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Inadmissibility of polynomial estimates of the shift parameter

Abstract

In this note we demonstrate the inadmissibility of an extensive class of polynomial estimates of the shift parameter in the case of a quadratic loss function.

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Additional information

Translated from Matematicheskie Zametki, Vol. 14, No. 6, pp. 885–894, December, 1973.

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Klebanov, L.B. Inadmissibility of polynomial estimates of the shift parameter. Mathematical Notes of the Academy of Sciences of the USSR 14, 1068–1073 (1973). https://doi.org/10.1007/BF01099594

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Keywords

  • Loss Function
  • Polynomial Estimate
  • Shift Parameter
  • Quadratic Loss
  • Extensive Class