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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. Constantinos Petropoulos, 2017. "Estimation of the order restricted scale parameters for two populations from the Lomax distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(4), pages 483-502, May.
    2. 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.
    3. Ma, Tiefeng & Wang, Songgui, 2010. "Estimation of means of multivariate normal populations with order restriction," Journal of Multivariate Analysis, Elsevier, vol. 101(3), pages 594-602, March.
    4. Naresh Garg & Neeraj Misra, 2024. "A unified study for estimation of order restricted parameters of a general bivariate model under the generalized Pitman nearness criterion," Statistical Papers, Springer, vol. 65(4), pages 1947-1983, June.
    5. Yuan-Tsung Chang & Nobuo Shinozaki, 2015. "Estimation of two ordered normal means under modified Pitman nearness criterion," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(5), pages 863-883, October.
    6. Lakshmi Kanta Patra & Suchandan Kayal & Somesh Kumar, 2021. "Minimax estimation of the common variance and precision of two normal populations with ordered restricted means," Statistical Papers, Springer, vol. 62(1), pages 209-233, February.

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