Modeling wind energy flux by a Birnbaum-Saunders distribution with an unknown shift parameter

Víctor Leiva, Emilia Athayde, Cecilia Azevedo, Carolina Marchant

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

In this paper, we discuss a Birnbaum-Saunders distribution with an unknown shift parameter and apply it to wind energy modeling. We describe structural aspects of this distribution including properties, moments, mode and hazard and shape analyses. We also discuss estimation, goodness of fit and diagnostic methods for this distribution. A computational implementation in R language of the obtained results is provided. Finally, we apply such results to two unpublished real wind speed data from Chile, which allows us to show the characteristics of this statistical distribution and to model wind energy flux.

Original languageEnglish
Pages (from-to)2819-2838
Number of pages20
JournalJournal of Applied Statistics
Volume38
Issue number12
DOIs
StatePublished - Dec 2011
Externally publishedYes

Keywords

  • ML methods
  • diagnostic and goodness-of-fit techniques
  • hazard analysis
  • moments
  • wind speed

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