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References:
B. Efron, Am. Stat.40, 11 (1986).
R.D. Cousins, Am. J. Phys.63, 398 (1995).
A. Stuart and A. K. Ord,Kendall's Advanced Theory of Statistics, Vol. 2Classical Inference and Relationship 5th Ed., (Oxford Univ. Press, 1991), and earlier editions by Kendall and Stuart. The likelihood-ratio ordering principle is described at the beginning of Ch. 23. Chapter 31 compares different schools of statistical inference.
W.T. Eadie, D. Drijard, F.E. James, M. Roos, and B. Sadoulet,Statistical Methods in Experimental Physics (North Holland, Amsterdam and London, 1971).
Workshop on Confidence Limits, CERN, 17–18 Jan. 2000, www.cern.ch/CERN/Divisions/EP/Events/CLW/. See also the later Fermilab workshop linked to the CERN web page.
H. Cramer,Mathematical Methods of Statistics, Princeton Univ. Press, New Jersey (1958).
B.P. Roe,Probability and Statistics in Experimental Physics, (Springer-Verlag, New York, 208 pp., 1992).
G. Cowan,Statistical Data Analysis (Oxford University Press, Oxford, 1998).
W.H. Presset al., Numerical Recipes (Cambridge University Press, New York, 1986).
F. James and M. Roos, “MINUIT, Function Minimization and Error Analysis,” CERN D506 (Long Writeup). Available from the CERN Program Library Office, CERN-IT Division, CERN, CH-1211, Geneva 21, Switzerland.
For a review, see S. Baker and R. Cousins, Nucl. Instrum. Methods221, 437 (1984).
J. Neyman, Phil. Trans. Royal Soc. London, Series A,236, 333 (1937), reprinted inA Selection of Early Statistical Papers on J. Neyman (University of California Press, Berkeley, 1967).
G.J. Feldman and R.D. Cousins, Phys. Rev.D57, 3873 (1998). This paper does not specify what to do if the ordering principle gives equal rank to some values ofx. Eq. 23.6 of Ref. 3 gives the rule: all such points are included in the acceptance region (the domainD(∈)). Some authors have assumed the contrary, and shown that one can then obtain null intervals..
B.P. Roe and M.B. Woodroofe, Phys. Rev.D60, 053009 (1999).
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James, F. Statistics. Eur. Phys. J. C 15, 195–201 (2000). https://doi.org/10.1007/BF02683424
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DOI: https://doi.org/10.1007/BF02683424