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Activity Number: 231
Type: Contributed
Date/Time: Tuesday, August 5, 2008 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #300575
Title: Identifiability of Bivariate Mixtures: An Application to Infant Mortality Models
Author(s): Eric Y. Frimpong*+ and Timothy B. Gage and Howard Stratton
Companies: University at Albany and University at Albany and University at Albany
Address: Arts & Sciences Building, Room 237 , Albany, NY, 12222,
Keywords: Mixture models ; Latent subgroups ; Identifiability ; infant mortality ; birth weight
Abstract:

Identifiability of the parameters for a Mixture of Bivariate Densities (MBD) in the form $f(x,y;\beta,\theta,\pi)=\pi f(y|x;\beta_1)f(x;\theta_1)+(1-\pi)f(y|x;\beta_2)f(x;\theta_2)$ is considered. Particular attention is given to $\theta_1\ne\theta_2$ (i.e. marginal of $x$ is a nondegenerate mixture). Characterizations of identifiability that includes extensions of Hennig (2000), Hunter (2007) and Gage (2004) models are given. These identified models are applied to characterize latent subpopulations related to infant mortality and survival in several NCHS linked Birth/Death data sets.


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