Estimation of the limit of detection using information theory measures

Analytica Chimica Acta

Volumn 810, Issue , 2014, Pages 1-9

  Fonollosa, Jordi ^a   Vergara, Alexander ^b   Huerta, Ramón ^a   Marco, Santiago ^c,d  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c INSTITUTE FOR BIOENGINEERING OF CATALONIA IBEC   (Spain)

^d UNIVERSITY OF BARCELONA   (Spain)

Author keywords

False positive negative errors; Gas discrimination and quantification; Heteroscedasticity; Information theory; Limit of detection; Mutual information

Indexed keywords

ERRORS; ESTIMATION; GAUSSIAN NOISE (ELECTRONIC);

AMOUNT OF INFORMATION; CHEMICAL INSTRUMENTATION; ESTIMATION APPROACHES; FALSE POSITIVE/NEGATIVE; HETEROSCEDASTICITY; LIMIT OF DETECTION; MUTUAL INFORMATIONS; PROBABILITY OF FALSE POSITIVES;

INFORMATION THEORY;

ANALYTICAL EQUIPMENT; ANALYTICAL ERROR; ARTICLE; CHEMICAL ANALYSIS; GAUSSIAN NOISE; INFORMATION; INFORMATION SCIENCE; INTERMETHOD COMPARISON; LIMIT OF DETECTION; PRIORITY JOURNAL; PROBABILITY; QUALITY CONTROL;

FALSE POSITIVE/NEGATIVE ERRORS; GAS DISCRIMINATION AND QUANTIFICATION; HETEROSCEDASTICITY; INFORMATION THEORY; LIMIT OF DETECTION; MUTUAL INFORMATION;

INFORMATION THEORY; LIMIT OF DETECTION; PROBABILITY;

EID: 84892488523     PISSN: 00032670     EISSN: 18734324     Source Type: Journal    
DOI: 10.1016/j.aca.2013.10.030     Document Type: Article

References (44)

1. James K.A., Meliker J.R., Marshall J.A., Hokanson J.E., Zerbe G.O., Byers T.E. Journal of Exposure Science and Environmental Epidemiology 2013, 23:450-454.
2. Analytical Feasibility Support Document for the Second Six-Year Review of Existing National Primary Drinking Water Regulations US Environmental Protection Agency, 2009.
3. Currie L.A. Analytica Chimica Acta 1999, 391:127-134.
4. Pure and Applied Chemistry, 45 (1976).
5. McFarren E.F., Lishka R.J., Parker J.H. Analytical Chemistry 1970, 42:358.
6. Desimoni E., Brunetti B. Analytica Chimica Acta 2009, 655:30-37.
7. Voigtman E., Abraham K.T. Spectrochimica Acta Part B-Atomic Spectroscopy 2011, 66:822-827.
8. Fraga C.G., Melville A.M., Wright B.W. Analyst 2007, 132:230-236.
9. Shannon C.E. Bell System Technical Journal 1948, 27:379.
10. Irving H.M.N.H., Freiser H., West T.S. IUPAC, Compendium of Analytical Nomenclature-The Orange Book 1978, Oxford, Pergamon, Definitive rules.
11. Kaiser H. Analytical Chemistry 1970, 42:24A.
12. Boque R., Maroto A., Riu J., Rius F.X. Grasas Y Aceites 2002, 53:128.
13. Ortiz M.C., Sarabia L.A., Sanchez M.S. Analytica Chimica Acta 2010, 674.
14. Desimoni E., Brunetti B., Cattaneo R. Annali Di Chimica 2004, 94:555-569.
15. Principe J. Information Theoretic Learning: Rényi's Entropy and Kernel Perspectives 2010, Springer, Berlin.
16. Dupuis F., Dijkstra A. Analytical Chemistry 1975, 47:379.
17. Eckschlager K. Information Theory in Analytical Chemistry 1994, John Wiley & Sons, Hoboken, NJ.
18. David V., Medvedovici A. Journal of Chemical Information and Computer Sciences 2000, 40:976.
19. Alkasab T.K., White J., Kauer J.S. Chemical Senses 2002, 27:261.
20. Pearce T., Sanchez-Montañes A. Handbook of Artificial Olfaction Machines 2002, Wiley-VCH, Weinheim.
21. Vazquez P.P., Feixas M., Sbert M., Llobet A. Computers & Graphics-UK 2006, 30:98.
22. Vergara A., Muezzinoglu M.K., Rulkov N., Huerta R. Sensors and Actuators B-Chemical 2010, 148:298.
23. Trincavelli M., Loutfi A. IEEE International Conference on Robotics and Automation (ICRA) 2010, 2852.
24. Fonollosa J., Gutierrez-Galvez A., Marco S. PLoS One 2012, 7.
25. Vergara A., Llobet E. Talanta 2012, 88:95.
26. Fonollosa J., Fernández L., Huerta R., Gutiérrez-Gálvez A., Marco S. Sensors and Actuators B: Chemical 2013, 187:331.
27. O'Neill D.T., Rochette E.A., Ramsey P.J. Analytical Chemistry 2002, 74:5907.
28. P.National Toxicology Report on carcinogens: carcinogen profiles 2011, iii. U.S. Dept. of Health and Human Services, Public Health Service, National Toxicology Program, 12.
29. Toxic and Hazardous Substances: Benzene. Occupational Safety and Health Administration.
30. Min Y.K., Tuller H.L., Palzer S., Wollenstein J., Bottner H. Sensors and Actuators B-Chemical 2003, 93:435.
31. Barsan N., Koziej D., Weimar U. Sensors and Actuators B-Chemical 2007, 121:18.
32. Fine G.F., Cavanagh L.M., Afonja A., Binions R. Sensors 2010, 10:5469.
33. Fonollosa J., Vergara A., Huerta R. Sensors and Actuators B: Chemical 2013, 183:211.
34. Figaro USA, Inc.
35. Airgas, Inc.
36. Bronkhorst High-Tech B.V.
37. J.W. Gardner, P.N. Bartlett, Oxford University Press, New York, 1999.
38. Clifford P.K., Tuma D.T. Sensors and Actuators 1983, 3:233.
39. Clifford P.K., Tuma D.T. Sensors and Actuators 1983, 3:255.
40. Dempster A.P. Statistics and Computing 1997, 7:247.
41. Vexler A., Liu A., Eliseeva E., Schisterman E.F. Biometrics 2008, 64:895.
42. Thiebaut R., Jacqmin-Gadda H. Computer Methods and Programs in Biomedicine 2004, 74:255.
43. Lynn H.S. Statistics in Medicine 2001, 20:33.
44. Neyman J., Pearson E.S. On the Problem of the Most Efficient Tests of Statistical Hypotheses 1992, Springer, Berlin.