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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 5 — Mar. 11, 2013
  • pp: 6061–6075

Statistical properties of amplitude and decay parameter estimators for fluorescence lifetime imaging

Jeongtae Kim and Jiyeong Seok  »View Author Affiliations


Optics Express, Vol. 21, Issue 5, pp. 6061-6075 (2013)
http://dx.doi.org/10.1364/OE.21.006061


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Abstract

We analyze the statistical properties of the maximum likelihood estimator, least squares estimator, and Pearson’s χ2-based and Neyman’s χ2-based estimators for the estimation of decay constants and amplitudes for fluorescence lifetime imaging. Our analysis is based on the linearization of the gradient of the objective functions around true parameters. The analysis shows that only the maximum likelihood estimator based on the Poisson likelihood function yields unbiased and efficient estimation. All other estimators yield either biased or inefficient estimations. We validate our analysis by using simulations.

© 2013 OSA

OCIS Codes
(100.3190) Image processing : Inverse problems
(180.2520) Microscopy : Fluorescence microscopy
(300.6280) Spectroscopy : Spectroscopy, fluorescence and luminescence

ToC Category:
Microscopy

History
Original Manuscript: January 3, 2013
Revised Manuscript: February 23, 2013
Manuscript Accepted: February 24, 2013
Published: March 4, 2013

Virtual Issues
Vol. 8, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Jeongtae Kim and Jiyeong Seok, "Statistical properties of amplitude and decay parameter estimators for fluorescence lifetime imaging," Opt. Express 21, 6061-6075 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-5-6061


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