Advanced Search
MyIDEAS: Login to save this article or follow this journal

Likelihood ratio test for the spacing between two adjacent location parameters

Contents:

Author Info

  • Yu, Philip L. H.
  • Lam, K.

Abstract

Suppose Yi is an estimator or sufficient statistic for a location parameter [theta]i (i = 1,...,k) of a location family. Let [theta](1) [less-than-or-equals, slant] 0(2) [less-than-or-equals, slant] ··· [less-than-or-equals, slant] [theta](k) be the ordered parameters. This paper deals with the likelihood ratio test for the hypothesis H0: [theta](k-t+1) - [theta](k-t) [less-than-or-equals, slant] [Delta] versus H1: [theta](k-t+1) - [theta](k-t) > [Delta], where [theta](k-t+1) - [theta](k-t) is the spacing between two adjacent location parameters. It is shown that if the density function of the location family has monotone likelihood ratio, the likelihood ratio test statistic is the corresponding sample spacing. However, this result may not be true for other spacings like the range [theta](k) - [theta](1).

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.sciencedirect.com/science/article/B6V1D-3VSCRK7-1H/2/ca99f9b694ec7d187d15e391292f9620
Download Restriction: Full text for ScienceDirect subscribers only

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 26 (1996)
Issue (Month): 1 (January)
Pages: 43-49

as in new window
Handle: RePEc:eee:stapro:v:26:y:1996:i:1:p:43-49

Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description

Order Information:
Postal: http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
Web: https://shop.elsevier.com/order?id=505573&ref=505573_01_ooc_1&version=01

Related research

Keywords: Likelihood ratio test Monotone likelihood ratio Ranked parameters Location parameters Spacing;

References

No references listed on IDEAS
You can help add them by filling out this form.

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:eee:stapro:v:26:y:1996:i:1:p:43-49. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.