Influential observation in complex normal data for problems in allometry

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

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 9, 2714-2729

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.

Date: 2016
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DOI: 10.1080/03610926.2014.889165

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