[Forum SIS] Circular data and data depth - Mario Romanazzi - Seminar_UNICLAM - Cassino

[Giovanni Porzio]

UNIVERSITA' DEGLI STUDI DI CASSINO E DEL LAZIO MERIDIONALE
DIPARTIMENTO DI ECONOMIA E GIURISPRUDENZA

Seminar
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"Nonparametric analysis of directional data based on data depth"

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Mario Romanazzi
Università Ca' Foscari Venezia
Dipartimento di Scienze Ambientali, Informatica e Statistica

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Friday 5 July, 10:00-12:00 Room

Dipartimento di Economia e Giurisprudenza
Via S.Angelo - Località Folcara, 03043 Cassino
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* Abstract:

Data depth is a statistical method whose primary aim is to order data of a
reference space according to centrality. This is particularly  
appealing for directional data because no standard ordering is  
available, not even in the circular case. Moreover, the depth approach  
deals in a natural way with the peculiar aspects of directional data,  
i.e., the lack of a zero-direction and the wrap-around effect. The  
paper reviews the data depth program concentrating on typical  
applications to directional distributions and data. Two geometrical  
depth functions, simplicial depth and Tukey’s depth, are considered.  
Several depth-based summaries, including angular medians, depth  
regions and dispersion parameters are illustrated, the latter with  
some novel results. Examples
cover symmetric and asymmetric distributions as well as real-data  
applications.

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--
Giovanni C. Porzio
Dipartimento di Economia e Giurisprudenza
Università degli Studi di Cassino e del Lazio Meridionale
Via S. Angelo - Localita' Folcara
03043 Cassino (FR) - Italia
tel: +39.0776.2993448

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