Probability plots and order statistics of the standard extreme value distribution

Research output: Contribution to specialist publication or newspaperSpecialist publication articlePopular science

Abstract

A comparison between the ordinary least-squares estimator and the weighted least-squares estimator when the data set arises from the standard extreme value distribution is provided. Probability plot of the extreme value distribution is applied. A goodness-of-fit test of the standard extreme value distribution is introduced. The percentage points of the test statistic are investigated. The results of power study for the test statistic under various alternatives show that in most situations the proposed test statistic serves as well as do competing alternatives.
Original languageEnglish
Pages257-267
Volume25
No.2
Specialist publicationComputational Statistics
PublisherPhysica Verlag
DOIs
Publication statusPublished - 2010

Subject classification (UKÄ)

  • Probability Theory and Statistics

Free keywords

  • Mean and variances and covariance of order statistics - Probability plot - Standard extreme value distribution - Weighted least-squares estimator

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