메뉴 건너뛰기




Volumn 23, Issue 4, 1996, Pages 473-488

Exact Mean Squared Error Comparisons of the Inverse and Classical Estimators in Multi-univariate Linear Calibration

Author keywords

Controlled calibration; Multivariate linear regression; Poisson variables

Indexed keywords


EID: 0030490931     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (25)
  • 2
    • 0001966378 scopus 로고
    • Minimax estimators cf the mean of a multivariate normal distribution
    • Bock, M. E. (1975). Minimax estimators cf the mean of a multivariate normal distribution. Ann. Statist. 3, 209-218.
    • (1975) Ann. Statist. , vol.3 , pp. 209-218
    • Bock, M.E.1
  • 3
    • 0001614895 scopus 로고
    • Multivariate calibration
    • Brown, P. J. (1982). Multivariate calibration (with discussion). J. Roy. Statist. Soc. Ser. B 44, 287-321.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 287-321
    • Brown, P.J.1
  • 5
    • 0011001716 scopus 로고
    • Mean squared error and selection in multivariate calibration
    • Brown, P. J. & Spiegelman, C. H. (1991). Mean squared error and selection in multivariate calibration. Statist. Probab. Lett. 12, 157-159.
    • (1991) Statist. Probab. Lett. , vol.12 , pp. 157-159
    • Brown, P.J.1    Spiegelman, C.H.2
  • 6
    • 0002018223 scopus 로고
    • Confidence and conflict in multivariate calibration
    • Brown, P. J. & Sundberg, R. (1987). Confidence and conflict in multivariate calibration. J. Roy. Statist. Soc. Ser. B 49, 46-57.
    • (1987) J. Roy. Statist. Soc. Ser. B , vol.49 , pp. 46-57
    • Brown, P.J.1    Sundberg, R.2
  • 7
    • 0348101103 scopus 로고
    • A Bayesian approach to calibration
    • Dunsmore, I. R. (1968). A Bayesian approach to calibration. J. Roy. Statist. Soc. Ser. B 30, 396-405.
    • (1968) J. Roy. Statist. Soc. Ser. B , vol.30 , pp. 396-405
    • Dunsmore, I.R.1
  • 8
    • 84952078959 scopus 로고
    • On inverse estimation in linear regression
    • Halperin, M. (1970). On inverse estimation in linear regression. Technometrics 12, 727-736.
    • (1970) Technometrics , vol.12 , pp. 727-736
    • Halperin, M.1
  • 9
    • 84950638974 scopus 로고
    • A Bayesian look at inverse linear regression
    • Hoadley, B. (1970). A Bayesian look at inverse linear regression. J. Amer. Statist. Assoc. 65, 356-369.
    • (1970) J. Amer. Statist. Assoc. , vol.65 , pp. 356-369
    • Hoadley, B.1
  • 10
    • 0019634538 scopus 로고
    • A Bayesian analysis of the linear calibration problem
    • Hunter, W. G. & Lamboy, W. F. (1981). A Bayesian analysis of the linear calibration problem (with discussion). Technometrics 23, 323-328.
    • (1981) Technometrics , vol.23 , pp. 323-328
    • Hunter, W.G.1    Lamboy, W.F.2
  • 11
    • 0009225714 scopus 로고
    • Improving on standard estimators in discrete exponential families with applications to Poisson and negative binomial cases
    • Hwang, J. T. (1982). Improving on standard estimators in discrete exponential families with applications to Poisson and negative binomial cases. Ann. Statist. 10, 857-867.
    • (1982) Ann. Statist. , vol.10 , pp. 857-867
    • Hwang, J.T.1
  • 13
    • 84946632251 scopus 로고
    • Classical and inverse regression methods of calibration
    • Krutchkoff, R. G. (1967). Classical and inverse regression methods of calibration. Technometrics 9, 425-439.
    • (1967) Technometrics , vol.9 , pp. 425-439
    • Krutchkoff, R.G.1
  • 14
    • 0014553696 scopus 로고
    • Classical and inverse regression methods of calibration in extrapolation
    • Krutchkoff, R. G. (1969). Classical and inverse regression methods of calibration in extrapolation. Technometrics 11, 605-608.
    • (1969) Technometrics , vol.11 , pp. 605-608
    • Krutchkoff, R.G.1
  • 15
    • 0001454769 scopus 로고
    • New perspectives on linear calibration
    • Kubokawa, T. & Robert, C. (1994). New perspectives on linear calibration. J. Multivar. Anal. 31, 178-200
    • (1994) J. Multivar. Anal. , vol.31 , pp. 178-200
    • Kubokawa, T.1    Robert, C.2
  • 16
    • 0010960834 scopus 로고
    • Mulitvariate calibration: A generalization of the classical estimator
    • Lieftinck-Koeijers, C. A. J. (1988). Mulitvariate calibration: a generalization of the classical estimator. J. Multivar. Anal. 25, 31-44.
    • (1988) J. Multivar. Anal. , vol.25 , pp. 31-44
    • Lieftinck-Koeijers, C.A.J.1
  • 17
    • 0020166623 scopus 로고
    • An analysis of the linear calibration controversy from the perspective of compound estimation
    • Lwin, T. & Maritz, J. S. (1982). An analysis of the linear calibration controversy from the perspective of compound estimation. Technometrics 24, 235-242.
    • (1982) Technometrics , vol.24 , pp. 235-242
    • Lwin, T.1    Maritz, J.S.2
  • 18
    • 0000490244 scopus 로고
    • On the moments of classical estimates of explanatory variables under a multivariate calibration model
    • Nishii, R. & Krishnaiah, P. R. (1988). On the moments of classical estimates of explanatory variables under a multivariate calibration model. Sankhya Ser. A 50, 137-148.
    • (1988) Sankhya Ser. A , vol.50 , pp. 137-148
    • Nishii, R.1    Krishnaiah, P.R.2
  • 19
    • 0042438018 scopus 로고
    • An exact formula for the mean squared error of the inverse estimator in the linear calibration problem
    • Oman, S. D. (1985). An exact formula for the mean squared error of the inverse estimator in the linear calibration problem. J. Statist. Plan. Infer. 11, 189-196.
    • (1985) J. Statist. Plan. Infer. , vol.11 , pp. 189-196
    • Oman, S.D.1
  • 20
    • 0001325055 scopus 로고
    • Statistical calibration: A review
    • Osborne. C. (1991). Statistical calibration: a review. Int. Statist. Rev. 59, 309-336.
    • (1991) Int. Statist. Rev. , vol.59 , pp. 309-336
    • Osborne, C.1
  • 21
    • 0038898036 scopus 로고
    • Comparison of the inverse and classical estimators in multi-univariate linear calibration
    • Srivastava, M. S. (1995). Comparison of the inverse and classical estimators in multi-univariate linear calibration. Commun. Statist. Theor. Meth. 24, 2753-2767.
    • (1995) Commun. Statist. Theor. Meth. , vol.24 , pp. 2753-2767
    • Srivastava, M.S.1
  • 23
    • 38249021534 scopus 로고
    • Stein estimation under elliptical distributions
    • Srivastava, M. S. & Bilodeau, M. (1989). Stein estimation under elliptical distributions. J. Multivar. Anal. 28, 247-259.
    • (1989) J. Multivar. Anal. , vol.28 , pp. 247-259
    • Srivastava, M.S.1    Bilodeau, M.2
  • 24
    • 0009402003 scopus 로고
    • When is the inverse regression estimator MSE-superior to the standard regression estimator in multivariate controlled calibration situations?
    • Sundberg, R. (1985). When is the inverse regression estimator MSE-superior to the standard regression estimator in multivariate controlled calibration situations? Statist. Probab. Lett. 3, 75-79.
    • (1985) Statist. Probab. Lett. , vol.3 , pp. 75-79
    • Sundberg, R.1
  • 25
    • 0030515455 scopus 로고    scopus 로고
    • The precision of the estimated generalized least squares estimator in mulitvariate calibration
    • Sundberg, R. (1996). The precision of the estimated generalized least squares estimator in mulitvariate calibration. Scand. J. Statist. 23, 257-274.
    • (1996) Scand. J. Statist. , vol.23 , pp. 257-274
    • Sundberg, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.