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On estimation of the common mean of k ([greater-or-equal, slanted] 2) normal populations with order restricted variances

Author

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  • Misra, Neeraj
  • van der Meulen, Edward C.

Abstract

For estimating the common mean of k ([greater-or-equal, slanted] 2) normal populations with order restricted unknown variances, using the theory of isotomic regression, we propose a simple estimator which is better than the usual Graybill-Deal estimator in terms of stochastic dominance and the Pitman measure of closeness.

Suggested Citation

  • Misra, Neeraj & van der Meulen, Edward C., 1997. "On estimation of the common mean of k ([greater-or-equal, slanted] 2) normal populations with order restricted variances," Statistics & Probability Letters, Elsevier, vol. 36(3), pages 261-267, December.
    • Handle: RePEc:eee:stapro:v:36:y:1997:i:3:p:261-267
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    Cited by:

    1. Garren Steven T., 2003. "Improved estimation of medians subject to order restrictions in unimodal symmetric families," Statistics & Risk Modeling, De Gruyter, vol. 21(4), pages 367-380, April.

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