Cramér–Rao bounds: an evaluation tool for quantitation
Top Cited Papers
- 12 June 2001
- journal article
- review article
- Published by Wiley in NMR in Biomedicine
- Vol. 14 (4), 278-283
- https://doi.org/10.1002/nbm.701
Abstract
The Cramér–Rao lower bounds (CRBs) are the lowest possible standard deviations of all unbiased model parameter estimates obtained from the data. Consequently they give insight into the potential performance of quantitation estimators. Using analytical CRB expressions for spectral parameters of singlets and doublets in noise, one is able to judge the precision as a function of spectral and experimental parameters. We point out the usefulness of these expressions for experimental design. The influence of constraints (chemical prior knowledge) on spectral parameters of the peaks of doublets is demonstrated and the inherent benefits for quantitation are shown. Copyright© 2001 John Wiley & Sons, Ltd. Abbreviations used: CRB Cramér‐Rao lower boundsKeywords
Funding Information
- eu (FMRX-CT97-0160)
- Stichting voor Technische Wetenschappen (DTN99.1683)
This publication has 27 references indexed in Scilit:
- Improved methods for exponential parameter estimation in the presence of known poles and noiseIEEE Transactions on Signal Processing, 1997
- Concentrated Cramer-Rao bound expressionsIEEE Transactions on Information Theory, 1994
- A Cramer-Rao lower bound for complex parametersIEEE Transactions on Signal Processing, 1994
- A simple derivation of the constrained multiple parameter Cramer-Rao boundIEEE Transactions on Signal Processing, 1993
- Frequency Estimation for Closely Spaced Sinsoids: Simple Approximations to the Cramer-Rao Lower BoundIEEE Transactions on Signal Processing, 1993
- A compact Cramer-Rao bound expression for parametric estimation of superimposed signalsIEEE Transactions on Signal Processing, 1992
- MUSIC, maximum likelihood, and Cramer-Rao boundIEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
- Improvement of dynamic range in NMR by oversamplingJournal of Magnetic Resonance (1969), 1986
- Error theory for time-domain signal analysis with linear prediction and singular value decompositionJournal of Magnetic Resonance (1969), 1986
- Minimum variance and the estimation of several parametersMathematical Proceedings of the Cambridge Philosophical Society, 1947