Abstract #301524


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JSM 2002 Abstract #301524
Activity Number: 284
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Stat. Sciences*
Abstract - #301524
Title: Compositional Time Series Analysis Using Dynamic Linear Model
Author(s): Amitabha Bhaumik*+ and Dipak Dey+ and Nalini Ravishanker
Affiliation(s): University of Connecticut and University of Connecticut and University of Connecticut
Address: U-4120, 215 Glenbrook Road, Storrs, Connecticut, 06269, USA U-4120, 215 Glenbrook Road, Storrs, Connecticut, 06269, USA
Keywords: Kalman filtering ; Box-Cox transformation ; Multivariate-t distribution
Abstract:

Compositional data comprises of multivariate observations that are essentially proportions of a whole quantity and occurs frequently in disciplines such as economics, geology, and ecology. Multivariate statistical procedures available in the literature for analyzing such data often lead to incorrect conclusions since they ignore the inherent constrained nature of these observations as parts of a whole. In this article, new techniques to model compositional time series data are described in a Bayesian hierarchical framework employing modified dynamic linear models. The approach is illustrated on compositional time series on world motor vehicle production by Japan, the USA, and all other countries.


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