Empirical tests of multipliers for the prime-modulus random number generator Xi[subscript i]b 1s [if and only if] AXb1s mod 2p31s-1
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Authors
Learmonth, Gerard P.
Subjects
Random number generation
Prime-modulus random number generator
Primitive root multipliers
Runs Tests
Serial tests
Self-shuffled generators.
Prime-modulus random number generator
Primitive root multipliers
Runs Tests
Serial tests
Self-shuffled generators.
Advisors
Date of Issue
1977-06
Date
Publisher
Monterey, CA; Naval Postgraduate School
Language
Abstract
Five primitive root multipliers for the prime-modulus 31 random number generator X.i+,l, = AX . mod 2 -1 have been i subjected to a battery of runs tests and serial tests for pairs and triples. Recommendations regarding these multipliers are made. Interesting results regarding the relative timings of the multipliers are presented. We also give results for the generators with these multipliers after they have been self-shuffled. A case where self-shuffling produced adverse results is also presented.
Type
Technical Report
Description
Series/Report No
Department
Organization
Identifiers
NPS Report Number
NPS55-77-30
Sponsors
Funding
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.