Abstract
A critical approach to the conventional definition of the detection limit and the decision threshold is introduced. Equations describing the probability of having more (or less) sample present than a given lower (or upper) limit are introduced, with the use of two different methods to calculate the value of net counts. The calculations are based on probability theory. Examples from low-count experiments and simulations are given.
Get full access to this article
View all access options for this article.
References
1.
Currie
L.
, Anal. Chem. 40 , 586 (1968 ).
2.
Michel
R.
Mende
O.
Kirchhoff
K.
, Kerntechnik 62 , 2 (1997 ).
3.
Hannam
M. D.
William
J. T.
, Nucl. Instr. Meth. A 431 , 239 (1999 ).
4.
Whitney
C. A.
, Random Processes in Physical Systems (Wiley , New York , 1990 ).
5.
Méray
L.
Demény
O.
, Nucl. Instr. Meth. A 460 , 472 (2001 ).
6.
Lyons
L.
, Statistics for Nuclear and Particle Physics (Cambridge University Press , Cambridge , 1986 ).
7.
Méray
L.
, Nucl. Instr. Meth. A 353 , 272 (1994 ).
8.
Méray
L.
Révay
Zs.
, J. Trace Microprobe Tech . 14 , 173 (1996 ).
9.
Révay
Zs.
, Mikrochim. Acta 126 , 77 (1997 ).
10.
Eckschlager
K.
Danzer
K.
, Information Theory in Analytical Chemistry (Wiley , New York , 1994 ).
