Comparison of the least square estimators with their robust versions in linear calibration problems
Yıl: 2006 Cilt: 35 Sayı: 1 Sayfa Aralığı: 71 - 90 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
Comparison of the least square estimators with their robust versions in linear calibration problems
Öz: The calibration problem is concerned with the prediction of Xo, the true but unknown value, by using yo given by a quick method. There are f" some approaches to solve this problem. In this study, these approaches are compared by using a simulation method with and without an outlier. It is observed that the Inverse estimator, generally yielded better results for interpolation, but that the Nazsodi estimators were good for extrapolation and the preference of small bias.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1] Aitchison, J. and Dunsmore, I. R. Statistical Prediction Analysis (Cambridge University Press, 1975).
- [2] Ali, M. A. and Singh, N. An alternative estimator in inverse linear regression, J. Stat. Comp., 1-15, 1982.
- [3] Berkson, J. Estimation of a linear function for a calibration line; consideration of a recent proposal, Technometrics 11, 649-660, 1969.
- [4] Eisenhart, C. The interpretation of certain regression methods and their use in biological and industrial research, Ann. Math. Stat. 10, 162-186, 1939.
- [5] Halperin, M. On inverse estimation in linear regression, Technometrics 12, 727-736, 1970.
- [6] Hoadley, A.B. A Bayesian look at inverse linear regression, JASA 65, 356-369, 1970.
- [7] Kitsos, C. P. and Müller, C. H. Robust linear calibration, Statistica 27, 93-106, 1995.
- [8] Krutchkoff, R. G. Classical and inverse regression methods of calibration, Technometrics 9, 425-439, 1967.
- [9] Krutchkoff, R. G. Classical and inverse regression methods of calibration extrapolation, Technometrics 11 (9), 605-608, 1969.
- [10] Lwin, T. and Maritz, J. S. On the problem of statistical calibration, Appl. Statistics 29,135-141, 1980.
- [11] Nazsodi, L. J. Elimination of the bias in the courde of calibration, Technometrics 20, 201-206, 1978.
- [12] Shukla, G. K. On the problem of calibration, Technometrics 14 (3), 547-553, 1972.
- [13] Srivastava, V. K. and Singh, N. Small disturbance asymptotic thery for linear calibration estimators, Technometrics 31, 373-378, 1989.
- [14] Williams, E. J. A note on regression methods in calibration, Technometrics 11(1), 189-192, 1969.
APA | Cetin M, ERAR A (2006). Comparison of the least square estimators with their robust versions in linear calibration problems. , 71 - 90. |
Chicago | Cetin Meral,ERAR Aydın Comparison of the least square estimators with their robust versions in linear calibration problems. (2006): 71 - 90. |
MLA | Cetin Meral,ERAR Aydın Comparison of the least square estimators with their robust versions in linear calibration problems. , 2006, ss.71 - 90. |
AMA | Cetin M,ERAR A Comparison of the least square estimators with their robust versions in linear calibration problems. . 2006; 71 - 90. |
Vancouver | Cetin M,ERAR A Comparison of the least square estimators with their robust versions in linear calibration problems. . 2006; 71 - 90. |
IEEE | Cetin M,ERAR A "Comparison of the least square estimators with their robust versions in linear calibration problems." , ss.71 - 90, 2006. |
ISNAD | Cetin, Meral - ERAR, Aydın. "Comparison of the least square estimators with their robust versions in linear calibration problems". (2006), 71-90. |
APA | Cetin M, ERAR A (2006). Comparison of the least square estimators with their robust versions in linear calibration problems. Hacettepe Journal of Mathematics and Statistics, 35(1), 71 - 90. |
Chicago | Cetin Meral,ERAR Aydın Comparison of the least square estimators with their robust versions in linear calibration problems. Hacettepe Journal of Mathematics and Statistics 35, no.1 (2006): 71 - 90. |
MLA | Cetin Meral,ERAR Aydın Comparison of the least square estimators with their robust versions in linear calibration problems. Hacettepe Journal of Mathematics and Statistics, vol.35, no.1, 2006, ss.71 - 90. |
AMA | Cetin M,ERAR A Comparison of the least square estimators with their robust versions in linear calibration problems. Hacettepe Journal of Mathematics and Statistics. 2006; 35(1): 71 - 90. |
Vancouver | Cetin M,ERAR A Comparison of the least square estimators with their robust versions in linear calibration problems. Hacettepe Journal of Mathematics and Statistics. 2006; 35(1): 71 - 90. |
IEEE | Cetin M,ERAR A "Comparison of the least square estimators with their robust versions in linear calibration problems." Hacettepe Journal of Mathematics and Statistics, 35, ss.71 - 90, 2006. |
ISNAD | Cetin, Meral - ERAR, Aydın. "Comparison of the least square estimators with their robust versions in linear calibration problems". Hacettepe Journal of Mathematics and Statistics 35/1 (2006), 71-90. |