Research output: Contribution to Journal/Magazine › Journal article › peer-review
Bayesian signal estimation. / Mukherjee, Kanchan; Majumdar, Suman.
In: Statistics and Decisions, Vol. 14, 1996, p. 275-293.Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Bayesian signal estimation
AU - Mukherjee, Kanchan
AU - Majumdar, Suman
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
KW - Signal estimation
M3 - Journal article
VL - 14
SP - 275
EP - 293
JO - Statistics and Decisions
JF - Statistics and Decisions
SN - 0721-2631
ER -