Bayesian decision threshold, detection limit and confidence limits in ionising-radiation measurement

DIN 25482-1. Limit of detection and limit of decision for nuclear radiation measurements—Part 1: Counting measurements, neglecting the influence of sample treatment. (Berlin: Beuth–Verlag) (in German) (1989).

DIN 25482-2. Limit of detection and limit of decision for nuclear radiation measurements—Part 2: Counting spectrometric measurements, neglecting the influence of sample treatment. (Berlin: Beuth–Verlag) (in German) (1992).

DIN 25482-3. Limit of detection and limit of decision for nuclear radiation measurements—Part 3: Measurement by use of linear analog ratemeters. (Berlin: Beuth–Verlag) (in German) (1993).

DIN 25482-4. Limit of detection and limit of decision for nuclear radiation measurements—Part 4: Counting alpha spectrometric measurements, neglecting the influence of sample treatment and equipment used. (Berlin: Beuth–Verlag) (in German) (1995).

DIN 25482-5. Limit of detection and limit of decision for nuclear radiation measurements—Part 5: Counting measurements by high resolution gamma spectrometry, neglecting the influence of sample treatment. (Berlin: Beuth–Verlag) (in German) (1993).

DIN 25482-6. Limit of detection and limit of decision for nuclear radiation measurements—Part 6: Counting measurements with allowance for the influence of sample treatment and equipment used. (Berlin: Beuth–Verlag) (in German) (1993).

DIN 25482-7. Detection limit and decision threshold for ionizing radiation measurements—Part 7: Counting measurements on filters during accumulation of radioactive materials. (Berlin: Beuth–Verlag) (in German) (1997).

DIN 25482-10. Detection limit and decision threshold for ionizing radiation measurements—Part 10: General applications. (Berlin: Beuth–Verlag) (in German) (2000).

DIN 25482-11. Detection limit and decision threshold for ionizing radiation measurements—Part 11: Measurements using albedo dosimeters. (Berlin: Beuth–Verlag) (in German) (2003).

DIN 25482-12. Detection limit and decision threshold for ionizing radiation measurements—Part 12: Unfolding of spectra. (Berlin: Beuth–Verlag) (in German) (2003).

DIN 25482-13. Detection limit and decision threshold for ionizing radiation measurements—Part 13: Counting measurements on moving objects. (Berlin: Beuth–Verlag) (in German) (2003).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements—Part 1: Fundamentals and application to counting measurements without the influence of sample treatment. ISO 11929-1 (Geneva: ISO) (2000).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements—Part 2: Fundamentals and applications to counting measurements with the influence of sample treatment. ISO 11929-2 (Geneva: ISO) (2000).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements—Part 3: Fundamentals and application to counting measurements by high resolution gamma spectrometry without the influence of sample treatment. ISO 11929-3 (Geneva: ISO) (2000).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements—Part 4: Fundamentals and application to measurements by use of linear-scale analogue ratemeters, without the influence of sample treatment. ISO 11929-4 (Geneva: ISO) (2001).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements – Part 5: Fundamentals and applications to counting measurements on filters during accumulation of radioactive material. ISO 11929-5 (Geneva: ISO) (2005).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements – Part 6: Fundamentals and applications to measurements by use of transient mode. ISO 11929-6 (Geneva: ISO) (2005).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements – Part 7: Fundamentals and general applications. ISO 11929-7 (Geneva: ISO) (2005).

International Organisation for Standardisation. Determination of the detection limit and decision threshold for ionizing radiation measurements – Part 8: Fundamentals and application to unfolding of spectrometric measurements without the influence of sample treatment. ISO 11929-8 (Geneva: ISO) (2005).

DIN 1319-3. Fundamentals of metrology—Part 3: Evaluation of measurements of a single measurand, measurement uncertainty. (Berlin: Beuth–Verlag) (in German) (1996).

DIN 1319-4. Fundamentals of metrology—Part 4: Evaluation of measurements; uncertainty of measurement. (Berlin: Beuth–Verlag) (in German) (1999).

International Organisation for Standardisation. Guide to the Expression of Uncertainty in Measurement (GUM) (Geneva: ISO) (1993), corrected reprint (1995) also as ENV 13005 (1999).

Weise, K., Hübel, K., Michel, R., Rose, E., Schläger, M., Schrammel, D. and Täschner, M. Nachweisgrenze und Erkennungsgrenze bei Kernstrahlungsmessungen: Spezielle Anwendungen. (Köln: TÜV Verlag Rheinland) (2004), ISBN 3-8249-0904-9.

Weise, K., Hübel, K., Michel, R., Rose, E., Schläger, M., Schrammel, D. and Täschner, M. Determination of the detection limit and decision threshold for ionizing-radiation measurements: fundamentals and particular applications. (Köln: TÜV Verlag Rheinland) (2005), ISBN 3-8249-0945-6.

International Organisation for Standardisation. International Vocabulary of Basic and General Terms in Metrology. (Geneva: ISO) (1993);

Internationales Wörterbuch der Metrologie—International Vocabulary of Basic and General Terms in Metrology (Berlin: Beuth–Verlag) (1994).

DIN V ENV 13005. Leitfaden zur Angabe der Unsicherheit beim Messen. German version of ref 22, Guide to the expression of Uncertainty in Measurement. (Berlin: Beuth–Verlag) (1995).

Currie, L. A. Nomenclature in evaluation of analytical methods including detection and quantification capabilities. Pure Appl. Chem.67, 1699–1723 (1995).

EURACHEM/CITAC, Guide CG 4. Quantifying uncertainty in analytical measurement. second edn. (2000) http://www.eurachem.ul.pt/guides/QUAM2000-1.pdf .

Weise, K. and Wöger, W. A Bayesian theory of measurement uncertainty. Meas. Sci. Technol.4, 1–11 (1993).

Weise, K. and Wöger, W. Meßunsicherheit und Meßdatenauswertung. (Berlin: Wiley–VCH) (1999).

Rosenkrantz, R. D., Ed. Jaynes, E. T. Papers on probability, statistics and statistical physics. (Boston, New York: Dordrecht: Kluwer Publications.) (1989).

Weise, K. Bayesian-statistical decision threshold, detection limit, and confidence interval in nuclear radiation measurement. Kerntechnik63, 214–224 (1997).

Weise, K. The Bayesian count rate probability distribution in measurement of ionizing radiation by use of a ratemeter. PTB Report Ra-44 (Braunschweig: Physikalisch-Technische Bundesanstalt) (2004).

Kohlrausch, F. Praktische Physik. Vol. 3, 24th edn., (Stuttgart: B.G. Teubner) p. 613 (1996).

Michel, R. Quality assurance of nuclear analytical techniques based on Bayesian characteristic limits. J. Radioanal. Chem.245, 137–144 (2000).

Michel, R. and Kirchhoff, K. Nachweis-, Erkennungs- und Vertrauensgrenzen bei Kernstrahlungsmessungen. (Köln: TÜV Verlag Rheinland) (1999), ISBN 3-8249-0542-6.

Weise, K. and Michel, R. Erkennungsgrenze, Nachweisgrenze und Vertrauensbereich in der allgemeinen Kernstrahlungs-Spektrometrie. Kerntechnik60, 189–196 (1995).