Between the mean and the median: The Lp estimator

Metrologia

Volumn 43, Issue 3, 2006, Pages 213-219

  Pennecchi, Francesca ^a   Callegaro, Luca ^a  

^a ISTITUTO NAZIONALE DI RICERCA METROLOGICA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; FUNCTION EVALUATION; MEASUREMENT THEORY; ROBUSTNESS (CONTROL SYSTEMS); STATISTICAL METHODS;

DOUBLE LOW LINE; EFFICIENCY PROPERTIES; SAMPLE MEAN; SAMPLE MEDIAN;

STATISTICAL TESTS;

EID: 33744813301     PISSN: 00261394     EISSN: 16817575     Source Type: Journal    
DOI: 10.1088/0026-1394/43/3/004     Document Type: Article

References (34)

1. BIPM IEC IFCC ISO IUPAC IUPAP OIML 1995 Guide to the Expression of Uncertainty in Measurement 2nd edn (Geneva: ISO) ISBN 92-67-10188-9
2. Bich W 2001 Estimation and uncertainty in metrology Recent Advances in Metrology and Fundamental Constants (Proceedings of the International School of Physics 'Enrico Fermi' vol 146) ed T J Quinn et al (Amsterdam: IOS Press) pp 653-88
3. Wilcox R R 1997 Introduction to Robust Estimation and Hypothesis Testing (San Diego: Academic)
4. Cox M G and Iguzquiza E P 2001 The total median and its uncertainty Advanced Mathematical & Computational tools in Metrology V (Series on Advances in Mathematics for Applied Sciences vol 57) ed P Ciarlini et al (Singapore: World Scientific) pp 106-17
5. p regression estimators J. Am. Stat. Assoc. 77 652-4
6. p norm estimator in linear regression models Commun. Stat.-Theory Methods 12 2511-24
7. p-Norm Estimation (New York: Dekker)
8. p-estimators Robust Regression, Analysis and Applications ed K D Lawrence and J L Arthur (New York: Dekker) chapter 2 pp 23-58
9. David H A 1981 Order Statistics 2nd edn (New York: Wiley)
10. Numerical Recipes books in C, Fortran 77 and Fortran 90 On-Line http://www.library.cornell.edu/nr.
11. Brent R P 1973 Algorithms for Minimization Without Derivatives (Englewood Cliffs, NJ: Prentice-Hall)
12. Eadie W T, Drijard D, James F E, Roos M and Sadoulet B CERN 1971 Statistical Methods in Experimental Physics (Amsterdam: North-Holland)
13. Luenberger D G 1969 Optimization by Vector Space Methods (New York: Wiley)
14. Beck J V and Arnold K J 1977 Parameter Estimation in Engineering and Science (New York: Wiley)
15. Bickel P J and Docksum K A 1977 Mathematical Statistics: Basic Ideas and Selected Topics (Englewood Cliffs, NJ: Prentice-Hall)
16. Harter H L 1974-1976 The method of least squares and some alternatives-Parts I-VI Int. Stat. Rev. 42 141-74 159-264, 282; 43 1-44, 125-90, 269-78; 44 111-57
17. p norm estimation and the choice of p Commun. Stat.-Simul. Comput. 11 89-109
18. Barnet V and Lewis T 1984 Outliers in Statistical Data (New York: Wiley)
19. Lewis F L 1986 Optimal Estimation (New York: Wiley)
20. Huber P J 1981 Robust Statistics (New York: Wiley)
21. Forsythe A B 1972 Robust estimation of straight line regression coefficients by minimizing pth power deviations Technometrics 14 159-66
22. CIPM 1999 Mutual Recognition of National Measurement Standards and of Calibration and Measurement Certificates Issued by National Metrology Institutes (Sèvres: BIPM)
23. Cox M G 1999 Statistical analysis of interlaboratory comparisons Report on the workshop held at NPL on 11 and 12 November 1999, NPL, Teddington, UK
24. Cox M G 2002 The evaluation of key comparison data Metrologia 39 589-95
25. Randa J 2000 Proposal for KCRV and degree of equivalence for GTRF key comparisons Document of the working group on radio frequency quantities of the CCEM, GT-RF/2000-12
26. Pennecchi F, Cox M G and Bich W 2003 Order statistics and uncertainty evaluation Proc. UNCERT 2003, Int. Conf. on the Uncertainty of Measurement (Oxford, UK, 2003)
27. Steele A G, Wood B M and Douglas R J 2001 Exclusive statistics: simple treatment of the unavoidable correlations from key comparison reference values Metrologia 38 483-8
28. Steele A G, Wood B M and Douglas R J 2005 Outlier rejection for the weighted-mean KCRV Metrologia 42 32-8
29. Willink R 2002 Statistical determination of a comparison reference value using hidden errors Metrologia 39 343-54
30. BIPM Key Comparison Database (kcdb.bipm.org) CCM.M-K1
31. Müller J W 2000 Possible advantages of a robust evaluation of comparisons J. Res. Natl Inst. Stand. Technol. 105 551-5
32. de Vreede J P M 2005 Final report of the comparison CCEM.RF-K8.CL: Calibration factor of thermistor mounts Metrologia 42 Tech. Suppl. 01008
33. Styblíkov R et al 2005 Final report of Euromet project 599: Comparison of voltage ratio standards Metrologia 42 Tech. Suppl. 01004
34. Mineo A M and Ruggieri M 2005 A software tool for the exponential power distribution: The normalp package J. Stat. Softw. 12 (4) 1-24