4.4 Article

ON SPATIAL EXTREMES: WITH APPLICATION TO A RAINFALL PROBLEM

Journal

ANNALS OF APPLIED STATISTICS
Volume 2, Issue 2, Pages 624-642

Publisher

INST MATHEMATICAL STATISTICS
DOI: 10.1214/08-AOAS159

Keywords

Spatial extremes; max-stable process; areal reduction factor

Funding

  1. FCT [PTDC/MAT/64924/2006]
  2. Fundação para a Ciência e a Tecnologia [PTDC/MAT/64924/2006] Funding Source: FCT

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We consider daily rainfall observations at 32 stations in the province of North Holland (the Netherlands) during 30 years. Let T be the total rainfall in this area on one day. An important question is: what is the amount of rainfall T that is exceeded once in 100 years? This is clearly a problem belonging to extreme value theory. Also, it is a genuinely spatial problem. Recently, a theory of extremes of continuous stochastic processes has been developed. Using the ideas of that theory and much computer power (simulations), we have been able to come up with a reasonable answer to the question above.

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