Article citationsMore>>

H. P. Hazuda, S. M. Haffner, M. P. Stern and C. W. Eifler, “Effects of Acculturation and Socioeconomic Status on Obesity and Diabetes in Mexican Americans: The San Antonio Heart Study,” American Journal of Epidemiology, Vol. 128, No. 6, 1988, pp. 1289-1301.

has been cited by the following article:

• TITLE: A Kullback-Leibler Divergence for Bayesian Model Diagnostics

  AUTHORS: Chen-Pin Wang, Malay Ghosh

  KEYWORDS: Kullback-Leibler Distance, Model Diagnostic, Weighted Posterior Predictive P-Value

  JOURNAL NAME: Open Journal of Statistics, Vol.1 No.3, October 20, 2011

  ABSTRACT: This paper considers a Kullback-Leibler distance (KLD) which is asymptotically equivalent to the KLD by Goutis and Robert [1] when the reference model (in comparison to a competing fitted model) is correctly specified and that certain regularity conditions hold true (ref. Akaike [2]). We derive the asymptotic property of this Goutis-Robert-Akaike KLD under certain regularity conditions. We also examine the impact of this asymptotic property when the regularity conditions are partially satisfied. Furthermore, the connection between the Goutis-Robert-Akaike KLD and a weighted posterior predictive p-value (WPPP) is established. Finally, both the Goutis-Robert-Akaike KLD and WPPP are applied to compare models using various simulated examples as well as two cohort studies of diabetes.