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Author (up) Lillo, C.; Leiva, V.; Nicolis, O.; Aykroyd, R.G. pdf  doi
  Title L-moments of the Birnbaum-Saunders distribution and its extreme value version: estimation, goodness of fit and application to earthquake data Type
  Year 2018 Publication Journal Of Applied Statistics Abbreviated Journal J. Appl. Stat.  
  Volume 45 Issue 2 Pages 187-209  
  Keywords GCMT catalogue; Generalized extreme value distributions; goodness-of-fit methods; maximum likelihood and moment estimation; Monte Carlo simulation; R software  
  Abstract Understanding patterns in the frequency of extreme natural events, such as earthquakes, is important as it helps in the prediction of their future occurrence and hence provides better civil protection. Distributions describing these events are known to be heavy tailed and positive skew making standard distributions unsuitable for modelling the frequency of such events. The Birnbaum-Saunders distribution and its extreme value version have been widely studied and applied due to their attractive properties. We derive L-moment equations for these distributions and propose novel methods for parameter estimation, goodness-of-fit assessment and model selection. A simulation study is conducted to evaluate the performance of the L-moment estimators, which is compared to that of the maximum likelihood estimators, demonstrating the superiority of the proposed methods. To illustrate these methods in a practical application, a data analysis of real-world earthquake magnitudes, obtained from the global centroid moment tensor catalogue during 1962-2015, is carried out. This application identifies the extreme value Birnbaum-Saunders distribution as a better model than classic extreme value distributions for describing seismic events.  
  Address [Lillo, Camilo; Leiva, Victor] Univ Adolfo Ibanez, Fac Sci & Engn, Vina Del Mar, Chile, Email:  
  Corporate Author Thesis  
  Publisher Taylor & Francis Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0266-4763 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000417787500001 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 780  
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