On pseudorandom functions and asymptotic distributions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2000 Japan Publisher:Walter de Gruyter GmbHJournal:Monte Carlo Methods and Applications, volume 6 (issn: 0929-9629, eissn: 1569-3961,

Copyright policy )

Authors: Fukuyama, Katusi; Tomokuni, Tetsuo;

doi: 10.1515/mcma.2000.6.3.167

On pseudorandom functions and asymptotic distributions

- Summary
- Subjects
- Metrics

Abstract

The authors provide a simple proof of a result of \textit{S. Ogawa} [J. Math. Anal. Appl. 158, No. 1, 94-105 (1991; Zbl 0731.60027)] on the asymptotic behaviour of pseudorandom functions. Some flaws in Ogawa's original statement are indicated and a counterexample is given. The authors also present examples of pseudorandom functions with symmetric stable asymptotic distributions, thus extending a result of \textit{Pham Phu Hien} [C. R. Acad. Sci., Paris, Sér. A 267, 803-806 (1968; Zbl 0198.51102)].

Country

Japan

Related Organizations

Kobe University
Japan

Keywords

Functional limit theorems; invariance principles, symmetric stable asymptotic distributions, pseudorandom functions, Monte Carlo methods

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

bronze