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

By

DULAL K. BHAUMIK, University of South Alabama, Mobile

and

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

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