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Volumn 57, Issue 7, 1998, Pages 3873-3889

Unified approach to the classical statistical analysis of small signals

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EID: 0001340366     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.57.3873     Document Type: Article
Times cited : (3355)

References (25)
  • 1
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    • Reprinted in A Selection of Early Statistical Papers on J. Neyman (University of California Press, Berkeley, 1967), pp. 250–289. See in particular pp. 250–252, 261–268, 285–286, of the reprint. Unfortunately, the quantity which Neyman calls α is precisely what is called (Formula presented) in modern references. We use the adjectives “classical” and “frequentist” synonymously to refer to the theory of these confidence intervals
    • J. Neyman, Philos. Trans. R. Soc. London A236, 333 (1937). Reprinted in A Selection of Early Statistical Papers on J. Neyman (University of California Press, Berkeley, 1967), pp. 250–289. See in particular pp. 250–252, 261–268, 285–286, of the reprint. Unfortunately, the quantity which Neyman calls α is precisely what is called (Formula presented) in modern references. We use the adjectives “classical” and “frequentist” synonymously to refer to the theory of these confidence intervals.
    • (1937) Philos. Trans. R. Soc. London , vol.A236 , pp. 333
    • Neyman, J.1
  • 2
    • 85027538322 scopus 로고    scopus 로고
    • Particle Data Group, R. M. Barnett, Phys. Rev. D 54, 1 (1996). Confidence interval discussion is on pp. 162–166. Neutrino oscillation parameter plot discussion is on pp. 287–288.
    • (1996) Phys. Rev. D , vol.54 , pp. 1
    • Barnett, R.M.1
  • 11
    • 85037251748 scopus 로고    scopus 로고
    • For example, S. Zacks, The Theory of Statistical Inference (Wiley, New York, 1971), p. 529
    • For example, S. Zacks, The Theory of Statistical Inference (Wiley, New York, 1971), p. 529.
  • 12
    • 0002012573 scopus 로고    scopus 로고
    • For a related discussion, see Philip W. Anderson, Phys. Today 45 (1), 9 (1992).
    • Phys. Today , vol.45 , Issue.1 , pp. 9
  • 13
    • 85037211778 scopus 로고    scopus 로고
    • Harold Jeffreys, Theory of Probability, 3rd ed. (Clarendon, Oxford, 1983). See in particular pp. 135–138
    • Harold Jeffreys, Theory of Probability, 3rd ed. (Clarendon, Oxford, 1983). See in particular pp. 135–138.
  • 15
    • 85037208115 scopus 로고    scopus 로고
    • A. Stuart and J. K. Ord, Classical Inference and Relationship, 5th ed., Kendall’s Advanced Theory of Statistics, Vol. 2 (Oxford University Press, New York, 1991);, see also earlier editions by Kendall and Stuart
    • A. Stuart and J. K. Ord, Classical Inference and Relationship, 5th ed., Kendall’s Advanced Theory of Statistics, Vol. 2 (Oxford University Press, New York, 1991);see also earlier editions by Kendall and Stuart.
  • 16
    • 85037207279 scopus 로고    scopus 로고
    • H. Jeffreys, J. R. Stat. Soc. Series A 186, 453 (1946);, G. E. P. Box and G. C. Tiao, Bayesian Inference and Statistical Analysis (Addison-Wesley, Reading, MA, 1973) (see in particular pp. 25–46)
    • H. Jeffreys, J. R. Stat. Soc. Series A 186, 453 (1946);G. E. P. Box and G. C. Tiao, Bayesian Inference and Statistical Analysis (Addison-Wesley, Reading, MA, 1973) (see in particular pp. 25–46);
  • 23
    • 4243355140 scopus 로고
    • B. Kayser, Phys. Rev. D 24, 110 (1981) and references therein.
    • (1981) Phys. Rev. D , vol.24 , pp. 110
    • Kayser, B.1


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