# Discussion on "Plotting positions for fitting distributions and extreme value analysis"

Lasse Makkonen (Corresponding Author), Matti Pajari, Mari Tikanmäki

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

### Abstract

Plotting positions are used in the extreme value analysis for many engineering applications. The authors of the discussed paper concluded based on their simulations that distribution dependent plotting position formulae provide a better fit to the underlying cumulative distribution than the distribution free Weibull formula. We show here by Monte Carlo simulations following the theory of probability that the opposite is true, and outline that the criteria used in the comparisons made by the authors of discussed paper are inappropriate. Accordingly, the Weibull formula should be used as the unique plotting position.
Original language English 927-929 2 Canadian Journal of Civil Engineering 40 9 https://doi.org/10.1139/cjce-2013-0227 Published - 2013 A1 Journal article-refereed

### Fingerprint

Value engineering
simulation
engineering
Monte Carlo simulation
distribution
analysis

### Keywords

• empirical distribution function
• extreme value analysis
• order-statistics
• plotting positions

### Cite this

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title = "Discussion on {"}Plotting positions for fitting distributions and extreme value analysis{"}",
abstract = "Plotting positions are used in the extreme value analysis for many engineering applications. The authors of the discussed paper concluded based on their simulations that distribution dependent plotting position formulae provide a better fit to the underlying cumulative distribution than the distribution free Weibull formula. We show here by Monte Carlo simulations following the theory of probability that the opposite is true, and outline that the criteria used in the comparisons made by the authors of discussed paper are inappropriate. Accordingly, the Weibull formula should be used as the unique plotting position.",
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author = "Lasse Makkonen and Matti Pajari and Mari Tikanm{\"a}ki",
year = "2013",
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language = "English",
volume = "40",
pages = "927--929",
journal = "Canadian Journal of Civil Engineering",
issn = "0315-1468",
publisher = "National Research Council of Canada",
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Discussion on "Plotting positions for fitting distributions and extreme value analysis". / Makkonen, Lasse (Corresponding Author); Pajari, Matti; Tikanmäki, Mari.

In: Canadian Journal of Civil Engineering, Vol. 40, No. 9, 2013, p. 927-929.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Discussion on "Plotting positions for fitting distributions and extreme value analysis"

AU - Makkonen, Lasse

AU - Pajari, Matti

AU - Tikanmäki, Mari

PY - 2013

Y1 - 2013

N2 - Plotting positions are used in the extreme value analysis for many engineering applications. The authors of the discussed paper concluded based on their simulations that distribution dependent plotting position formulae provide a better fit to the underlying cumulative distribution than the distribution free Weibull formula. We show here by Monte Carlo simulations following the theory of probability that the opposite is true, and outline that the criteria used in the comparisons made by the authors of discussed paper are inappropriate. Accordingly, the Weibull formula should be used as the unique plotting position.

AB - Plotting positions are used in the extreme value analysis for many engineering applications. The authors of the discussed paper concluded based on their simulations that distribution dependent plotting position formulae provide a better fit to the underlying cumulative distribution than the distribution free Weibull formula. We show here by Monte Carlo simulations following the theory of probability that the opposite is true, and outline that the criteria used in the comparisons made by the authors of discussed paper are inappropriate. Accordingly, the Weibull formula should be used as the unique plotting position.

KW - empirical distribution function

KW - extreme value analysis

KW - order-statistics

KW - plotting positions

U2 - 10.1139/cjce-2013-0227

DO - 10.1139/cjce-2013-0227

M3 - Article

VL - 40

SP - 927

EP - 929

JO - Canadian Journal of Civil Engineering

JF - Canadian Journal of Civil Engineering

SN - 0315-1468

IS - 9

ER -