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Minimax estimation of a lower-bounded scale parameter of an F distribution

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  • van Eeden, Constance

Abstract

In their paper on group-Bayes estimation of the exponential mean, van Eeden and Zidek (1994, Test 3, 125-143) consider, among many other things, the minimax estimation of a lower-bounded scale parameter of an F distribution. They leave open the question of whether the estimator which is unique minimax among the truncated linear ones is minimax among all estimators. In this note it is shown that it is.

Suggested Citation

  • van Eeden, Constance, 2000. "Minimax estimation of a lower-bounded scale parameter of an F distribution," Statistics & Probability Letters, Elsevier, vol. 46(3), pages 283-286, February.
  • Handle: RePEc:eee:stapro:v:46:y:2000:i:3:p:283-286
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    References listed on IDEAS

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    1. Constance Eeden & James Zidek, 1994. "Group-Bayes estimation of the exponential mean: A preposterior analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 3(2), pages 247-247, December.
    2. Constance Eeden & James Zidek, 1994. "Group-Bayes estimation of the exponential mean: a preposterior analysis," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 3(1), pages 125-143, June.
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    Cited by:

    1. Jozani, Mohammad Jafari & Nematollahi, Nader & Shafie, Khalil, 2002. "An admissible minimax estimator of a bounded scale-parameter in a subclass of the exponential family under scale-invariant squared-error loss," Statistics & Probability Letters, Elsevier, vol. 60(4), pages 437-444, December.

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    1. Jozani, Mohammad Jafari & Nematollahi, Nader & Shafie, Khalil, 2002. "An admissible minimax estimator of a bounded scale-parameter in a subclass of the exponential family under scale-invariant squared-error loss," Statistics & Probability Letters, Elsevier, vol. 60(4), pages 437-444, December.

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