Title
Bounds on the Bayes and minimax risk for signal parameter estimation
Abstract
In estimating the parameter θ from a parametrized signal problem (with 0⩽θ⩽L) observed through Gaussian white noise, four useful and computable lower bounds for the Bayes risk are developed. For problems with different L and different signal to noise ratios, some bounds are superior to others. The lower bound obtained from taking the maximum of the four, serves not only as a good lower bound for the Bayes risk but also as a good lower bound for the minimax risks. Threshold behavior of the Bayes risk is also evident, as is shown in the lower bound
Year
DOI
Venue
1993
10.1109/18.243453
Information Theory, IEEE Transactions  
Keywords
Field
DocType
Bayes methods,information theory,minimax techniques,parameter estimation,signal processing,Bayes risk,Gaussian white noise,lower bounds,minimax risk,signal parameter estimation,threshold behaviour
Information theory,Discrete mathematics,Minimax,Upper and lower bounds,Signal-to-noise ratio,White noise,Estimation theory,Gaussian noise,Mathematics,Bayes' theorem
Journal
Volume
Issue
ISSN
39
4
0018-9448
Citations 
PageRank 
References 
3
0.41
3
Authors
2
Name
Order
Citations
PageRank
Brown, L.D.130.41
Liu, R.C.230.41