65
Views
0
CrossRef citations to date
0
Altmetric
Articles

Estimation of parameters in the tree order restriction by a randomized decision

, &
Pages 1986-2005 | Received 07 Oct 2018, Accepted 08 Apr 2019, Published online: 18 Apr 2019

References

  • Robertson T, Wright FT, Dykstra RL. Order restricted statistical inference. New York: John Wiley; 1988.
  • Barlow RE, Bartholomew DJ, Bremner JM, Brunk HD. Statistical inference under order restrictions: the theory and application of isotonic regression. New York: Wiley; 1972.
  • Silvapulle MJ, Sen PK. Constrained statistical inference. Hoboken: John Wiley; 2005.
  • Lee CC. The quadratic loss of order restricted estimations for several treatment means and a control mean. Ann Stat. 1988;16:751–758.
  • Hwang JTG, Peddada SD. Confidence interval estimation subject to order restrictions. Ann Stat. 1994;22:67–93.
  • Lee CC. The quadratic loss of isotonic regression under normality. Ann Stat. 1981;11:467–477.
  • Cohen A, Sackrowitz HB. Inference for the model of several treatments and a control. J Stat Plan Inference. 2002;107:89–101.
  • Chaudhuri S, Perlman MD. On the bias and mean-square error of order-restricted maximum likelihood estimators. J Stat Plan Inference. 2005;130:229–250.
  • Betcher J, Peddada SD. Statistical inference under order restrictions in analysis of covariance using a modified restricted maximum likelihood estimator. Sankhya¯ Indian J Stat. 2009;71,B(Part I):79–96.
  • Tan X, Peddada SD. Asymptotic distribution of some estimators for parameters subject to order restrictions. Stat Appl. 2000;2:7–25.
  • Chaudhuri S, Drton M. On the bias and mean-square error of the sample minimum and the maximum likelihood estimator for two ordered normal means. Seattle: Department of statistics, University of Washington; 2003 (Technical report No. 432).
  • Berger JO. Statistical decision theory and Bayesian analysis. 2nd ed. New York: Springer; 1985.
  • Azzalini A. A class of distributions which includes the normal ones. Scand J Stat. 1985;12:171–178.
  • Lehmann EL, Casella G. Theory of point estimation. 2nd ed. Springer-Verlag New York, Inc; 1998.
  • Birnbaum ZW. On random variables with comparable peakedness. Ann Math Stat. 1948;19:76–81.

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.