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Cramér–Rao bounds: an evaluation tool for quantitation
Author(s) -
Cavassila S.,
Deval S.,
Huegen C.,
van Ormondt D.,
GraveronDemilly D.
Publication year - 2001
Publication title -
nmr in biomedicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.278
H-Index - 114
eISSN - 1099-1492
pISSN - 0952-3480
DOI - 10.1002/nbm.701
Subject(s) - estimator , cramér–rao bound , standard deviation , function (biology) , mathematics , relative standard deviation , point estimation , algorithm , statistics , biological system , detection limit , evolutionary biology , biology
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 bounds