Setting Confidence Intervals for Bounded Parameters

Statistical Science

Volumn 17, Issue 2, 2002, Pages 149-172

  Mandelkern, Mark ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Confidence bounds; Gaussian with boundary; Poisson with background

Indexed keywords

EID: 0041419382     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/ss/1030550859     Document Type: Article

References (23)

1. ABDURASHITOV, J. N., et al. (1999). Measurement of the solar neutrino capture rate by SAGE and implications for neutrino oscillations in vacuum. Phys. Rev. Lett. 83 4686-4689.
2. AHMAD, Q. R., et al. (2002). Direct evidence for neutrino flavor transformation from neutral-current interactions in the Sudbury Neutrino Observatory. Phys. Rev. Lett. 89 011301.
3. ALTMANN, M. et al. (2000). GNO solar neutrino observations: Results for GNO I. Phys. Lett. B 490 16-26.
4. e neutrino oscillations from the LSND experiment. Phys. Rev. Lett. 81 1774-1777.
5. CIAMPOLILLO, S. (1998). Small signal with background: Objective confidence intervals and regions for physical parameters from the principle of maximum likelihood. Il Nuovo Cimento 111A 1415-1430.
6. CLEVELAND, B. T., et al. (1998). Measurement of the solar electron neutrino flux with the Homestake chlorine detector. Astrophysical J. 496 505-526.
7. COUSINS, R. D. (2000). Comment on "Improved probability method for estimating signal in the presence of background," by B. P. Roe and M. B. Woodroofe. Phys. Rev. D 62 098301.
8. COX, D. R. and HINKLEY, D. V. (1974). Theoretical Statistics. Chapman and Hall, London.
9. e with KARMEN. Available at arXiv/hep-ex/9809007.
10. FELDMAN, G. J. and COUSINS, R. D. (1998). Unified approach to the classical statistical analysis of small signals. Phys. Rev. D 57 3873-3889.
11. FUKUDA, Y. et al. (1998). Evidence for oscillations of atmospheric neutrinos. Phys. Rev. Lett. 81 1562-1567.
12. 8B and hep neutrino measurements from 1258 days of Super-Kamiokande data. Phys. Rev. Lett. 86 5651-5655. Constraints on neutrino oscillations using 1258 days of Super-Kamiokande solar neutrino data. Phys. Rev. Lett. 86 5656-5660.
13. 8B and hep neutrino measurements from 1258 days of Super-Kamiokande data. Phys. Rev. Lett. 86 5651-5655. Constraints on neutrino oscillations using 1258 days of Super-Kamiokande solar neutrino data. Phys. Rev. Lett. 86 5656-5660.
14. GIUNTI, C. (1999). New ordering principle for the classical statistical analysis of Poisson processes with background. Phys. Rev. D 59 053001.
15. LOBASHEV, V. M., et al. (1999). Direct search for mass of neutrino and anomaly in the tritium beta spectrum. Phys. Lett. B 460 227-235.
16. MANDELKERN, M. and SCHULTZ, J. (2000a). The statistical analysis of Gaussian and Poisson signals near physical boundaries. J. Math. Phys. 41 5701-5709.
17. MANDELKERN, M. and SCHULTZ, J. (2000b). Coverage of confidence intervals based on conditional probability. J. High Energy Phys. (11) 036.
18. NEYMAN, J. (1937). Outline of a theory of statistical estimation based on the classical theory of probability. Philos. Trans. Roy. Soc. London Ser. A 236 333-380.
19. OREAR, J. (1958, 1982). Notes on statistics for physicists. Lab. for Nuclear Studies, Cornell University, CLNS 82/511. Revised version of UCRL-8417 distributed in 1958 by the Lawrence Berkeley Laboratory.
20. PERLMAN, M. D. and WU, L. (1999). The emperor's new tests (with discussion). Statist. Sci. 14 355-381.
21. PRATT, J. W. (1961). Length of confidence intervals. J. Amer. Statist. Assoc. 56 549-567.
22. ROE, B. P. and WOODROOFE, M. B. (1999). Improved probability method for estimating signal in the presence of background. Phys. Rev. D 60 053009.
23. ROE, B. P. and WOODROOFE, M. B. (2001). Setting confidence belts. Phys. Rev. D 63 013009.