Probability

  • The BUGS (Bayesian inference Using Gibbs Sampling) project is concerned with flexible software for the Bayesian analysis of complex statistical models using Markov chain Monte Carlo (MCMC) methods. This site is primarily concerned with the stand-alone WinBUGS 1.4.1 package, which has a graphical user interface and on-line monitoring and convergence diagnostics. This program can be downloaded for free from the site.

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  • This project examines the randomness of clusters using the Poisson Distribution. Using Microsoft Excel, the activity simulates the bombs of London and examines the occurences per cell to estimate lambda.
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  • This program allows the student to explore the nature of sampling distributions of sample means and sample proportions. The software provides separate windows for building population distributions, drawing and viewing random samples from the population, exploring the behavior of sampling distributions of sample means, and exploring the behavior of confidence intervals.
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  • This site provides the contents of the online book "The Assessment Challenge in Statistics Education".
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  • This powerpoint presentation from INFORMS Applied Probability Society provides a brief overview of switches, routers, input-queued crossbars, combined input- and output-queued switches, buffered crossbars, and algorithms for bandwidth partitioning, security, encryption, and deep packet inspection.
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  • This tutorial presentation from INFORMS Applied Probability Society covers the long range dependence (or long memory)property of certain stationary stochastic processes.
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  • This introductory probability textbook, freely available here in pdf format, emphasizes the use of computing to simulate experiments and make computations. A set of programs that go with the book and the answers to the odd-numbered problems are also available from this site. Chapter headings include: Discrete Probability, Continuous Probability Densities, Combinatorics, Conditional Probability, Distributions and Densities, Expected Value and Variance, Sums of Random Variables, Law of Large Numbers, Central Limit Theorem, Generating Functions, Markov Chains, and Random Walks.
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  • This website serves as an online textbook for introductory statistics, covering topics such as summarizing and presenting data, producing data, variation and probability, statistical inference, and control charts.
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  • This site contains links to and descriptions of over 600 applets that can be used for demonstrations or analysis of topics commonly covered in introductory statistics courses.

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  • This page calculates either sample size or power for a one sample binomial problem. Users choose between a one-sided and two-sided test and specify the null and alternative hypothesized proportions. The calculator also gives the critical value.

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