๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Distribution and Lattice Structure of Nonlinear Congruential Pseudorandom Numbers

โœ Scribed by Harald Niederreiter; Igor E. Shparlinski

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
106 KB
Volume
5
Category
Article
ISSN
1071-5797

No coin nor oath required. For personal study only.

โœฆ Synopsis

The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present a new type of discrepancy bound for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers and a result on the s-dimensional lattice structure.

๐Ÿ“œ SIMILAR VOLUMES

On the Average Distribution of Inversive
On the Average Distribution of Inversive Pseudorandom Numbers
โœ Harald Niederreiter; Igor E. Shparlinski ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 146 KB

The inversive congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. The authors have recently introduced a new method for obtaining nontrivial upper bounds on the multidimensional discrepancy of inversive congruential pseudor

The effect of mating structure and proge
The effect of mating structure and progeny distribution on heterozygosity versus the number of alleles as measures of variation
โœ R.B. Campbell ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 357 KB

Heterozygosity and the number of alleles are both measures of the genetic variation of a population. They are qualitatively similar if the distribution of the number of progeny is Poisson, but not necessarily for other distributions. In particular, selfing decreases heterozygosity and also decreases