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On the inadmissibility of unbiased estimators

Publication ,  Journal Article
Berger, JO
Published in: Statistics and Probability Letters
January 1, 1990

It is observed that unbiased estimators are always inadmissible when the parameter (or function of the parameter) being estimated has either a maximum or a minimum at a parameter value for which the probability distribution is nondegenerate. Examples of problems where this is so include variance components problems, problems with restricted parameter spaces, and estimation of the risk or variance of shrinkage estimators. © 1990.

Duke Scholars

Published In

Statistics and Probability Letters

DOI

ISSN

0167-7152

Publication Date

January 1, 1990

Volume

9

Issue

5

Start / End Page

381 / 384

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Berger, J. O. (1990). On the inadmissibility of unbiased estimators. Statistics and Probability Letters, 9(5), 381–384. https://doi.org/10.1016/0167-7152(90)90028-6
Berger, J. O. “On the inadmissibility of unbiased estimators.” Statistics and Probability Letters 9, no. 5 (January 1, 1990): 381–84. https://doi.org/10.1016/0167-7152(90)90028-6.
Berger JO. On the inadmissibility of unbiased estimators. Statistics and Probability Letters. 1990 Jan 1;9(5):381–4.
Berger, J. O. “On the inadmissibility of unbiased estimators.” Statistics and Probability Letters, vol. 9, no. 5, Jan. 1990, pp. 381–84. Scopus, doi:10.1016/0167-7152(90)90028-6.
Berger JO. On the inadmissibility of unbiased estimators. Statistics and Probability Letters. 1990 Jan 1;9(5):381–384.
Journal cover image

Published In

Statistics and Probability Letters

DOI

ISSN

0167-7152

Publication Date

January 1, 1990

Volume

9

Issue

5

Start / End Page

381 / 384

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0102 Applied Mathematics