Estimation in additive models and ANOVA-like applications

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3 Citations (Scopus)


A well-known property of cumulant generating function is used to estimate the first four order cumulants, using least-squares estimators. In the case of additive models, empirical best linear unbiased predictors are also obtained. Pairs of independent and identically distributed models associated with the treatments of a base design are used to obtain unbiased estimators for the fourth-order cumulants. An application to real data is presented, showing the good behaviour of the least-squares estimators and the great flexibility of our approach.

Original languageEnglish
Pages (from-to)2374-2383
Number of pages10
JournalJournal of Applied Statistics
Issue number13-15(SI)
Publication statusPublished - 17 Nov 2020


  • 62J10
  • 62K99
  • cumulants
  • linear models
  • moments


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