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Original Articles

On shrinkage least squares estimation in a parallelism problem

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Pages 1451-1466 | Received 01 Apr 1985, Published online: 23 Dec 2010

References

  • Arnold , Steven F. 1981 . The Theory of Linear Models and Multivariate Statistics Analysis , John Wiley and Sons .
  • James , W. and Stein , C. Estimation with quadratic loss . Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability . pp. 361 – 379 . Berkeley, CA : Univ. of California Press .
  • Judge , G.G. and Bock , M.E. 1978 . The Statistical Implications of Pre-Test and Stein Rules Estimators in Eeconometrics , North-Holland Publishing Company .
  • Lambert , A. , Ehsanes , Saleh, A. K. Md. and Sen , P.K. 1985 . On least squares estimation of intercepts after a preliminary test on parallelism of regression lines . Commun, Statist,--Theor, Meth , 14 ( 4 ) : 793 – 807 .
  • Lindley , D.V. 1962 . Discussion on Prof. Stein's paper . J. Roy. Statist. Soc., Sr , B24 ( 4 ) : 285 – 287 .
  • Sclove , S.L. , Morris , C. and Radhakrishnan , R. 1972 . Non-optlmality of preliminary test estimators for the means of a multivariate normal distribution . Ann. Math. Statist , 43 ( 4 ) : 1481 – 1490 .
  • Sen , P.K. 1969 . On a class of rank order tests for parallelism of several regression lines . Ann. Math. Statist , 40 ( 4 ) : 1668 – 1683 .
  • Sen , Pranab Kumar . 1971 . Robust statistical procedures in problems of linear regression with special reference to quantitative Bio-assays . I. Review of the International Statistical Institute , 39 ( 4 ) : 21 – 38 .
  • Sen , P.K. and Ehsanes , Saleh,A. K. Md. 1979 . Nonparametric estimation of location parameters after a preliminary test on regression in the multivariate ease . Jour. Multivariate Analysis , 9 ( 4 ) : 322 – 331 .
  • Sen , Pranab K. and Ehsanes , Saleh, A. K. Md. 1985 . On some shrinkage estimators of multivariate locations . Ann. Statist , 13 ( 4 ) : 272 – 281 .

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