Interval Estimation for Gumbel Distribution Using Climate Records

  • A. Asgharzadeh
  • M. Abdi
  • S. Nadarajah


The Gumbel distribution is one of the most popular widely used distributions in climate modeling. In this paper, we present exact confidence intervals (CI) and joint confidence regions (JCR) for the parameters of Gumbel distribution based on record data. Exact CI and JCR for the parameters of inverse Weibull distribution are also discussed. Three numerical examples with climate data are presented to illustrate the proposed methods. A simulation study is conducted to study the performance of the proposed CI and region.


Interval estimation Joint confidence region Record data Gumbel distribution 

Mathematics Subject Classification

62F25 62E15 



The authors would like to thank the Editor and the referees for their useful comments which improved the paper.


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Copyright information

© Malaysian Mathematical Sciences Society and Universiti Sains Malaysia 2015

Authors and Affiliations

  1. 1.Department of StatisticsUniversity of MazandaranBabolsarIran
  2. 2.Department of StatisticsHigher Education complex of BamBamIran
  3. 3.School of MathematicsUniversity of ManchesterManchesterUK

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