Geometric random inner product test and randomness of π
International Journal of Modern Physics C
World Scientific Publishing Co. Pte. Ltd.
295 - 311
Item Usage Stats
MetadataShow full item record
The Geometric Random Inner Product (GRIP) is a recently developed test method for randomness. As a relatively new method, its properties, weaknesses, and strengths are not well documented. In this paper, we provide a rigorous discussion of what the GRIP test measures, and point out specific classes of defects that it is able to diagnose. Our findings show that the GRIP test successfully detects series that have regularities in their first- or second-order differences, such as the Weyl and nested Weyl sequences. We compare and contrast the GRIP test to some of the existing conventional methods and show that it is particularly successful in diagnosing deficient random number generators with bad lattice structures and short periods. We also present an application of the GRIP test to the decimal digits of π.
KeywordsGeometric random inner products
Random number generator
Randomness of π
Published Version (Please cite this version)http://dx.doi.org/10.1142/S0129183109013625
Showing items related by title, author, creator and subject.
Klyachko, A. A.; Özen, I. (2009)The results of our study are twofold. From the random matrix theory point of view we obtain results on the rank distribution of column submatrices. We give the moments and the covariances between the ranks (q- rank) of ...
Dulek, B.; Vanli, N. D.; Gezici, S.; Varshney P. K. (IEEE, 2013)The optimum power randomization problem is studied to minimize outage probability in flat block-fading Gaussian channels under an average transmit power constraint and in the presence of channel distribution information ...
Alouani, I.; Ahangari, H.; Ozturk, O.; Niar, S. (Institute of Electrical and Electronics Engineers Inc., 2016)Technology shift and voltage scaling increased the susceptibility of Static Random Access Memories (SRAMs) to errors dramatically. In this paper, we present NS-SRAM, for Neighborhood Solidarity SRAM, a new technique to ...