Every Wednesday I’ve been pointing out various resources on my website. 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
- Predictive probability interim analysis
- Relating two definitions of expectation
- Illustrating the error in the delta method
- Relating the error function erf and Φ
- 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

Just if you still want to know how to write Stirling numbers of the second kind in LaTeX, Knuth style :)