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Influential observation in complex normal data for problems in allometry

Author

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  • A.D.C. Nascimento
  • G.J.A. Amaral
  • B.B. Achic
  • J.T.M. Cruz

Abstract

The aim of this paper is to investigate how some results related to the complex normal distribution are relevant in size and shape analysis. Our main focus is on the derivation of influential measures. In particular, Cook and Kullback–Leibler distances are combined with their respective asymptotic results as well as to an alternative process of defining cut-off points. Some numerical examples illustrate how these measures are used in practice. We perform an application to simulated and actual data. Results provide evidence that the methodology based on Kullback–Leibler distance outperforms one in terms of the Cook classic distance.

Suggested Citation

  • A.D.C. Nascimento & G.J.A. Amaral & B.B. Achic & J.T.M. Cruz, 2016. "Influential observation in complex normal data for problems in allometry," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(9), pages 2714-2729, May.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:9:p:2714-2729
    DOI: 10.1080/03610926.2014.889165
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