Comparison of the probability plot correlation coefficient test statistics for the general extreme value distribution

Sooyoung Kim, Jun Haeng Heo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A proper probability distribution for estimating a quantile is selected by the goodness of fit tests in frequency analysis. The probability plot correlation coefficient(PPCC) test has been known as powerful and easy test among the goodness of fit tests. Generally, the PPCC test statistics are affected by significance levels, sample sizes, plotting position formulas, and shape parameters in case that a given distribution includes a shape parameter. Therefore, it is important to select an exact plotting position formula for the PPCC test statistics for a given probability distribution. After Cunnane(1978) defined the plotting position that related with the mean of data, many researches have accomplished about the plotting position formulas considered the influence of coefficients of skewness related with shape parameters. In this study, the PPCC test statistics are derived by using a plotting position formula developed from theoretical reduced variates with a term of a coefficient of skewness for the general extreme value(GEV) distribution. In addition, the PPCC test statistics are estimated by considering various sample sizes, significance levels, and shape parameters of the GEV distribution. The performance of derived PPCC test statistics is evaluated by estimating the rejection rate of population from Monte Carlo simulation.

Original languageEnglish
Title of host publicationWorld Environmental and Water Resources Congress 2010
Subtitle of host publicationChallenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010
Pages2456-2466
Number of pages11
DOIs
Publication statusPublished - 2010
EventWorld Environmental and Water Resources Congress 2010: Challenges of Change - Providence, RI, United States
Duration: 2010 May 162010 May 20

Publication series

NameWorld Environmental and Water Resources Congress 2010: Challenges of Change - Proceedings of the World Environmental and Water Resources Congress 2010

Other

OtherWorld Environmental and Water Resources Congress 2010: Challenges of Change
CountryUnited States
CityProvidence, RI
Period10/5/1610/5/20

All Science Journal Classification (ASJC) codes

  • Water Science and Technology

Fingerprint Dive into the research topics of 'Comparison of the probability plot correlation coefficient test statistics for the general extreme value distribution'. Together they form a unique fingerprint.

Cite this