Self-consistent Bayesian analysis of space-time symmetry studies

Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Volumn 370, Issue 2-3, 1996, Pages 509-515

  Davis, E D ^a  

^a STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; MONTE CARLO METHODS; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBABILITY;

MAXIMUM A POSTERIOR; MAXIMUM LIKELIHOOD METHOD; SELF CONSISTENT BAYESIAN ANALYSIS; SPACE TIME SYMMETRIES;

NEUTRONS;

EID: 0030080444     PISSN: 01689002     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9002(95)00802-0     Document Type: Article

References (22)

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2. The various proposals are discussed in: N.R. Roberson, C.R. Gould and J.D. Bowman (eds.), Tests of Time Reversal Invariance in Neutron Physics (World Scientific, Singapore, 1987).
3. Progress is reviewed in C.R. Gould, J.D. Bowman and Yu.P. Popov (eds.), Time Reversal Invariance and Parity Violation in neutron reactions (World Scientific, Singapore, 1994).
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12. An expanded discussion of the "maximum likelihood" anlysis is given by J.D. Bowman and E.I. Sharapov, in: Time Reversal Invariance and Parity Violation in neutron reactions, eds. C.R. Gould, J.D. Bowman and Yu.P. Popov (World Scientific, Singapore, 1994) p. 69.
13. A standard reference for physicists on Bayesian statistics is W.T. Eadie, D. Drijard, F.E. James, M. Roos and B. Sadoulet, Statistical Methods in Experimental Physics (North-Holland, Amsterdam, 1971).
14. An excellent review of Bayesian methodology and its application to nuclear data evaluation is given by F.H. Fröhner, in: Data Uncertainty, Sensitivities, Consistency and Adjustment, eds. H. Rief, and Y. Yeivin (Reidel, Dordrecht, 1989).
15. A readily digestible introduction to Bayesian methods is given by H.F. Martz and R.A. Waller, in: Methods of Experimental Physics, Volume 28: Statistical Methods for Physical Science, eds. J.L. Stanford and S.B. Vardeman (Academic Press, San Diego, 1994) p. 403. We adopt the terminology of this reference.
16. A (point) estimator of a parameter θ is biased if its expectation value does not coincide with the value of θ. An estimator with a smaller variance is more efficient than one with a larger variance. A compact and readable introduction to estimators and their characterisation appears in B.R. Martin, Statistics for Physicists (Academic Press, New York, 1971) chap. 7. An authorative reference would be M.G. Kendall and A. Stuart, The Advanced Theory of Statistics, 3rd Ed. (Griffin, London, 1973) vol. 2, chap. 17.
17. A (point) estimator of a parameter θ is biased if its expectation value does not coincide with the value of θ. An estimator with a smaller variance is more efficient than one with a larger variance. A compact and readable introduction to estimators and their characterisation appears in B.R. Martin, Statistics for Physicists (Academic Press, New York, 1971) chap. 7. An authorative reference would be M.G. Kendall and A. Stuart, The Advanced Theory of Statistics, 3rd Ed. (Griffin, London, 1973) vol. 2, chap. 17.
18. E.T. Jaynes, IEEE Trans. Systems Science and Cybernetics, SSC-4 (1968) 227. This paper is reprinted in E.T. Jaynes, in: Papers on Probability. Statistics and Statistical Physics, ed. R.D. Rosenkrantz (Reidel, Dordrecht, 1983) p. 116.
19. E.T. Jaynes, IEEE Trans. Systems Science and Cybernetics, SSC-4 (1968) 227. This paper is reprinted in E.T. Jaynes, in: Papers on Probability. Statistics and Statistical Physics, ed. R.D. Rosenkrantz (Reidel, Dordrecht, 1983) p. 116.
20. F. Corvi, F. Gunsing, K. Athanassopulos, H. Postma and A. Mauri, in: Time Reversal Invariance and Parity Violation in Neutron Reactions, eds. C.R. Gould, J.D. Bowman and Yu.P. Popov (World Scientific, Singapore, 1994) p. 79.
21. m = 2 meV. The value drawn is accepted if it exceeds 0.1 meV.
22. E.D. Davis, submitted to Phys. Lett. B.