Bringing closure to the plotting position controversy

Lasse Makkonen (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

46 Citations (Scopus)

Abstract

In this article, it is explicitly demonstrated that the probability of non exceedance of the mth value in n order ranked events equals m/(n + 1). Consequently, the plotting position in the extreme value analysis should be considered not as an estimate, but to be equal to m/(n + 1), regardless of the parent distribution and the application. The many other suggested plotting formulas and numerical methods to determine them should thus be abandoned. The article is intended to mark the end of the century-long controversial discussion on the plotting positions.
Original languageEnglish
Pages (from-to)460-467
JournalCommunications in Statistics: Theory and Methods
Volume37
Issue number3
DOIs
Publication statusPublished - 2008
MoE publication typeA1 Journal article-refereed

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Closure
Exceedance
Extreme Values
Numerical Methods
Estimate

Keywords

  • cumulative distribution function
  • extreme value analysis
  • order ranking
  • plotting positions
  • probability

Cite this

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Bringing closure to the plotting position controversy. / Makkonen, Lasse (Corresponding Author).

In: Communications in Statistics: Theory and Methods, Vol. 37, No. 3, 2008, p. 460-467.

Research output: Contribution to journalArticleScientificpeer-review

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KW - extreme value analysis

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