Graphical and Numerical Methods for Detecting Influential Observations in Complex Bingham Data |
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Authors: | Getulio Jose amorim Amaral Olga Patricia reyes Floréz Francisco José A Cysneiros |
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Affiliation: | Departamento de Estatística, Centro de Ciências Exatas e da Natureza , Universidade Federal de Pernambuco , Recife, PE , Brazil |
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Abstract: | We describe methods to detect influential observations in a sample of pre-shapes when the underlying distribution is assumed to be complex Bingham. One of these methods is based on Cook's distance, which is derived from the likelihood of the complex Bingham distribution. Other method is related to the tangent space, which is based on the local influence for the multivariate normal distribution. A method to detect outliers is also explained. The application of the methods is illustrated in both a real dataset and a simulated sample. |
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Keywords: | Complex Bingham distribution Landmarks Local influence Shape analysis |
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