On exponential and other random variable generators
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G. Marsaglia  proposed a new method for generating exponential random variables. In this note, his method is modified and generalized for generating χ2 random variables with even degrees of freedom. Remarks refer to general χ2 and normal random variable generators.
KeywordsMachine Time Exponential Random Variable Uniform Random Number Float Point Arithmetic Uniform Random Variable
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- J. W. Butler, “Machine sampling from given probability distributions,”Symposium on Monte Carlo Methods, pp. 249–264, John Wiley, 1956.Google Scholar
- J. L. Doob,Stochastic Processes, John Wiley, 1953.Google Scholar
- J. von Neumann, “Various thechniques in connection with random digits,”Monte Carlo Methods, National Bureau of Standards, AMS 12 (1951), pp. 36–38.Google Scholar
- Iwaro Takahashi, “Generating gamma random variables,”Keiei Kagaku (Management Science, Japan), Vol. 3, No. 1 (1959, Jan.), pp. 1–6, in Japanese.Google Scholar