Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103771
Title: On the average distribution of inversive pseudorandom numbers
Authors: Niederreiter, H. 
Shparlinski, I.E.
Keywords: Digital inversive generator
Discrepancy
Inversive congruential generator
Pseudorandom numbers
Issue Date: Oct-2002
Source: Niederreiter, H.,Shparlinski, I.E. (2002-10). On the average distribution of inversive pseudorandom numbers. Finite Fields and their Applications 8 (4) : 491-503. ScholarBank@NUS Repository.
Abstract: 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 pseudorandom numbers in parts of the period. This method has also been used to study the multidimensional distribution of several other similar families of pseudorandom numbers. Here we apply this method to show that, "on average" over all initial values, much stronger results than those known for "individual" sequences can be obtained. © 2002 Elsevier Science (USA).
Source Title: Finite Fields and their Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/103771
ISSN: 10715797
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

20
checked on Feb 15, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.