A numerical implementation of the maximum-likelihood method of parameter estimation for tracer-kinetic data

Joanne Markham, Donald L. Snyder, Jerome R. Cox

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The performance is compared of several nonlinear optimization techniques applied to the maximum-likelihood function for Poisson-distributed radiotracer data having a multiexponential intensity function. A new method is described in which the Fisher information matrix associated with the data is employed in place of the Hessian matrix to insure non-negative-definiteness. This method reaches a solution in a few iterations for a wide spread in initial parameter estimates. Moreover, it is more accurate and simple computationally than least-squares techniques currently in use.

Original languageEnglish
Pages (from-to)275-300
Number of pages26
JournalMathematical Biosciences
Volume28
Issue number3-4
DOIs
StatePublished - 1976

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