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Access through your institution Buy or subscribe To the Editor: Scientists commonly form histograms of counted events from their data, and extract parameters by fitting to a known model.
Anytime a scientist counts photons, molecules, cells or data for individuals in histogram bins and fits that to a distribution, he or she is fitting an event-counting histogram. Here we aim
to convince the scientific community to use the maximum likelihood estimator (MLE) for Poisson deviates when fitting event-counting histograms rather than the typically used least-squares
measure. We describe how to use the MLE to fit data efficiently and robustly, and provide example code (Supplementary Software). This is a preview of subscription content, access via your
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Contact customer support REFERENCES * Ross, S.M. _Introduction to Probability and Statistics for Engineers and Scientists_ (Wiley, New York, New York, 1987). Google Scholar * Turton, D.A.,
Reid, G.D. & Beddard, G.S. _Anal. Chem._ 75, 4182–4187 (2003). Article CAS Google Scholar * Marquardt, D.W. _J. Soc. Indust. Appl. Math._ 11, 431–441 (1963). Article Google Scholar
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Article Google Scholar * Nishimura, G. & Tamura, M. _Phys. Med. Biol._ 50, 1327–1342 (2005). Article Google Scholar Download references ACKNOWLEDGEMENTS This work was performed under
the auspices of the US Department of Energy by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344. AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Physical and Life
Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, California, USA Ted A Laurence & Brett A Chromy Authors * Ted A Laurence View author publications You can also
search for this author inPubMed Google Scholar * Brett A Chromy View author publications You can also search for this author inPubMed Google Scholar CORRESPONDING AUTHOR Correspondence to
Ted A Laurence. ETHICS DECLARATIONS COMPETING INTERESTS The authors declare no competing financial interests. SUPPLEMENTARY INFORMATION SUPPLEMENTARY TEXT AND FIGURES Supplementary Note (PDF
870 kb) SUPPLEMENTARY SOFTWARE C code for Levenberg-Marquardt minimization of MLE. (ZIP 17 kb) RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Laurence,
T., Chromy, B. Efficient maximum likelihood estimator fitting of histograms. _Nat Methods_ 7, 338–339 (2010). https://doi.org/10.1038/nmeth0510-338 Download citation * Issue Date: May 2010
* DOI: https://doi.org/10.1038/nmeth0510-338 SHARE THIS ARTICLE Anyone you share the following link with will be able to read this content: Get shareable link Sorry, a shareable link is not
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