Sankhya: The Indian Journal of Statistics
1999, Volume 61, Series B, Pt. 3,pp. 469--487
UNIVERSAL OPTIMALITY OF BAYESIAN EXPERIMENTAL DESIGNS AND OPTIMAL DATA AUGMENTATIONS
DULAL K. BHAUMIK, University of South Alabama, Mobile
PRANAB K. SEN, University of North Carolina, Chapel Hill
SUMMARY. In a conventional functional linear model, incorporating a Bayesian experimental design, universal optimality property is studied in the light of Sch\"ur-convexity. Construction of such universally optimal designs in a variety of useful models is presented in a unified manner.
AMS (1991) subject classification. 62k05.
Key words and phrases. Bayes (A-, D-, E-) optimality; eigenvalues; linear (functional) model; Schür-convexity; Schür-optimal design; universal optimality
Full paper (PDF)
This article in Mathematical Reviews