-
1
-
-
84894206361
-
-
For a recent review, see R.D. Cousins, Treatment of nuisance parameters in high energy physics, and possible justifications and improvements in the statistics literature, in: Proceedings of PhyStat 05: Statistical Problems in Particle Physics, Astrophysics and Cosmology (Oxford, September 12-15, 2005) 〈http://www.physics.ox.ac.uk/phystat05/proceedings/〉. See also the response following by N. Reid.
-
For a recent review, see R.D. Cousins, Treatment of nuisance parameters in high energy physics, and possible justifications and improvements in the statistics literature, in: Proceedings of PhyStat 05: Statistical Problems in Particle Physics, Astrophysics and Cosmology (Oxford, September 12-15, 2005) 〈http://www.physics.ox.ac.uk/phystat05/proceedings/〉. See also the response following by N. Reid.
-
-
-
-
2
-
-
51649098299
-
-
For a comprehensive discussion of hypothesis testing, see A. Stuart, K. Ord, S. Arnold, Kendall's Advanced Theory of Statistics, vol. 2A, sixth ed., Arnold, London, 1999, and earlier editions by Kendall and Stuart. From the formal correspondence between hypothesis tests and confidence intervals in Chapter 20, all the frequentist hypothesis tests in this paper can be restated in terms of confidence intervals and limits.
-
For a comprehensive discussion of hypothesis testing, see A. Stuart, K. Ord, S. Arnold, Kendall's Advanced Theory of Statistics, vol. 2A, sixth ed., Arnold, London, 1999, and earlier editions by Kendall and Stuart. From the formal correspondence between hypothesis tests and confidence intervals in Chapter 20, all the frequentist hypothesis tests in this paper can be restated in terms of confidence intervals and limits.
-
-
-
-
5
-
-
51649114673
-
-
J.T. Linnemann, Measures of significance in HEP and astrophysics, in: Proceedings of PhyStat 2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, SLAC, Stanford, CA, USA, September 8-11, 2003 [arXiv:physics/0312059] 〈http://www.slac.stanford.edu/econf/C030908/papers/MOBT001.pdf〉.
-
J.T. Linnemann, Measures of significance in HEP and astrophysics, in: Proceedings of PhyStat 2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, SLAC, Stanford, CA, USA, September 8-11, 2003 [arXiv:physics/0312059] 〈http://www.slac.stanford.edu/econf/C030908/papers/MOBT001.pdf〉.
-
-
-
-
6
-
-
0039735159
-
-
The figures are missing from the published paper but are in the Ph.D. Thesis of Zhang, who kindly provided them to us.
-
Zhang S.N., and Ramsden D. Exp. Astron. 1 (1990) 145 The figures are missing from the published paper but are in the Ph.D. Thesis of Zhang, who kindly provided them to us.
-
(1990)
Exp. Astron.
, vol.1
, pp. 145
-
-
Zhang, S.N.1
Ramsden, D.2
-
7
-
-
51649085481
-
-
F. James, MINUIT. Function Minimization and Error Analysis 〈http://wwwasdoc.web.cern.ch/wwwasdoc/minuit/minmain.html〉.
-
F. James, MINUIT. Function Minimization and Error Analysis 〈http://wwwasdoc.web.cern.ch/wwwasdoc/minuit/minmain.html〉.
-
-
-
-
11
-
-
51649124418
-
-
K.S. Cranmer, Frequentist hypothesis testing with background uncertainty, in: Proceedings of PhyStat 2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, SLAC, Stanford, CA, USA, September 8-11, 2003 [arXiv:physics/0310108] 〈http://www.slac.stanford.edu/econf/C030908/papers/WEMT004.pdf〉.
-
K.S. Cranmer, Frequentist hypothesis testing with background uncertainty, in: Proceedings of PhyStat 2003: Statistical Problems in Particle Physics, Astrophysics, and Cosmology, SLAC, Stanford, CA, USA, September 8-11, 2003 [arXiv:physics/0310108] 〈http://www.slac.stanford.edu/econf/C030908/papers/WEMT004.pdf〉.
-
-
-
-
12
-
-
84894135513
-
-
b (b in his notation) is known by the experimenter when calculating the rms of the Gaussian but unknown when calculating the mean. This does not cause a significant problem for his example of b = 100 in which he used a self-consistent set of numbers. But for the profile likelihood for the more general Gaussian-mean problem, one must use Eqn. 21 in the present paper (which is consistent with the normal equations used by Ref. [10]).
-
b (b in his notation) is known by the experimenter when calculating the rms of the Gaussian but unknown when calculating the mean. This does not cause a significant problem for his example of b = 100 in which he used a self-consistent set of numbers. But for the profile likelihood for the more general Gaussian-mean problem, one must use Eqn. 21 in the present paper (which is consistent with the normal equations used by Ref. [10]).
-
-
-
-
13
-
-
84862830511
-
-
J. Heinrich, Review of the Banff challenge on upper limits, in: Talk at PHYSTAT-LHC Workshop on Statistical Issues for LHC Physics, CERN, 27-29 June 2007 〈http://phystat-lhc.web.cern.ch/phystat-lhc/〉.
-
J. Heinrich, Review of the Banff challenge on upper limits, in: Talk at PHYSTAT-LHC Workshop on Statistical Issues for LHC Physics, CERN, 27-29 June 2007 〈http://phystat-lhc.web.cern.ch/phystat-lhc/〉.
-
-
-
-
19
-
-
51649099658
-
-
W.H. Press, et al., Numerical Recipes in C, second ed., Cambridge, 1992.
-
W.H. Press, et al., Numerical Recipes in C, second ed., Cambridge, 1992.
-
-
-
-
20
-
-
51649088597
-
-
ROOT, An object-oriented data analysis framework 〈http://root.cern.ch〉.
-
ROOT, An object-oriented data analysis framework 〈http://root.cern.ch〉.
-
-
-
-
21
-
-
0007025295
-
-
See also 〈http://lib.stat.cmu.edu/apstat/63〉
-
Majumder K.L., and Bhattacharjee G.P. Appl. Stat. 22 (1973) 409. http://lib.stat.cmu.edu/apstat/63 See also 〈http://lib.stat.cmu.edu/apstat/63〉
-
(1973)
Appl. Stat.
, vol.22
, pp. 409
-
-
Majumder, K.L.1
Bhattacharjee, G.P.2
-
27
-
-
51649124841
-
-
A. Stuart, J. Keith Ord, Kendall's Advanced Theory of Statistics, Distribution Theory, vol. 1, sixth ed., Arnold, London, 1994 (see also earlier editions by Kendall and Stuart).
-
A. Stuart, J. Keith Ord, Kendall's Advanced Theory of Statistics, Distribution Theory, vol. 1, sixth ed., Arnold, London, 1994 (see also earlier editions by Kendall and Stuart).
-
-
-
-
28
-
-
51649115205
-
-
L. Demortier, private communication, including the pointer to Ref. [24].
-
L. Demortier, private communication, including the pointer to Ref. [24].
-
-
-
-
29
-
-
34249306727
-
-
N and other aspects of this computer program need further study, in our opinion.).
-
N and other aspects of this computer program need further study, in our opinion.).
-
-
-
-
30
-
-
51649085992
-
-
K. Cranmer, B. Mellado, W. Quayle, S.L. Wu, Statistical methods to assess the combined sensitivity of the ATLAS detector to the Higgs Boson in the standard model, ATL-PHYS-2004-034 〈http://cdsweb.cern.ch/record/726480〉; and further comments by Kyle Cranmer, private communication.
-
K. Cranmer, B. Mellado, W. Quayle, S.L. Wu, Statistical methods to assess the combined sensitivity of the ATLAS detector to the Higgs Boson in the standard model, ATL-PHYS-2004-034 〈http://cdsweb.cern.ch/record/726480〉; and further comments by Kyle Cranmer, private communication.
-
-
-
-
31
-
-
51649098658
-
-
J. Linnemann, Upper limits and priors, in: Talk at Workshop on Confidence Limits, Fermilab, 2000 〈http://conferences.fnal.gov/cl2k/copies/linnemann1.pdf〉.
-
J. Linnemann, Upper limits and priors, in: Talk at Workshop on Confidence Limits, Fermilab, 2000 〈http://conferences.fnal.gov/cl2k/copies/linnemann1.pdf〉.
-
-
-
-
34
-
-
51649126909
-
-
H.K. Kim (then a graduate student at Michigan State University), private communication to JTL.
-
H.K. Kim (then a graduate student at Michigan State University), private communication to JTL.
-
-
-
-
40
-
-
51649084977
-
-
Artificial case suggested by an example in Ref. [32].
-
Artificial case suggested by an example in Ref. [32].
-
-
-
-
41
-
-
4243421500
-
-
CDF Collaboration The example uses a dilepton analysis
-
Abe F., et al., CDF Collaboration. Phys. Rev. Lett. 74 (1995) 2626 The example uses a dilepton analysis
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 2626
-
-
Abe, F.1
-
42
-
-
4243435538
-
-
D0 Collaboration
-
Abachi S., et al., D0 Collaboration. Phys. Rev. Lett. 74 (1995) 2422
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 2422
-
-
Abachi, S.1
-
43
-
-
4244105738
-
-
D0 Collaboration
-
Abachi S., et al., D0 Collaboration. Phys. Rev. Lett. 74 (1995) 2632
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 2632
-
-
Abachi, S.1
-
44
-
-
51649127659
-
-
Two artificial examples from Ref. [6].
-
Two artificial examples from Ref. [6].
-
-
-
-
45
-
-
51649105315
-
-
An artificial example with small τ.
-
An artificial example with small τ.
-
-
-
-
48
-
-
0142168116
-
-
Milagro Collaboration
-
Atkins R., et al., Milagro Collaboration. Astrophys. J. 595 (2003) 803
-
(2003)
Astrophys. J.
, vol.595
, pp. 803
-
-
Atkins, R.1
-
49
-
-
0004245694
-
-
Abramowitz M., and Stegun I.A. (Eds), Dover, New York
-
In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions (1968), Dover, New York
-
(1968)
Handbook of Mathematical Functions
-
-
|