Department of Labor Logo United States Department of Labor
Dot gov

The .gov means it's official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you're on a federal government site.


The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Bayesian Nonparametric Joint Model for Point Estimates and Variances

Julie Gershunskaya and Terrance D Savitsky


We propose a joint model for point estimates and their variances when observed variances may
contain bias. The bias in variances for groups of domains may be induced by an estimation procedure, such
the weight smoothing procedure of Beaumont (2008) to compute a domain point estimator. While the
weight-smoothed point estimator is more efficient than the original weighted survey estimator, its variance
estimation procedure requires truncations that induces bias in the domain variance estimator. The proposed
formulation generalizes the joint point estimator and variance models to explicitly parameterize a
multiplicative bias in observed variances under a nonparametric formulation that allows the data to discover distinct bias regimes. As a consequence of the better variance estimation, domain point estimates are more robustly estimated under a joint model for the domain point estimates and their associated variances. We compare the performances of alternative models in application to estimates from the Current EmploymentStatistics survey and in simulations.