On Exceedances of Record and Order Statistics

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Date

2007

Authors

Bairamov, I. G.

Journal Title

Journal ISSN

Volume Title

Publisher

Amer Mathematical Soc

Open Access Color

BRONZE

Green Open Access

No

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No
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Average
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Average
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Journal Issue

Abstract

Exact, limiting distributions along with their rates of convergence of exceedance statistics for both order statistics and record statistics are provided when the underlying distribution is arbitrary. The exact distribution of record statistics for arbitrary underlying distributions is obtained as well.

Description

Keywords

exact distributions, limit theorems, rates of convergence, Berry-Esseen bounds, Distributional Properties, exact distributions, Asymptotic distribution theory in statistics, Statistics of extreme values; tail inference, limit theorems, Order statistics; empirical distribution functions, Exact distribution theory in statistics, rates of convergence, Berry-Esseen bounds

Fields of Science

0101 mathematics, 01 natural sciences

Citation

WoS Q

Q2

Scopus Q

Q3
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OpenCitations Citation Count
6

Source

Proceedıngs of the Amerıcan Mathematıcal Socıety

Volume

135

Issue

6

Start Page

1935

End Page

1945
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Citations

CrossRef : 4

Scopus : 6

Captures

Mendeley Readers : 3

SCOPUS™ Citations

6

checked on Mar 16, 2026

Web of Science™ Citations

7

checked on Mar 16, 2026

Page Views

4

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Downloads

18

checked on Mar 16, 2026

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0.2964

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