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Efficient maximum likelihood estimator fitting of histograms

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Figure 1: Fluorescence lifetime imaging data for Y. pestis constitutively expressing EGFP.

References

  1. 1

    Ross, S.M. Introduction to Probability and Statistics for Engineers and Scientists (Wiley, New York, New York, 1987).

    Google Scholar 

  2. 2

    Turton, D.A., Reid, G.D. & Beddard, G.S. Anal. Chem. 75, 4182–4187 (2003).

    CAS  Article  Google Scholar 

  3. 3

    Marquardt, D.W. J. Soc. Indust. Appl. Math. 11, 431–441 (1963).

    Article  Google Scholar 

  4. 4

    Bunch, D.S., Gay, D.M. & Welsch, R.E. ACM T. Math. Software 19, 109–130 (1993).

    Article  Google Scholar 

  5. 5

    Gay, D.M. & Welsch, R.E. J. Am. Stat. Assoc. 83, 990–998 (1988).

    Article  Google Scholar 

  6. 6

    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.

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Correspondence to Ted A Laurence.

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The authors declare no competing financial interests.

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Supplementary Software

C code for Levenberg-Marquardt minimization of MLE. (ZIP 17 kb)

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Laurence, T., Chromy, B. Efficient maximum likelihood estimator fitting of histograms. Nat Methods 7, 338–339 (2010). https://doi.org/10.1038/nmeth0510-338

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