Reply to Comments on "Plotting positions in extreme value analysis" by N. Cook

Lasse Makkonen (Corresponding Author)

Research output: Contribution to journalOther journal contributionScientific

5 Citations (Scopus)

Abstract

This reply addresses the use of order statistics in extreme value analysis. The author has previously proposed in this journal that the distribution-dependent estimators of plotting position in extreme value analysis should be abandoned and replaced by the Weibull formula. It was also demonstrated that the use of the wrong plotting positions has resulted in underestimation of the probability of extreme-weather events. Cook’s comments challenge these developments and defend the previously presented plotting methods. In this reply it is outlined that the Weibull formula provides the exact probability PI of nonexceedance in order-ranked data. Hence, there is no sampling error related to PI. This renders Cook’s primary arguments invalid. The specific critical comments by Cook are also replied to and are shown to be unfounded.
Original languageEnglish
Pages (from-to)267-270
Number of pages4
JournalJournal of Applied Meteorology and Climatology
Volume50
DOIs
Publication statusPublished - 2011
MoE publication typeB1 Article in a scientific magazine

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Cite this

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title = "Reply to Comments on {"}Plotting positions in extreme value analysis{"} by N. Cook",
abstract = "This reply addresses the use of order statistics in extreme value analysis. The author has previously proposed in this journal that the distribution-dependent estimators of plotting position in extreme value analysis should be abandoned and replaced by the Weibull formula. It was also demonstrated that the use of the wrong plotting positions has resulted in underestimation of the probability of extreme-weather events. Cook’s comments challenge these developments and defend the previously presented plotting methods. In this reply it is outlined that the Weibull formula provides the exact probability PI of nonexceedance in order-ranked data. Hence, there is no sampling error related to PI. This renders Cook’s primary arguments invalid. The specific critical comments by Cook are also replied to and are shown to be unfounded.",
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year = "2011",
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pages = "267--270",
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publisher = "American Meteorological Society",

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Reply to Comments on "Plotting positions in extreme value analysis" by N. Cook. / Makkonen, Lasse (Corresponding Author).

In: Journal of Applied Meteorology and Climatology, Vol. 50, 2011, p. 267-270.

Research output: Contribution to journalOther journal contributionScientific

TY - JOUR

T1 - Reply to Comments on "Plotting positions in extreme value analysis" by N. Cook

AU - Makkonen, Lasse

PY - 2011

Y1 - 2011

N2 - This reply addresses the use of order statistics in extreme value analysis. The author has previously proposed in this journal that the distribution-dependent estimators of plotting position in extreme value analysis should be abandoned and replaced by the Weibull formula. It was also demonstrated that the use of the wrong plotting positions has resulted in underestimation of the probability of extreme-weather events. Cook’s comments challenge these developments and defend the previously presented plotting methods. In this reply it is outlined that the Weibull formula provides the exact probability PI of nonexceedance in order-ranked data. Hence, there is no sampling error related to PI. This renders Cook’s primary arguments invalid. The specific critical comments by Cook are also replied to and are shown to be unfounded.

AB - This reply addresses the use of order statistics in extreme value analysis. The author has previously proposed in this journal that the distribution-dependent estimators of plotting position in extreme value analysis should be abandoned and replaced by the Weibull formula. It was also demonstrated that the use of the wrong plotting positions has resulted in underestimation of the probability of extreme-weather events. Cook’s comments challenge these developments and defend the previously presented plotting methods. In this reply it is outlined that the Weibull formula provides the exact probability PI of nonexceedance in order-ranked data. Hence, there is no sampling error related to PI. This renders Cook’s primary arguments invalid. The specific critical comments by Cook are also replied to and are shown to be unfounded.

U2 - 10.1175/2010JAMC2533.1

DO - 10.1175/2010JAMC2533.1

M3 - Other journal contribution

VL - 50

SP - 267

EP - 270

JO - Journal of Applied Meteorology and Climatology

JF - Journal of Applied Meteorology and Climatology

SN - 1558-8424

ER -