50
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

On Empirical Bayes Testing for a Location Parameter in a Shifted Gamma Distribution

Pages 123-138 | Published online: 02 Sep 2006

References

  • Balakrishnan , N. and Ma , Y. 2001 . “ Empirical Bayes estimation and testing for a location parameter family of gamma distributions ” . In Advances on Theoretical and Methodological Aspects of Probability and Statistics Edited by: Balakrishnan , N. 317 – 329 . Amsterdam, , The Netherland : Gordon and Breach .
  • Fox , R. 1978 . Solutions to empirical Bayes squared error loss estimation problems . Ann. Statist. , 6 : 846 – 853 .
  • Huang , S. Y. 1995 . Empirical Bayes testing procedures in some nonexponential families using asymmetric linex loss function . J. Statist. Plann. Inference , 46 : 293 – 309 .
  • Johns , M. V. and Van Ryzin , J. 1972 . Convergence rates for empirical Bayes two-action problem II. Continuous case . Ann. Math. Statist. , 43 : 934 – 947 .
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1994 . Continuous Univariate Distributions, , 2nd ed. Vol. 1 , New York : John Wiley & Sons. .
  • Nogami , Y. 1988 . Convergence rates for empirical Bayes estimation in the uniform U(0,  θ) distribution . Ann. Statist. , 16 : 1335 – 1341 .
  • Robbins , H. 1956 . “ An empirical Bayes approach to statistics ” . In Proc. Third Berkeley Symp. Math. Statist. and Probab. Vol. 1 , 157 – 163 . Berkeley, CA : University of California Press .
  • Robbins , H. 1964 . The empirical Bayes approach to statistical decision problems . Ann. Math. Statist. , 35 : 1 – 10 .
  • Shorack , G. R. and Wellner , J. A. 1986 . Empirical Processes with Applications to Statistics New York : John Wiley .
  • Singh , R. S. 1979 . Empirical Bayes estimation in lebesgue exponential families with rates near the best possible rate . Ann. Statist. , 7 : 890 – 902 .
  • Singh , R. S. 1995 . Empirical Bayes linear loss hypothesis testing in a non-regular exponential family . J. Statist. Plann. Inference , 43 : 107 – 120 .
  • Singh , R. S. and Wei , L. 1992 . Empirical Bayes with rates and best rates of convergence in -family: estimation case . Ann. Inst. Statist. Math. , 44 : 435 – 449 .
  • Van Houwelingen , J. C. 1976 . Monotone empirical Bayes tests for the continuous one-parameter exponential family . Ann. Statist. , 4 : 981 – 989 .
  • Van Houwelingen , J. C. 1987 . Monotone empirical Bayes test for uniform distribution using the maximum likelihood estimator of a decreasing density . Ann. Statist. , 15 : 875 – 879 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.