George Marsaglia
George Marsaglia | |
---|---|
Born | March 12, 1924 |
Died |
February 15, 2011 86) Tallahassee, Florida | (aged
Nationality | American |
Fields | Mathematics |
Institutions |
Florida State University Washington State University |
Alma mater | Ohio State University |
Doctoral advisor | Henry Mann |
George Marsaglia (March 12, 1924 – February 15, 2011)[1] was an American mathematician and computer scientist. He established the lattice structure of linear congruential generators in the paper "Random numbers fall mainly in the planes".[2] This phenomenon is sometimes called the Marsaglia effect and 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.[3] 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.[4]
He is also known for developing 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.
He was Professor Emeritus of Pure and Applied Mathematics and Computer Science at Washington State University and Professor Emeritus of Statistics at Florida State University.
Marsaglia died from a heart attack on February 15, 2011, in Tallahassee.
Family
Marsaglia had one son, John, with his first wife, Lee Ann Marsaglia. Until his death he was married to Doris Marsaglia. He had two grandchildren, Chris and Nicole Marsaglia, through their son John and his wife Michelle.
See also
- Linear congruential generator
- Marsaglia polar method
- Multiply-with-carry
- Subtract with carry
- Xorshift
- Ziggurat algorithm
References
- ↑ George Marsaglia Obituary
- ↑ G. Marsaglia, "Random numbers fall mainly in the planes", Proc. Natl. Acad. Sci. 61(1), 25–28 (1968).
- ↑ Random Number Generator.
- ↑ The Marsaglia Random Number CD-ROM with The Diehard Battery of Tests of Randomness, Supercomputer Computations Research Institute and Department of Statistics, Florida State University.
- Marsaglia, G., Tsang, W. W. (1998) The Monty Python method for generating random variables. ACM Transactions on Mathematical Software, 24 (3), 341–350.
- Marsaglia, G., Tsang, W. W. (2000). The Ziggurat Method for Generating Random Variables. Journal of Statistical Software 5 (8).
- Marsaglia's Alternative to Mersenne Twister 2003 .
- Marsaglia's Alternative to Mersenne Twister 2003 .
- George Marsaglia at the Mathematics Genealogy Project