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The International Journal of Biostatistics

Ed. by Chambaz, Antoine / Hubbard, Alan E. / van der Laan, Mark J.


IMPACT FACTOR 2018: 1.309

CiteScore 2018: 1.11

SCImago Journal Rank (SJR) 2018: 1.325
Source Normalized Impact per Paper (SNIP) 2018: 0.715

Mathematical Citation Quotient (MCQ) 2018: 0.03

Online
ISSN
1557-4679
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A Corrected Likelihood Approach for the Nonlinear Transformation Model with Application to Fluorescence Lifetime Measurements Using Exponential Mixtures

Tabea Rebafka / François Roueff / Antoine Souloumiac
Published Online: 2010-03-16 | DOI: https://doi.org/10.2202/1557-4679.1189

A fast and efficient estimation method is proposed that compensates the distortion in nonlinear transformation models. A likelihood-based estimator is developed that can be computed by an EM-type algorithm. The consistency of the estimator is shown and its limit distribution is provided. The new estimator is particularly well suited for fluorescence lifetime measurements, where only the shortest arrival time of a random number of emitted fluorescence photons can be detected and where arrival times are often modeled by a mixture of exponential distributions. The method is evaluated on real and synthetic data. Compared to currently used methods in fluorescence, the new estimator should allow a reduction of the acquisition time of an order of magnitude.

Keywords: pile-up model; nonlinear transformation model; likelihood-based contrast; EM algorithm; time-resolved fluorescence; exponential mixtures

About the article

Published Online: 2010-03-16


Citation Information: The International Journal of Biostatistics, Volume 6, Issue 1, ISSN (Online) 1557-4679, DOI: https://doi.org/10.2202/1557-4679.1189.

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[1]
Tabea Rebafka, François Roueff, and Antoine Souloumiac
Journal of Statistical Planning and Inference, 2011, Volume 141, Number 1, Page 1
[2]
Fabienne Comte and Tabea Rebafka
Journal of Statistical Planning and Inference, 2016, Volume 174, Page 104

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