Assigning uncertainties to scientific data

Nuclear Science and Engineering

Volumn 126, Issue 1, 1997, Pages 1-18

  Frohner F H ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001769735     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE97-A24453     Document Type: Article

References (52)

1. J. BERNOULLI, Ars Conjectandi, Thurnisiorum, Basel (1713); reprinted in Die Werke von Jakob Bernoulli, Birkhäuser, Basel (1975).
2. J. BERNOULLI, Ars Conjectandi, Thurnisiorum, Basel (1713); reprinted in Die Werke von Jakob Bernoulli, Birkhäuser, Basel (1975).
3. P. S. LAPLACE, Théorie analytique des probabilités, Courcier, Paris (1812); reprinted in Oeuvres complètes, Gauthiers-Villars, Paris (1878-1912).
4. P. S. LAPLACE, Théorie analytique des probabilités, Courcier, Paris (1812); reprinted in Oeuvres complètes, Gauthiers-Villars, Paris (1878-1912).
5. F. G. DUNNINGTON, "The Atomic Constants," Rev. Mod. Phys., 11, 65 (1939).
6. E. R. COHEN, K. M. CROWE, and J. W. M. DU MOND, Fundamental Constants of Physics, Interscience, New York (1957); see also E. R. COHEN and B. N. TAYLOR, "The Fundamental Physical Constants," Phys. Today, BG9 (Aug. 1992).
7. E. R. COHEN, K. M. CROWE, and J. W. M. DU MOND, Fundamental Constants of Physics, Interscience, New York (1957); see also E. R. COHEN and B. N. TAYLOR, "The Fundamental Physical Constants," Phys. Today, BG9 (Aug. 1992).
8. P. GIACOMO, "On the Expression of Uncertainties," Quantum Metrology and Fundamental Physical Constants, P. H. CUTLER and A. A. LUCAS, Eds., Plenum Press, London (1983).
9. T. BAYES, "An Essay Toward Solving a Problem in the Doctrin of Chances," Phil. Trans. Roy. Soc., 53, 370(1763); reprinted in E. S. PEARSON and M. G. KENDALL, Studies in the History of Statistics and Probability, Hafner, Darien, Connecticut (1970).
10. T. BAYES, "An Essay Toward Solving a Problem in the Doctrin of Chances," Phil. Trans. Roy. Soc., 53, 370(1763); reprinted in E. S. PEARSON and M. G. KENDALL, Studies in the History of Statistics and Probability, Hafner, Darien, Connecticut (1970).
11. M. TRIBUS, Rational Descriptions, Decisions and Designs, Pergamon, New York (1969).
12. E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
13. E. T. JAYNES, "Confidence Intervals vs. Bayesian Intervals," Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science, W. L. HARPER and C. A. HOOKER, Eds., Reidel, Dordrecht, Netherlands (1976); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, Reidel, Dordrecht (1983).
14. E. T. JAYNES, "Confidence Intervals vs. Bayesian Intervals," Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science, W. L. HARPER and C. A. HOOKER, Eds., Reidel, Dordrecht, Netherlands (1976); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, Reidel, Dordrecht (1983).
15. T. J. LOREDO, "From Laplace to Supernova SN 1987A: Bayesian Inference in Astrophysics," Maximum Entropy and Bayesian Methods, P. F. FOUGÈRE, Ed., Kluver, Dordrecht, Netherlands (1990).
16. J. M. BERNARDO and A. F. M. SMITH, Bayesian Theory, Wiley, Chichester, England (1994).
17. R. T. COX, "Probability, Frequency and Reasonable Expectation," Am. J. Phys., 14, 1 (1946).
18. L. RÉNYI, Valószinüségszámitás ("Probability Calculus."), Budapest (1954); presented in slightly generalized form by J. ACZEL, Lectures on Functional Equations and Their Applications, Sec. 7.1.4, Academic Press, New York (1964).
19. L. RÉNYI, Valószinüségszámitás ("Probability Calculus."), Budapest (1954); presented in slightly generalized form by J. ACZEL, Lectures on Functional Equations and Their Applications, Sec. 7.1.4, Academic Press, New York (1964).
20. E. SCHRÖDINGER, "The Foundation of the Theory of Probability," Proc. R. Irish Acad., 51A, 141 (1947); reprinted in Gesammelte Abhandlungen, Vol. 1, p. 463, Vienna (1984).
21. E. SCHRÖDINGER, "The Foundation of the Theory of Probability," Proc. R. Irish Acad., 51A, 141 (1947); reprinted in Gesammelte Abhandlungen, Vol. 1, p. 463, Vienna (1984).
22. A. WALD, Statistical Decision Functions, Wiley, New York (1950).
23. M. H. DE GROOT, Optimal Statistical Decisions, McGraw-Hill, New York (1970).
24. J. O. BERGER, Statistical Decision Theory and Bayesian Analysis, Springer, New York (1985).
25. L. J. SAVAGE, The Foundations of Statistics, Wiley, New York (1954); see also The Foundations of Statistical Inference, Methuen, London (1962).
26. L. J. SAVAGE, The Foundations of Statistics, Wiley, New York (1954); see also The Foundations of Statistical Inference, Methuen, London (1962).
27. H. JEFFREYS, Theory of Probability, Clarendon Press, Oxford (1939).
28. E. T. JAYNES, "Prior Probabilities," IEEE Trans. Syst. Cybern., SSC-4, 227 (1968); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
29. E. T. JAYNES, "Prior Probabilities," IEEE Trans. Syst. Cybern., SSC-4, 227 (1968); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
30. F. G. PEREY, "Application of Group Theory to Data Reduction," ORNL-5908, Oak Ridge National Laboratory (1978).
31. M. HAMERMESH, Group Theory and Its Applications to Physical Problems, Addison-Wesley, Reading, Massachusetts (1962).
32. E. T. JAYNES, "Information Theory and Statistical Mechanics," Phys. Rev., 106, 620 (1957) and 108, 171 (1957); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
33. E. T. JAYNES, "Information Theory and Statistical Mechanics," Phys. Rev., 106, 620 (1957) and 108, 171 (1957); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
34. E. T. JAYNES, "Information Theory and Statistical Mechanics," Phys. Rev., 106, 620 (1957) and 108, 171 (1957); reprinted in E. T. JAYNES, Papers on Probability, Statistics, and Statistical Physics, R. D. ROSENCRANTZ, Ed., Reidel, Dordrecht, Netherlands (1983).
35. J. W. GIBBS, Elementary Principles in Statistical Mechanics, Yale University Press, New Haven, Connecticut (1902).
36. C. E. SHANNON, "A Mathematical Theory of Communication, " Bell Systems Technol. J., 27, 379 (1948); reprinted in C. E. SHANNON and W. WEAVER, The Mathematical Theory of Communication, University of Illinois Press, Urbana, Illinois (1949).
37. C. E. SHANNON, "A Mathematical Theory of Communication, " Bell Systems Technol. J., 27, 379 (1948); reprinted in C. E. SHANNON and W. WEAVER, The Mathematical Theory of Communication, University of Illinois Press, Urbana, Illinois (1949).
38. G. A. KORN and T. M. KORN, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).
39. F. H. FRÖHNER, "Once Again, How Many Reactor Accidents?" Nature, 326, 834 (1987).
40. D. HUME, An Inquiry Concerning Human Understanding, Clarendon Press, Oxford (1777).
41. F. H. FRÖHNER, "Principles and Techniques of Data Evaluation," KfK 4099, Kernforschungszentrum Karlsruhe (1986).
42. 58Ni + n Transmission, Differential Elastic Scattering, and Capture Cross Section Measurements and Analysis Up to 813 keV," Phys. Rev., C47, 1143 (1993).
43. D. SHALITIN, J. J. WAGSCHAL, and Y. YEIVIN, "A Contribution to the Theory of Reactor Pressure Vessel Dosimetry," Reactor Dosimetry: Methods, Applications, and Standardization, H. FARRAR IV and E. P. LIPPINGCOTT, Eds., American Society for Testing and Materials, Philadelphia, Pennsylvania (1989).
44. R. L. PEREL, J. J. WAGSCHAL, and Y. YEIVIN, "Analysis of Experimental Data, a General Review with Particular Reference to Monte Carlo Evaluation of Sensitivities," Reactor Physics and Reactor Computations, p. 15, Y. RONEN and E. ELIAS, Eds., Ben-Gurion University of the Negev Press, Beer-Sheva, Israel (1994).
45. F. G. PEREY, "Covariance Matrices of Experimental Data," Proc. Int. Conf. Neutron Physics, Harwell, Paris, 1978, Organization for Economic Cooperation and Development.
46. W. P. POENITZ, "Data Interpretation, Objective Evaluation Procedures and Mathematical Techniques for the Evaluation of Energy-Dependent Ratio, Shape and Cross Section Data," Proc. Conf. Nuclear Data Evaluation Methods and Procedures, BNL-NCS-51363, Vol. I, p. 249, Brookhaven National Laboratory (1981).
47. "ENDF-102, Data Formats and Procedures for the Evaluated Nuclear Data File, ENDF-6," BNL-NCS-44945, P. F. ROSE and C. L. DUNFORD, Eds., Brookhaven National Laboratory (1990).
48. D. L. SMITH, Probability, Statistics and Data Uncertainties in Nuclear Science and Technology, American Nuclear Society, La Grange Park, Illinois (1991).
49. F. H. FRÖHNER, "Assignment of Uncertainties to Scientific Data," Reactor Physics and Reactor Computations, p. 287, Y. RONEN and E. ELIAS, Eds., Ben-Gurion University of the Negev Press, Beer-Sheva, Israel (1994).
50. G. D'AGOSTINI, "On the Use of the Covariance Matrix to Fit Correlated Data," Nucl. Instrum. Methods, A346, 306 (1994).
51. W. P. POENITZ and A. D. CARLSON, "The Data Base of the Standards and Related Cross Sections After ENDF/ B-VI," Proc. Symp. Nuclear Data Evaluation Methodology, Brookhaven, 1992, p. 209, C. L. DUNFORD, Ed., World Scientific, Singapore (1993).
52. F. H. FRÖHNER, "Bayesian Evaluation of Discrepant Data," Maximum Entropy and Bayesian Methods, p. 467, J. SKILLING, Ed., Reidel, Dordrecht, Netherlands (1989).