Titlebook: Advances in Theoretical and Applied Statistics; Nicola Torelli,Fortunato Pesarin,Avner Bar-Hen Book 2013 Springer-Verlag Berlin Heidelberg

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Literature in the Southern DynastiesData depth is a rapidly growing area in nonparametric statistics, especially suited for the analysis of multidimensional data. This chapter covers influence functions and robustness, depth-based dispersion measures, and a generalization of the basic notion of depth function, called local depth, able to deal with multimodal data.

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https://doi.org/10.1007/3-540-54938-2In this chapter the autodependogram is contextualized in model diagnostic checking for nonlinear models by studying the lag-dependencies of the residuals. Simulations are considered to evaluate its effectiveness in this context. An application to the Swiss Market Index is also provided.

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Robustness, Dispersion, and Local Functions in Data DepthData depth is a rapidly growing area in nonparametric statistics, especially suited for the analysis of multidimensional data. This chapter covers influence functions and robustness, depth-based dispersion measures, and a generalization of the basic notion of depth function, called local depth, able to deal with multimodal data.