메뉴 건너뛰기




Volumn 67, Issue 2, 1998, Pages 169-189

Double Shrinkage Estimation of Common Coefficients in Two Regression Equations with Heteroscedasticity

Author keywords

Common mean problem; feasible (two stage) generalized least squares estimators; inadmissibility; unbiased estimation; heteroscedastic linear regression model

Indexed keywords


EID: 0039492861     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1998.1763     Document Type: Article
Times cited : (7)

References (22)
  • 1
    • 0009026849 scopus 로고
    • Estimation of a common mean and recovery of interblock information
    • Bhattacharya C. G. Estimation of a common mean and recovery of interblock information. Ann. Statist. 8:1980;205-211.
    • (1980) Ann. Statist. , vol.8 , pp. 205-211
    • Bhattacharya, C.G.1
  • 2
    • 51249180372 scopus 로고
    • Two inequalities with an application
    • Bhattacharya C. G. Two inequalities with an application. Ann. Inst. Statist. Math. 36:1984;129-134.
    • (1984) Ann. Inst. Statist. Math. , vol.36 , pp. 129-134
    • Bhattacharya, C.G.1
  • 3
    • 0000838618 scopus 로고
    • Point and confidence estimation of a common mean and recovery of interblock information
    • Brown L. D., Cohen A. Point and confidence estimation of a common mean and recovery of interblock information. Ann. Statist. 2:1974;963-976.
    • (1974) Ann. Statist. , vol.2 , pp. 963-976
    • Brown, L.D.1    Cohen, A.2
  • 4
    • 0000123905 scopus 로고
    • On estimating the common mean of two normal distributions
    • Cohen A., Sackrowitz H. B. On estimating the common mean of two normal distributions. Ann. Statist. 2:1974;1274-1282.
    • (1974) Ann. Statist. , vol.2 , pp. 1274-1282
    • Cohen, A.1    Sackrowitz, H.B.2
  • 5
    • 0001410775 scopus 로고
    • Combining unbiased estimators
    • Graybill F. A., Deal R. B. Combining unbiased estimators. Biometrics. 15:1959;543-550.
    • (1959) Biometrics , vol.15 , pp. 543-550
    • Graybill, F.A.1    Deal, R.B.2
  • 6
    • 0009230038 scopus 로고
    • Bounds for the covariance matrices of Zellner's estimator in the SUR model and the 2SAE in a heteroscedastic model
    • Kariya T. Bounds for the covariance matrices of Zellner's estimator in the SUR model and the 2SAE in a heteroscedastic model. J. Amer. Statist. Assoc. 76:1981;975-979.
    • (1981) J. Amer. Statist. Assoc. , vol.76 , pp. 975-979
    • Kariya, T.1
  • 7
    • 84972950102 scopus 로고
    • Estimation of location parameters from two linear models under normality
    • Khatri C. G., Shah K. R. Estimation of location parameters from two linear models under normality. Comm. Statist. Theory Methods. 3:1974;647-663.
    • (1974) Comm. Statist. Theory Methods , vol.3 , pp. 647-663
    • Khatri, C.G.1    Shah, K.R.2
  • 8
    • 0011543806 scopus 로고
    • Admissible minimax estimation of a common mean of two normal populations
    • Kubokawa T. Admissible minimax estimation of a common mean of two normal populations. Ann. Statist. 15:1987;1245-1256.
    • (1987) Ann. Statist. , vol.15 , pp. 1245-1256
    • Kubokawa, T.1
  • 9
    • 21344495008 scopus 로고
    • A unified approach to improving equivariant estimators
    • Kubokawa T. A unified approach to improving equivariant estimators. Ann. Statist. 22:1994;290-299.
    • (1994) Ann. Statist. , vol.22 , pp. 290-299
    • Kubokawa, T.1
  • 10
    • 0012420794 scopus 로고
    • Estimation of location and scale parameters under order restrictions
    • Kubokawa T., Saleh A. K. Md. E. Estimation of location and scale parameters under order restrictions. J. Statist. Res. 28:1994;41-51.
    • (1994) J. Statist. Res. , vol.28 , pp. 41-51
    • Kubokawa, T.1    Saleh A.K. Md., E.2
  • 12
    • 0030369801 scopus 로고    scopus 로고
    • Least upper bound for the covariance matrix of a generalized least squares estimator in regression with applications to a seemingly unrelated regression model and a heteroscedastic model
    • Kurata H., Kariya T. Least upper bound for the covariance matrix of a generalized least squares estimator in regression with applications to a seemingly unrelated regression model and a heteroscedastic model. Ann. Statist. 24:1996;1547-1559.
    • (1996) Ann. Statist. , vol.24 , pp. 1547-1559
    • Kurata, H.1    Kariya, T.2
  • 13
    • 0010851329 scopus 로고
    • Estimating the common mean of possibly different normal populations: A simulation study
    • Rao J. N. K. Estimating the common mean of possibly different normal populations: A simulation study. J. Amer. Statist. Assoc. 75:1980;447-453.
    • (1980) J. Amer. Statist. Assoc. , vol.75 , pp. 447-453
    • Rao, J.N.K.1
  • 14
    • 0000057143 scopus 로고
    • Combining independent estimators and estimation in linear regression with unequal variances
    • Rao J. N. K., Subrahmaniam K. Combining independent estimators and estimation in linear regression with unequal variances. Biometrics. 27:1971;971-990.
    • (1971) Biometrics , vol.27 , pp. 971-990
    • Rao, J.N.K.1    Subrahmaniam, K.2
  • 15
    • 0001087786 scopus 로고
    • A note on estimating the common mean ofk
    • Shinozaki N. A note on estimating the common mean ofk. Comm. Statist. Theory Methods. 7:1978;1421-1432.
    • (1978) Comm. Statist. Theory Methods , vol.7 , pp. 1421-1432
    • Shinozaki, N.1
  • 16
    • 0000788301 scopus 로고
    • Estimation of the common mean of two univariate normal populations
    • Sinha B. K., Mouqadem O. Estimation of the common mean of two univariate normal populations. Comm. Statist. Theory Methods. 11:1982;1603-1614.
    • (1982) Comm. Statist. Theory Methods , vol.11 , pp. 1603-1614
    • Sinha, B.K.1    Mouqadem, O.2
  • 17
    • 0001703524 scopus 로고
    • Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean
    • Stein C. Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean. Ann. Inst. Statist. Math. 16:1964;155-160.
    • (1964) Ann. Inst. Statist. Math. , vol.16 , pp. 155-160
    • Stein, C.1
  • 18
    • 0039221034 scopus 로고
    • Estimation of common coefficients in two regression equations
    • Swamy P. A. V. B., Mehta J. S. Estimation of common coefficients in two regression equations. J. Econometrics. 10:1979;1-14.
    • (1979) J. Econometrics , vol.10 , pp. 1-14
    • Swamy, P.A.V.B.1    Mehta, J.S.2
  • 19
    • 0040999620 scopus 로고    scopus 로고
    • K. Takeuchi, 1991
    • K. Takeuchi, 1991.
  • 20
    • 0000495560 scopus 로고
    • Small sample properties of a class of two stage Aitken estimators
    • Taylor W. E. Small sample properties of a class of two stage Aitken estimators. Econometrica. 45:1977;497-508.
    • (1977) Econometrica , vol.45 , pp. 497-508
    • Taylor, W.E.1
  • 21
    • 0000592684 scopus 로고
    • The heteroscedastic linear model: Exact finite sample results
    • Taylor W. E. The heteroscedastic linear model: Exact finite sample results. Econometrica. 46:1978;663-675.
    • (1978) Econometrica , vol.46 , pp. 663-675
    • Taylor, W.E.1
  • 22
    • 0040870260 scopus 로고
    • An approach to upper bound problems for risks of the generalized least squares estimators
    • Toyooka Y., Kariya T. An approach to upper bound problems for risks of the generalized least squares estimators. Ann. Statist. 14:1986;679-690.
    • (1986) Ann. Statist. , vol.14 , pp. 679-690
    • Toyooka, Y.1    Kariya, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.