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Computer methods for sampling from the exponential and normal distributions

Published: 01 October 1972 Publication History
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    References

    [1]
    Ahrens, J.H. Dieter, U., and Grube, A. Pseudo-random numbers. A new proposal for the choice of multiplicators. Computing 6 (1970), 121-138.
    [2]
    Box, G.E.P., and Muller, M.E. A note on the generation of random normal deviates. Ann. Math. Stat. 29 (1958), 610-611.
    [3]
    Dieter, U. Autokorrelation Multiplikative-erzeugter Pseudo-Zufallszahlen. Operations Res. Verfahren 6 (1969), 69-85.
    [4]
    Dieter, U.m Pseudo-random numbers: The exact distribution of pairs. Math. comput. 25 (1971), 855-883.
    [5]
    Dieter, U., Pseudo-random numbers: Permutations of triplets. J. Res. Nat. Bureao Standards 76B (Jan.-June 1972),
    [6]
    Dieter, U., and Ahrens, J. An exact determination of serial correlation of pseudo-random numbers. Numer. Math 17 (1971), 101-123.
    [7]
    Dieter, U., and ahrens, J. A combinatorial method for the generation of normally distributed random numbers. To appear.
    [8]
    Johnk, M.D. Erzeugen und Testen von Zufaliszahlen. Berichte aus demInstitut fur Statistik und aus dem Institut fur Angewandte Statistik der FU Berlin, Heft 6, Physics-Verlag Wurzburg, 1969.
    [9]
    Knuth, d.E. The art of computer programming. Vol. II: Seminumerical Algorithms, Addision Wesley, Reading, Mass, 1969.
    [10]
    MacLaren, M.d., Marsagha, G., and Bray, T.A. A fast procedure for generating normal random variables Comm. ACM 7, 1 (Jan. 1964), 4-10.
    [11]
    MacLaren, M.D., Marsagha, G., and Bray, T.A. A fast procedure for generating exponential random variables Comm. ACM 7, 5 (May 1964), 298-300.
    [12]
    Marsaglia, G. Expressing a random variable in terms of uniform random variables. Ann. Math. Stat. 32 (1961), 894-899.
    [13]
    Marsaglia, G. Generating exponential random variables. Ann. Math. Stat. 32 (1961), 899-902.
    [14]
    Marsaglia, G. Random variables and computers. Trans. third Prague conf., 1962, pp. 499-512.
    [15]
    Marsagli, G. Generating a variable from the tail of the normal distribution. Technometries 6 91964), 101-102.
    [16]
    Marsaglia, G., and Bray, T.A. A convenient method for generating normal variables. SIAM Rev. 6 (1964), 260-264.
    [17]
    von Neumann, J. Various techniques in connection with random digits Monte Carlo methods. Nat. Bureau Standards, AMS 12 (1951), 36-28.
    [18]
    Sibuya, M., Exponential and other random variable generators. Ann. Inst. Stat. Math. 13 (1961/62), 231-237.

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    cover image Communications of the ACM
    Communications of the ACM  Volume 15, Issue 10
    Oct. 1972
    66 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/355604
    Issue’s Table of Contents
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    Publication History

    Published: 01 October 1972
    Published in CACM Volume 15, Issue 10

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    Author Tags

    1. exponential distribution
    2. normal distribution
    3. numerical analysis
    4. psuedorandom
    5. random numbers
    6. simulation

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