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Comparison of the Least Square Estimators with their Robust Versions in Linear Calibration Problems

Year 2006, Volume: 35 Issue: 1, 71 - 90, 01.01.2006

References

  • Aitchison, J. and Dunsmore, I. R. Statistical Prediction Analysis (Cambridge University Press, 1975).
  • Ali, M. A. and Singh, N. An alternative estimator in inverse linear regression, J. Stat. Comp., 1–15, 1982.
  • Berkson, J. Estimation of a linear function for a calibration line; consideration of a recent proposal, Technometrics 11, 649–660, 1969.
  • Eisenhart, C. The interpretation of certain regression methods and their use in biological and industrial research, Ann. Math. Stat. 10, 162–186, 1939.
  • 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.
  • Kitsos, C. P. and M¨uller, C. H. Robust linear calibration, Statistica 27, 93–106, 1995.
  • 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.
  • 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.
  • Shukla, G. K. On the problem of calibration, Technometrics 14 (3), 547–553, 1972.
  • Srivastava, V. K. and Singh, N. Small disturbance asymptotic thery for linear calibration estimators, Technometrics 31, 373–378, 1989.
  • Williams, E. J. A note on regression methods in calibration, Technometrics 11 (1), 189–192, 1969.

Comparison of the Least Square Estimators with their Robust Versions in Linear Calibration Problems

Year 2006, Volume: 35 Issue: 1, 71 - 90, 01.01.2006

References

  • Aitchison, J. and Dunsmore, I. R. Statistical Prediction Analysis (Cambridge University Press, 1975).
  • Ali, M. A. and Singh, N. An alternative estimator in inverse linear regression, J. Stat. Comp., 1–15, 1982.
  • Berkson, J. Estimation of a linear function for a calibration line; consideration of a recent proposal, Technometrics 11, 649–660, 1969.
  • Eisenhart, C. The interpretation of certain regression methods and their use in biological and industrial research, Ann. Math. Stat. 10, 162–186, 1939.
  • 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.
  • Kitsos, C. P. and M¨uller, C. H. Robust linear calibration, Statistica 27, 93–106, 1995.
  • 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.
  • 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.
  • Shukla, G. K. On the problem of calibration, Technometrics 14 (3), 547–553, 1972.
  • Srivastava, V. K. and Singh, N. Small disturbance asymptotic thery for linear calibration estimators, Technometrics 31, 373–378, 1989.
  • Williams, E. J. A note on regression methods in calibration, Technometrics 11 (1), 189–192, 1969.
There are 11 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

M. Cetin This is me

A. Erar This is me

Publication Date January 1, 2006
Published in Issue Year 2006 Volume: 35 Issue: 1

Cite

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.
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. January 2006;35(1):71-90.
Chicago Cetin, M., and A. Erar. “Comparison of the Least Square Estimators With Their Robust Versions in Linear Calibration Problems”. Hacettepe Journal of Mathematics and Statistics 35, no. 1 (January 2006): 71-90.
EndNote Cetin M, Erar A (January 1, 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.
IEEE M. Cetin and A. Erar, “Comparison of the Least Square Estimators with their Robust Versions in Linear Calibration Problems”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 1, pp. 71–90, 2006.
ISNAD Cetin, M. - Erar, A. “Comparison of the Least Square Estimators With Their Robust Versions in Linear Calibration Problems”. Hacettepe Journal of Mathematics and Statistics 35/1 (January 2006), 71-90.
JAMA 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;35:71–90.
MLA Cetin, M. and A. Erar. “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, pp. 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.