Parameter Estimate

  • Luca Lista
Part of the Lecture Notes in Physics book series (LNP, volume 941)


This chapter describes how to determine unknown parameters of some probability distribution by sampling the values of random variables that follow such distribution. In physics this procedure is applied when measuring some parameters from an experimental data sample. A typical case is an experiment at a particle collider recording multiple collision events for further analysis.


  1. 1.
    Cramér, H.: Mathematical Methods of Statistics. Princeton University Press, Princeton (1946)zbMATHGoogle Scholar
  2. 2.
    Rao, C.R.: Information and the accuracy attainable in the estimation of statistical parameters. Bull. Calcutta Math. Soc. 37, 8189 (1945)MathSciNetGoogle Scholar
  3. 3.
    Eadie, W., Drijard, D., James, F., Roos, M., Saudolet, B.: Statistical Methods in Experimental Physics. North Holland, London (1971)Google Scholar
  4. 4.
    James, F., Roos, M.: Minuit: Function minimization and error analysis. CERN Computer Centre Program Library, Geneve Long Write-up No. D506 (1989)Google Scholar
  5. 5.
    Brun, R., Rademakers, F.: Root—an object oriented data analysis framework. In: Proceedings AIHENP96 Workshop, Lausanne (1996) Nucl. Inst. Meth. A389, 81–86 (1997)
  6. 6.
    Baker, S., Cousins, R.: Clarification of the use of chi-square and likelihood functions in fit to histograms. Nucl. Instrum. Methods A221, 437–442 (1984)CrossRefGoogle Scholar
  7. 7.
    Barlow, R.: Asymmetric errors. In: Proceedings of PHYSTAT2003, SLAC, Stanford (2003)
  8. 8.
    Barlow, R.: Asymmetric statistical errors, arXiv:physics/0406120vl (2004)Google Scholar
  9. 9.
    Barlow, R.: Asymmetric systematic errors, arXiv:physics/0306138 (2003)Google Scholar
  10. 10.
    D’Agostini, G.: Asymmetric uncertainties sources, treatment and potential dangers. arXiv:physics/0403086 (2004)Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Luca Lista
    • 1
  1. 1.INFN Sezione di NapoliNapoliItaly

Personalised recommendations