The limit behavior of maxima modulo one and the number of maxima

Y. Qi; R. J G Wilms

doi:10.1016/s0167-7152(96)00095-8

The limit behavior of maxima modulo one and the number of maxima

Y. Qi, R. J G Wilms

Mathematics & Statistics

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

4 Scopus citations

Abstract

Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.

Original language	English (US)
Pages (from-to)	75-84
Number of pages	10
Journal	Statistics and Probability Letters
Volume	34
Issue number	1
DOIs	https://doi.org/10.1016/s0167-7152(96)00095-8
State	Published - Apr 1 1997

Bibliographical note

Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

Keywords

Distribution modulo 1
Extreme order statistics
Fractional parts
Number of maxima

Access

10.1016/s0167-7152(96)00095-8

OpenUrl availability

Full text

Cite this

@article{6b5b23af56e6421ea5c13094d44650e7,

title = "The limit behavior of maxima modulo one and the number of maxima",

abstract = "Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.",

keywords = "Distribution modulo 1, Extreme order statistics, Fractional parts, Number of maxima",

author = "Y. Qi and Wilms, {R. J G}",

year = "1997",

month = apr,

day = "1",

doi = "10.1016/s0167-7152(96)00095-8",

language = "English (US)",

volume = "34",

pages = "75--84",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - The limit behavior of maxima modulo one and the number of maxima

AU - Qi, Y.

AU - Wilms, R. J G

PY - 1997/4/1

Y1 - 1997/4/1

N2 - Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.

AB - Asymptotic uniformity of fractional parts of maxima, and the limit behavior of the number of maxima in a discrete sample has been recently studied in the literature. We consider the relationship between these two subjects. Furthermore, we study the convergence in distribution of fractional parts of maxima more generally.

KW - Distribution modulo 1

KW - Extreme order statistics

KW - Fractional parts

KW - Number of maxima

UR - http://www.scopus.com/inward/record.url?scp=0031591238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031591238&partnerID=8YFLogxK

U2 - 10.1016/s0167-7152(96)00095-8

DO - 10.1016/s0167-7152(96)00095-8

M3 - Article

AN - SCOPUS:0031116169

SN - 0167-7152

VL - 34

SP - 75

EP - 84

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 1

ER -

The limit behavior of maxima modulo one and the number of maxima

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this