
arXiv: 1906.01465
In this paper we propose and examine gap statistics for assessing uniform distribution hypotheses. We provide examples relevant to data integrity testing for which max-gap statistics provide greater sensitivity than chi-square ($��^2$), thus allowing the new test to be used in place of or as a complement to $��^2$ testing for purposes of distinguishing a larger class of deviations from uniformity. We establish that the proposed max-gap test has the same sequential and parallel computational complexity as $��^2$ and thus is applicable for Big Data analytics and integrity verification.
Methodology (stat.ME), FOS: Computer and information sciences, Computer Science - Cryptography and Security, Cryptography and Security (cs.CR), Statistics - Methodology
Methodology (stat.ME), FOS: Computer and information sciences, Computer Science - Cryptography and Security, Cryptography and Security (cs.CR), Statistics - Methodology
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