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Double shrinkage estimation of ratio of scale parameters

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  • Tatsuya Kubokawa

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  • Tatsuya Kubokawa, 1994. "Double shrinkage estimation of ratio of scale parameters," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(1), pages 95-116, March.
  • Handle: RePEc:spr:aistmt:v:46:y:1994:i:1:p:95-116
    DOI: 10.1007/BF00773596
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    References listed on IDEAS

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    1. Ghosh M. & Sinha B. K., 1987. "Inadmissibility Of The Best Equivariant Estimators Of The Variance-Covariance Matrix, The Precision Matrix, And The Generalized Variance Under Entropy Loss," Statistics & Risk Modeling, De Gruyter, vol. 5(3-4), pages 201-228, April.
    2. Mohamed Madi & Kam-Wah Tsui, 1990. "Estimation of the ratio of the scale parameters of two exponential distributions with unknown location parameters," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 77-87, March.
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    Cited by:

    1. van Eeden, Constance & V. Zidek, James, 2001. "Estimating one of two normal means when their difference is bounded," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 277-284, February.
    2. Tatsuya Kubokawa, 2013. "General Dominance Properties of Double Shrinkage Estimators for Ratio of Positive Parameters," CIRJE F-Series CIRJE-F-901, CIRJE, Faculty of Economics, University of Tokyo.
    3. George Iliopoulos, 2001. "Decision Theoretic Estimation of the Ratio of Variances in a Bivariate Normal Distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 436-446, September.
    4. Iliopoulos, George, 2000. "A note on decision theoretic estimation of ordered parameters," Statistics & Probability Letters, Elsevier, vol. 50(1), pages 33-38, October.
    5. Tatsuya Kubokawa, 2010. "Minimax Estimation of Linear Combinations of Restricted Location Parameters," CIRJE F-Series CIRJE-F-723, CIRJE, Faculty of Economics, University of Tokyo.
    6. Iliopoulos, George & Kourouklis, Stavros, 1999. "Improving on the Best Affine Equivariant Estimator of the Ratio of Generalized Variances," Journal of Multivariate Analysis, Elsevier, vol. 68(2), pages 176-192, February.
    7. Kubokawa, Tatsuya & Marchand, Éric & Strawderman, William E. & Turcotte, Jean-Philippe, 2013. "Minimaxity in predictive density estimation with parametric constraints," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 382-397.
    8. Iliopoulos G. & Kourouklis S., 2000. "Interval Estimation For The Ratio Of Scale Parameters And For Ordered Scale Parameters," Statistics & Risk Modeling, De Gruyter, vol. 18(2), pages 169-184, February.
    9. Tatsuya Kubokawa & Éric Marchand & William E. Strawderman & Jean-Philippe Turcotte, 2012. "Minimaxity in Predictive Density Estimation with Parametric Constraints," CIRJE F-Series CIRJE-F-843, CIRJE, Faculty of Economics, University of Tokyo.
    10. Panayiotis Bobotas & George Iliopoulos & Stavros Kourouklis, 2012. "Estimating the ratio of two scale parameters: a simple approach," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(2), pages 343-357, April.

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