Estimating Linear Functionals of a PET Image

P. J. Bickel; Y. Ritov

doi:10.1109/42.370404

Estimating Linear Functionals of a PET Image

P. J. Bickel
, Y. Ritov

Department of Statistics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

We discuss the effect of having a finite number of detectors on the estimation of a bounded linear functional of a PET image. We argue that the functional should be estimated directly from the detector counts and give an estimate of the effect of the binning of the counts to order D−2, where D is the number of detectors. We then suggest an estimator that includes a data determined bias correction reducing the bias to o(D−2).

Original language	English
Pages (from-to)	81-87
Number of pages	7
Journal	IEEE Transactions on Medical Imaging
Volume	14
Issue number	1
DOIs	https://doi.org/10.1109/42.370404
State	Published - Mar 1995

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abstract = "We discuss the effect of having a finite number of detectors on the estimation of a bounded linear functional of a PET image. We argue that the functional should be estimated directly from the detector counts and give an estimate of the effect of the binning of the counts to order D−2, where D is the number of detectors. We then suggest an estimator that includes a data determined bias correction reducing the bias to o(D−2).",

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AB - We discuss the effect of having a finite number of detectors on the estimation of a bounded linear functional of a PET image. We argue that the functional should be estimated directly from the detector counts and give an estimate of the effect of the binning of the counts to order D−2, where D is the number of detectors. We then suggest an estimator that includes a data determined bias correction reducing the bias to o(D−2).

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Estimating Linear Functionals of a PET Image

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