Advanced search
Publication Cover
Journal of Computational and Graphical Statistics Volume 13, 2004 - Issue 2
Submit an article Journal homepage
55
Views
11
CrossRef citations to date
0
Altmetric
Primary Article

Confidence Bands for Isotonic Median Curves Using Sign Tests

Lutz Dümbgen Lutz Dümbgen is Professor, Department of Mathematical Statistics and Actuarial Science, University of Berne, Sidlerstrasse 5, CH-3012 Bern, Switzerland . Robert B. Johns is Lieutenant, United States Navy . This work started while both authors worked and studied at Heidelberg University.
&
Robert B Johns Lutz Dümbgen is Professor, Department of Mathematical Statistics and Actuarial Science, University of Berne, Sidlerstrasse 5, CH-3012 Bern, Switzerland . Robert B. Johns is Lieutenant, United States Navy . This work started while both authors worked and studied at Heidelberg University.
Pages 519-533 | Published online: 01 Jan 2012
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

Suppose that one observes independent random variables (X1, Y1), (X2, Y2), …, (Xn, Yn) in R2 with unknown distributions, except that Median(Yi | Xi = M(x) for some unknown isotonic function M. We describe an explicit algorithm for the computation of confidence bands for the median function M whose running time is of order O(n2). The bands rely on multiscale sign tests and are shown to have desirable asymptotic properties.

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

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.