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Author Hemmerle, W. J.
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Language English
Subject Keyword Multiplicative congruential generator ♦ Uniform distribution ♦ Psuedo-random number ♦ Random number generator ♦ Power residue ♦ Two's complement arithmetic ♦ Ibm 360 arithmetic ♦ Random number
Abstract The familiar multiplicative congruential generator is examined in the context of the type of two's complement arithmetic used in the IBM 360 series. Different sequences of residues are considered and relationships established among them. It is shown that a sequence of positive and negative residues may be produced more simply and econimically than with the conventional approach and yet have twice the period of the latter without loss of desirable statistical properties. Another easily generated sequence involving absolute values is also shown to have twice the period but with the less attractive statistical properties. The statistical properties of these sequences are given and related to previously established criteria.
Description Affiliation: Univ. of Rhode Island, Kingston (Hemmerle, W. J.)
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2005-08-01
Publisher Place New York
Journal Communications of the ACM (CACM)
Volume Number 12
Issue Number 7
Page Count 2
Starting Page 382
Ending Page 383


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Source: ACM Digital Library