L'analyse harmonique qualitative et son application à la typologie des trajectoires individuelles

The article aims at a theoretical and practical presentation «nonominal harmonic analysis» as a tool for descriptive statistic of categorical stochastic processes and its application to human mobility studies. The first part is a mathematical overview of the extension of scalar spectral analysis to...

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Detalhes bibliográficos
Publicado no:URI:https://journals.openedition.org/msh,
Auteurs principaux: Barbary, Olivier, Pinzon Sarmiento, Luz-Mary
Formato: Article ou chapitre numérique
Idioma:Français
Publicado em: Mathématiques et sciences humaines 2006
Acesso em linha:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Descrição
Resumo:The article aims at a theoretical and practical presentation «nonominal harmonic analysis» as a tool for descriptive statistic of categorical stochastic processes and its application to human mobility studies. The first part is a mathematical overview of the extension of scalar spectral analysis to a categorical process and how it can be approximate by a particular kind of correspondences analysis based on times that individuals accumulate in the process states. The second and third parts deal with application to a data set taken from a survey on residential mobility in Bogota metropolitan area. We found the method able to provide an interesting typology of urban residential trajectories and to show some relationships between residential mobility and other biographical variables like family events and professional changes.