A characterization of minimum variance unbiased estimators in the general linear model with restrictions on parameter space

References

• Gnot , S. , Klonecki , W. and Zmyślony , R. 1977 . Best unbiased linear estimation a coordinate free approach , Vol. 124 , Institute of Mathematics of the Polish Academy of Sciences . Preprint
   Google Scholar
• Lehmann , E. and Scheffe , H. 1950 . Completness, similar regions and unbiased estimation . Sankhya , 10 : 305 – 340 . Part 1
   Google Scholar
• Mitra , S. 1977 . The matrix equation . SIAM Appl. Math , 32 : 823 – 825 .
   Web of Science ®Google Scholar
• Neudecker , H. and Kreijger , R. 1977 . Exact linear restrictions on parameters in the general linear model with a singular covariance matrix . J. Roy. Statist. Assoc , 52 : 430 – 433 .
   Google Scholar
• Rao , C.R. 1971 . Theory of estimation of parameters in the general Gauss-Markoff Model . Sankhya , 33 : 371 – 394 .
   Google Scholar
• Seely , J. and Zyskind , G. 1971 . Linear spaces and minimum variance unbiased estimation . Ann. Mash. Statist , 42 : 691 – 703 .
   Google Scholar
• Takayama , T. and Judge , G.G. 1966 . Equilibrium Spatially Separated Markets . J. Roy. Statist. Assoc , 32 : 113 – 133 .
   Google Scholar
• Theil , H. 1963 . On the use of incomplete prior information in regression analysis . J Roy Statist Assoc , 58 : 401 – 414 .
   Google Scholar
• Zmyślony , R. 1978 . A characterization of best linear unbiased estimators in the general linear model , Vol. 159 , Institute of Mathematics of the Polish Academy of Sciences . Preprint
   Google Scholar
• Zyskind , G. 1969 . On best linear estimation and a general Gauss-Markoff Theorem in linear models . SIAM Appl. Math , 17 : 1190 – 1202 .
   Web of Science ®Google Scholar