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Statistics
A Journal of Theoretical and Applied Statistics
Volume 19, 1988 - Issue 2
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Original Articles

On minimum biased quadratic estimators

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Pages 215-222 | Received 01 Mar 1986, Published online: 27 Jun 2007

References

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  • Gnot , S. , Kleffe , J. and Zmyslony , R. 1985 . Nonnegativity of admissible in¬variant quadratic estimates in mixed linear models with two variance components . J. Statist. Planning and Inference , 12 : 249 – 258 .
  • Gnot , S. 1987 . Quadratic estimation of variance components in random block designs . J. Statist. Planning and Inference , 16 : 231 – 236 .
  • Habtung , J. 1981 . Nonnegative minimum biased invariant estimation in variance component models . Ann. Statist , 9 : 278 – 290 .
  • Lamotte , L.R. 1976 . On nonnegative quadratic unbiased estimation of variance components . J. Arner. Statist. Assoc , 8 : 728 – 730 .
  • Lamotte , L.R. 1976 . Invariant quadratic estimators in the random one-way ANOVA model . Biometrics , 82 : 793 – 804 .
  • Olsen , A. , Seely , J. and Bibkes , D. 1976 . Invariant quadratic unbiased estimation for two variance components . . Ann. Statist , 4 : 878 – 890 .
  • Pukelsheim , F. 1981 . On the existence of unbiased non-negative estimates of variance components . Ann. Statist , 9 : 293 – 299 .
  • Pukelsheim , F. 1981 . Linear models and convex geometry: Aspects of non-negative variance estimation . . Math. Operationsforsch. u. Statist., ser. statist , 12 : 271 – 286 .

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