LP-discrepancy and statistical independence of sequences

Peter J. Grabner; Oto Strauch; Robert F. Tichy

doi:10.1023/A:1022460225387

L^P-discrepancy and statistical independence of sequences

Peter J. Grabner^*, Oto Strauch, Robert F. Tichy

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We characterize statistical independence of sequences by the L^P-discrepancy and the Wiener L^P-discrepancy. Furthermore, we find asymptotic information on the distribution of the L²-discrepancy of sequences.

Original language	English
Pages (from-to)	97-110
Number of pages	14
Journal	Czechoslovak Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.1023/A:1022460225387
Publication status	Published - 1 Jan 1999

Keywords

Discrepancy
Distribution functions
Sequences
Statistical independence

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1023/A:1022460225387Licence: CC BY 4.0

Cite this

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title = "LP-discrepancy and statistical independence of sequences",

abstract = "We characterize statistical independence of sequences by the LP-discrepancy and the Wiener LP-discrepancy. Furthermore, we find asymptotic information on the distribution of the L2-discrepancy of sequences.",

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AU - Tichy, Robert F.

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AB - We characterize statistical independence of sequences by the LP-discrepancy and the Wiener LP-discrepancy. Furthermore, we find asymptotic information on the distribution of the L2-discrepancy of sequences.

KW - Discrepancy

KW - Distribution functions

KW - Sequences

KW - Statistical independence

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