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Bayesian signal estimation

Research output: Contribution to journalJournal article

Published

Journal publication date1996
JournalStatistics and Decisions
Volume14
Number of pages19
Pages275-293
Original languageEnglish

Abstract

The problem of Bayesian estimation of a signal contaminated by white noise is
investigated. Restricting the unknown signal to a compact subset of L2([0, 1]), the existence of a unique Bayes estimator for the squared-error loss and its robustness with respect to the prior used are established; for sufficiently diffuse priors, the Bayes estimator is shown to be uniformly L1-consistent.