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Estimation procedures based on preliminary test, shrinkage technique and information criterion

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An Erratum to this article was published on 01 December 1992

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References

  1. Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle,2nd International Symposium on Information Theory, B. N. Petrov and F. Csáki, eds., Akademiai, Budapest, 267–281.

    Google Scholar 

  2. Bock, M. E., Yancey, T. A. and Judge, G. G. (1973). The statistical consequences of prelininary test estimators in regression,J. Amer. Statist. Ass. 68, 109–116.

    Article  MathSciNet  Google Scholar 

  3. Goodman, L. A. (1953). A simple method for improving some estimators,Ann. Math. Statist.,24, 114–117.

    Google Scholar 

  4. Hirano, K. (1972). Using some approximately known coefficient of variation in estimating mean, (in Japanese),Proc. Inst. Statist. Math. 20, 61–64.

    MathSciNet  Google Scholar 

  5. Hirano, K. (1973). Biased efficient estimator utilizing some a priori information,J. Japan Statist. Soc.,4, 11–13.

    MathSciNet  Google Scholar 

  6. Hirano, K. (1973). Some properties of an estimator for the variance of a normal distribution,Ann. Inst. Statist. Math.,25, 479–492.

    Article  MathSciNet  Google Scholar 

  7. Hirano, K. (1974). The utilization of a known coefficient of variation matrix in the estimation procedure of mean vector,Res. Memo. No. 66, The Inst. Statist. Math.

  8. Khan, R. (1968). A note on estimating the mean of a normal distribution with known coefficient of variation,J. Amer. Statist. Ass.,63, 1039–1041.

    Article  Google Scholar 

  9. Kitagawa, T. (1963). Estimation after preliminary tests of significance,Univ. Calif. Pub. Statist.,3, 147–186.

    Google Scholar 

  10. Mehta, J. S. and Srinivasan, R. (1971). Estimation of the mean by shrinkage to a point,J. Amer. Statist. Ass.,66, 86–90.

    Article  Google Scholar 

  11. Searls, D. T. (1964). The utilizing of a known coefficient of variation in estimation procedure,J. Amer. Statist. Ass.,59, 1225–1226.

    Article  Google Scholar 

  12. Singh, J., Pandey, B. N. and Hirano, K. (1973). On the utilizing of a known coefficient of kurtosis in estimation procedure of variance,Ann. Inst. Statist. Math.,25, 51–55.

    Article  MathSciNet  Google Scholar 

  13. Thompson, J. R. (1968). Some shrinkage technique for estimating the mean,J. Amer. Statist. Ass.,63, 113–122.

    Article  Google Scholar 

  14. Thompson, J. R. (1968). Accuracy borrowing in the estimation of the mean by shrinkage to an interval,J. Amer. Statist. Ass.,63, 953–963.

    Article  Google Scholar 

  15. Wilks, S. S. (1962).Mathematical Statistics, John Wiley & Sons, Inc., New York.

    MATH  Google Scholar 

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Additional information

This research was partially supported by the Sakkokai Foundation.

The Institute of Statistical Mathematics

An erratum to this article is available at http://dx.doi.org/10.1007/BF02853377.

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Hirano, K. Estimation procedures based on preliminary test, shrinkage technique and information criterion. Ann Inst Stat Math 29, 21–34 (1977). https://doi.org/10.1007/BF02532771

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