Miscellaneous math resources

Every Wednesday I've been pointing out various resources on my web site. So far they've all been web pages, but the following are all PDF files.

Probability and statistics:

• How to test a random number generator
• Predictive probabilities for normal outcomes
• One-arm binary predictive probability
• Relating two definitions of expectation
• Illustrating the error in the delta method
• Relating the error function erf and I
• Inverse gamma distribution
• Negative binomial distribution
• Upper and lower bounds for the normal distribution function
• Canonical example of Bayes' theorem in detail
• Functions of regular variation
• Student-t as a mixture of normals

Other math:

• Chebyshev polynomials
• Richard Stanley's twelvefold way (combinatorics)
• Hypergeometric functions
• Outline of Laplace transforms
• Navier-Stokes equations
• Picking the step size for numerical ODEs
• Orthogonal polynomials
• Multi-index notation
• The pqr theorem for seminorms

See also journal articles and technical reports.

Last week: Probability approximations

Next week: Code Project articles