Virtual Laboratories in Probability and Statistics


Basic Information

Expository Chapters

  1. Foundations
  2. Probability Spaces
  3. Distributions
  4. Expected Value
  5. Special Distributions
  6. Random Samples
  7. Point Estimation
  8. Set Estimation
  9. Hypothesis Testing
  10. Geometric Models
  11. Bernoulli Trials
  12. Finite Sampling Models
  13. Games of Chance
  14. The Poisson Process
  15. Renewal Processes
  16. Stochastic Processes
  17. Markov Chains
  18. Brownian Motion

Ancillary Materials

Support and Navigation


The goal of this project is to provide free, high quality, interactive, web-based resources for students and teachers of probability and statistics. Basically, our project consists of an integrated set of components that includes expository text, interactive web apps, data sets, biographical sketches, and an object library. Please read the Introduction for more information about the content, structure, mathematical prerequisites, technologies, and organization of the project.

Technologies and Browser Requirements

This site uses a number of advanced (but open and standard) technologies, including HTML5, CSS, and JavaScript. To use this project properly, you will need a modern browser that supports these technologies. The latest versions of Chrome and Safari are the best choices. The latest versions of Firefox, Opera, and Internet Explorer also work well.

Display of mathematical notation is handled by the open source MathJax project. The display will be best if you have the STIX fonts installed on your computer. The MathJax site has instructions on installing the fonts for various operating systems.

Support and Partnerships

This project was partially supported by a two grants from the Course and Curriculum Development Program of the National Science Foundation (award numbers DUE-9652870 and DUE-0089377). This project is also partially supported by the University of Alabama in Huntsville. This project is a partner in the Mathematics Digital Library (MathDL), which is part of the National Science Digital Library (NSDL). MathDL is supported by the National Science Foundation and the Mathematical Association of America. Please see the support and credits page for additional information.

Rights and Permissions

This work is licensed under a Creative Commons License. Basically, you are free to copy, distribute, and display this work, to make derivative works, and to make commercial use of the work. However you must give proper attribution and provide a link to the home site: Click on the Creative Commons link above for more information.