## Identifiability of Bivariate Mixtures: An Application to Infant Mortality Models

Eric Frimpong, *University at Albany, State University of New York (SUNY)*

Timothy B. Gage, *University at Albany, State University of New York (SUNY)*

Howard Stratton, *University at Albany, State University of New York (SUNY)*

Identifiability of the parameters for a Mixture of Bivariate
Densities (MBD) in the form
f(x,y;φ,θ,π)=πf(y|x;φ1)f(x;θ1)+ (1-π)f(y|x;φ2)f(x;θ2)
is considered. Particular attention is given to θ1≠θ2 (i.e.
marginal of x is a nondegenerate mixture). Characterzations
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.

Presented in Poster Session 6