On the best fit of a line to uncertain observation pairs

Metrologia

Volumn 42, Issue 5, 2005, Pages 376-382

  Balsamo, A ^a   Mana, G ^a   Pennecchi, F ^a  

^a Istituto di Metrologia Gustavo Colonnetti   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

PARAMETER ESTIMATION; PROBLEM SOLVING; STATISTICAL METHODS;

ESTIMATION PROBLEMS; OPTIMIZATION PROBLEMS; VARIANCE ESTIMATES;

OPTIMIZATION;

EID: 26444560824     PISSN: 00261394     EISSN: None     Source Type: Journal    
DOI: 10.1088/0026-1394/42/5/006     Document Type: Conference Paper

References (17)

1. Fuller W 1987 Measurement Error Models (New York: Wiley)
2. Cheng C-L and Van Ness J W 1994 J. R. Stat. Soc. B 56 167
3. Van Huffel S and Vandewalle J 1991 The Total Least-Squares Problem-Computational Aspects and Analysis (Philadelphia: SIAM)
4. Baran S 2000 Metrika 51 117
5. Cheng C-L and Schneeweiss H 1998 J. R. Stat. Soc. B 60 189
6. Kukush A, Schneeweiss H and Wolf R 2005 J. Stat. Plan. Infer. 127 179
7. Durando G and Mana G 2002 Metrologia 39 489-94
8. Bergamin A, Cavagnero G and Mana G 1997 J. Appl. Phys. 82 5396-400
9. Balsamo A, Cavagnero G, Mana G and Massa E 2003 J. Opt. A: Pure Appl. Opt. 5 418-24
10. ISO 10360-6:2001- Geometrical Product Specification (GPS)-Acceptance and Verification Tests for Coordinate Measuring Machines (CMM)-Part 6. Estimation of Errors in Computing Gaussian Associated Features (Geneva: ISO)
11. MacDonald J R and Thompson W J 1992 Am. J. Phys. 60 6673
12. Adcock R J 1878 Analyst 5 53-4
13. Pearson K 1901 Phil. Mag. 2 559-72
14. Rice J A 1995 Mathematical Statistics and Data Analysis (Belmont, CA: Duxbury Press)
15. Antony G T, Antony H M, Cox M G and Forbes A B 1991 The parameterization of the geometric forms Technical Report EUR 13517 EN (Luxembourg: BCR Information)
16. Beck J V and Arnold K J 1977 Parameter Estimation in Engineering and Science (New York: Wiley)
17. Draper N R and Smith H 1966 Applied Regression Analysis (New York: Wiley)