Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 15, 1986 - Issue 11
Submit an article Journal homepage
59
Views
88
CrossRef citations to date
0
Altmetric
Original Articles

The pitman nearness criterion and its determination

C.R. Rao Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, Pennsylvania, 15260
,
I.P. Reating Division of Mathematics, University os Texas at San Autonio, San Antonio, Texas, 78285
&
Robert D. Mason Fuels and Lubricants Research Division, Southwest Research Institute, San Antonio, Texas, 78284
Pages 3173-3191 | Received 01 Dec 1985, Published online: 27 Jun 2007
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

A general method for determining Pitman Nearness is given In the case of univariate estimators. This method is then applied to some estimation problems. The concept of Pitman Nearness is also generalized to the multivariate case. The James-Stein estimators are used to illustrate the multivariate comparison.

*This author's work was supported by contract F4 9620-85-C-0008 under the auspices of the United States Air Force

*This author's work was supported by contract F4 9620-85-C-0008 under the auspices of the United States Air Force

Notes

*This author's work was supported by contract F4 9620-85-C-0008 under the auspices of the United States Air Force

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related Research Data

Banks' Criterion and Symmetric Stable Laws with Index of Stability between One-Half and One
Source: Allerton Press
On the inadmssibelity of ridge estimator in a linear model
Source: Informa UK Limited
Estimation of the largest location parameter of exponential distributions
Source: Informa UK Limited

Linking provided by 

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.