Data Analysis':

Capstone Exam in Statistics and Data Science

Solidify and demonstrate your knowledge and abilities in probability, data analysis...

Solidify and demonstrate your knowledge and abilities in probability, data analysis...

AGRIMONITOR: Agricultural Policy in the Caribbean

Learn the effects of agricultural policy in the Caribbean and Latin America...

Learn the effects of agricultural policy in the Caribbean and Latin America...

Network Science

The course is an interdisciplinary course, focused on the emerging science of...

The course is an interdisciplinary course, focused on the emerging science of...

Introduction to Linear Models and Matrix Algebra

Learn to use R programming to apply linear models to analyze data in life sciences...

Learn to use R programming to apply linear models to analyze data in life sciences...

High-Dimensional Data Analysis

A focus on several techniques that are widely used in the analysis of high-dimensional...

A focus on several techniques that are widely used in the analysis of high-dimensional...

More from 'edX':

Capstone Exam in Statistics and Data Science

Solidify and demonstrate your knowledge and abilities in probability, data analysis...

Solidify and demonstrate your knowledge and abilities in probability, data analysis...

What Works in Education: Evidence-Based Education Policies

Learn what works in education and how to identify, analyze and implement evidence...

Learn what works in education and how to identify, analyze and implement evidence...

Risk Management in Development Projects

Learn to preemptively manage positive and negative events that may affect the...

Learn to preemptively manage positive and negative events that may affect the...

Global History Lab

Learn the span of world history from 1300 to the present. In this global history...

Learn the span of world history from 1300 to the present. In this global history...

Leading Change: Go Beyond Gamification with Gameful Learning

Learn the tools to support gameful learning environments that foster personalized...

Learn the tools to support gameful learning environments that foster personalized...

© 2013-2019