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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


Polar generation of random variates with the $ t$-distribution

Author: Ralph W. Bailey
Journal: Math. Comp. 62 (1994), 779-781
MSC: Primary 65C10; Secondary 62E15
MathSciNet review: 1219702
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Abstract: The "polar" method of Box and Muller uses two independent uniform variates in order to generate two independent normal variates. It can be adapted so that two variates from Student's t-distribution with parameter $ \nu $ are generated, though the two variates are now not independent. An algorithm based on the polar method is exact, inexpensive, and valid for all $ \nu > 0$.

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PII: S 0025-5718(1994)1219702-8
Article copyright: © Copyright 1994 American Mathematical Society