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- W1563057118 abstract "Abstract : This thesis presents an analysis of the distribution of residues generated by the kth power-order linear homogeneous recurrence y(n+k)=a(k-1)y(n+k-1)+ ... + a(0)y(n) mod p to the power alpha when x to the kth power - a(k-1) x to the (k-1) power - ... - a(0) is a primitive polynomial in z(p)(x). It is shown that for t or = k the tuples of t consecutive residues are equidistributed in t dimensions in the limit as alpha goes to infinity, subject only to a much weaker condition on the distribution of the residues. When specialized to the absolute value of a(j) or = 1, the recurrence is the basis, for a computer random number generator which can be efficiently implemented directly in floating-point arithmetic with no multiplication and little machine dependence. The results of empirical tests comparing generators of this type with standard linear congruential generators are also presented. (Author)" @default.
- W1563057118 created "2016-06-24" @default.
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- W1563057118 date "1977-01-01" @default.
- W1563057118 modified "2023-09-24" @default.
- W1563057118 title "Analysis of additive random number generators" @default.
- W1563057118 hasPublicationYear "1977" @default.
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