Directed likelihood ratio tests for ordered alternatives and inference results for the star-shaped restriction

  • Cohen A
  • Sackrowitz H
  • 3


    Mendeley users who have this article in their library.
  • 1


    Citations of this article.


To test a null hypothesis of homogeneity of parameters versus an order restricted alternative a popular method is to use a restricted likelihood ratio test. An alternative approach which oftentimes has desirable properties is a directed likelihood ratio test. In this paper, we give sufficient conditions under which these approaches coincide. We indicate cases where they do not coincide. One such case is where the parameters satisfy the lower star-shaped restriction and the underlying random variables are independent with Poisson distributions. For this model, we study and prefer the directed likelihood ratio test. We also propose estimators of the parameters which we feel are more desirable than the maximum likelihood estimators. © 2002 Elsevier Science B.V. All rights reserved.

Author-supplied keywords

  • Cone order monotonicity
  • Maximum likelihood estimators
  • Order restricted inference
  • Preservation of order
  • Projections

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Arthur Cohen

  • H. B. Sackrowitz

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free