Research on random numbers
George Marsaglia established the lattice structure of linear congruential generators in the paper "Random numbers fall mainly in the planes",[2] later termed Marsaglia's theorem.[3] This phenomenon means that n-tuples with coordinates obtained from consecutive use of the generator will lie on a small number of equally spaced hyperplanes in n-dimensional space.[4] He also developed the diehard tests, a series of tests to determine whether or not a sequence of numbers have the statistical properties that could be expected from a random sequence. In 1995 he published a CD-ROM of random numbers, which included the diehard tests.[5]
His diehard paper came with the quotation "Nothing is random, only uncertain" attributed to Gail Gasram, though this name is simply the reverse of Marsaglia G, and so likely to be a pseudonym.
He also developed some of the most commonly used methods for generating random numbers and using them to produce random samples from various distributions. Some of the most widely used being the multiply-with-carry, subtract-with-borrow, xorshift, KISS and Mother methods for random numbers, and the ziggurat algorithm for generating normally or other unimodally distributed random variables.
