Skip to main content
Log in

On the detection of rare, and moderately rare, nuclear events

  • QA/AC and Radiological Emergency Response Measurements
  • Published:
Journal of Radioanalytical and Nuclear Chemistry Aims and scope Submit manuscript

Abstract

Some of the more important developments in science and practical demands in commerce have been linked to attempts to detect rare events and rare contaminants, ranging from the early “counting” of solar neutrinos to the occurrence of dodder seeds in clover. For moderately rare events (≈5 to 50 counts) we consider limitations of the Poisson-normal approximation, together with the apparent problem of excessive false positives when a common expression is (mis-)used for detection decisions. For very rare events, rigorous approaches published more than half a century ago are applicable to such current problems as trace actinide contamination and nuclear treaty monitoring.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Hald, Statistical Theory with Engineering Applications (Ch. 22, The Poisson distribution) John Wiley & Sons, New York, 1952.

    Google Scholar 

  2. J. Przyborowski, H. Wilenski, Statistical principles of routine work in testing clover seed for dodder, Biometrika, 27 (1935) 273.

    Google Scholar 

  3. J. Przyborowski, H. Wilenski, Homogeneity of results in testing samples from Poisson series, Biometrika, 31 (1939) 313.

    Google Scholar 

  4. MARLAP (2004) Multi-Agency Radiological Laboratory Analytical Protocols Manual, Vol. 20: Detection and Quantification Capabilities [www.epa.gov/radiation/marlap/manual.htm]

  5. T. M. Semkow, Theory of overdispersion in counting statistics caused by fluctuating probabilities, Appl. Radiation Isotopes, 51 (1999) 565–579. (See also, L. A. Currie, The Limit of Precision in Nuclear and Analytical Chemistry, Nucl. Instr. Meth., 100 (1972) 387–395.]

    Article  CAS  Google Scholar 

  6. D. Cox, P. Lewis, The Statistical Analysis of Series of Events, Methuen & Co., London, 1966.

    Google Scholar 

  7. L. A. Crrie, Some case studies of skewed (and other ab-normal) data distributions arising in low-level environmental research, Fresenius J. Anal. Chem., 370 (2001) 705.

    Article  Google Scholar 

  8. M. Schwaiger, R. Edelmaier, E. Holm, S. Jerome (Eds), Low level radionuclide measurement techniques-ICRM, Appl. Radiation Isotopes, 61 (2004) (2, 3).

  9. R. Arnold et al., First results of the search for neutrinoless double-beta decay with the NEMO-3 detector, Phys. Rev. Lett., 95 (2005) 182302.

    Google Scholar 

  10. IUPAC Recommendations: Nomenclature in evaluation of analytical methods, including detection and quantification capabilities, Pure Appl. Chem., 67 (1995) 1699.

    Article  Google Scholar 

  11. ISO Standard 11843-1,2 Capability of Detection, Geneva, 1997f.

  12. ISO Standard ISO 11929-1 through −4 Determination of the Detection Limit and Decision Threshold for Ionizing Radiation Measurements, Geneva, 2000f.

  13. ASTM Standard D 6091-97. Standard Practice for 99%/95% Interlaboratory Detection Estimate (IDE) for Analytical Methods with Negligible Calibration Error, 1997.

  14. ASTM Standard D 6512-00, Standard Practice for Interlaboratory Quantitation Estimate, 2000.

  15. ISO-3534 Statistics — Vocabulary and Symbols, ISO, Geneva, Switzerland, 1993.

  16. L. A. Currie, Limits for qualitative detection and quantitative determination, application to radiochemistry, Anal. Chem., 40 (1968) 586.

    Article  CAS  Google Scholar 

  17. L. A. Currie, Detection: International Update, and Some Emerging di-Lemmas involving Calibration, the Blank, and Multiple Detection Decisions, Chemometrics and Intell. Lab. Systems, 37 (1997) 151.

    Article  CAS  Google Scholar 

  18. F. Garwood, Fiducial limits for the Poisson distribution, Biometrika, 28 (1936) 437.

    Google Scholar 

  19. J. O. Irwin, The frequency distribution of the difference between two independent variates following the same Poisson distribution, J. Royal Statistical Society, 100 (1937) 415.

    Article  Google Scholar 

  20. W. E. Potter, Neyman-Pearson confidence intervals for extreme low-level, paired counting, Health Phys., 76 (1999) 186.

    Article  CAS  Google Scholar 

  21. L. A. Currie, The measurement of environmental levels of rare gas nuclides and the treatment of very low-level counting data, IEEE Trans. Nucl. Sci., NS-19 (1972) 119–126. (See also L. A. Currie, Lower Limit of Detection ... (Table 7) NUREG/CR-4007 Nuclear Regulatory Commission, 1984).

    Article  Google Scholar 

  22. L.-E. De Geer, Currie detection limits in gamma-ray spectroscopy, ICRM Conf. on Low-level radioactivity measurement techniques, Appl. Radiation Isotopes, 61 (2004) 151.

    Article  CAS  Google Scholar 

  23. R. Davis Jr., D. S. Harmer, K. C. Hoffman, A search for neutrinos from the sun, Phys. Rev. Lett., 20 (1968) 1205.

    Article  CAS  Google Scholar 

  24. L. A. Currie, G. A. Klouda, Detection and quantification capabilities for 85Kr with the NIST low-level gas counting system: Impacts of instrumental and environmental backgrounds, J. Radioanal. Nuclear Chem., 248 (2001) 239.

    Article  CAS  Google Scholar 

  25. M. G. Natrella, The relation between confidence intervals and tests of significance, The American Statistician, 14[1] (1960) 20.

    Article  Google Scholar 

  26. L. A. Currie, E. M. Eijgenhuijsen, G. A. Klouda, On the validity of the Poisson Hypothesis for low-level counting; investigation of the distributional characteristics of background radiation with the NIST Individual Pulse Counting System, Radiocarbon, 40 (1998) 113.

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. A. Currie.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Currie, L.A. On the detection of rare, and moderately rare, nuclear events. J Radioanal Nucl Chem 276, 285–297 (2008). https://doi.org/10.1007/s10967-008-0501-5

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10967-008-0501-5

Keywords

Navigation