Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149774 | Journal of Statistical Planning and Inference | 2009 | 15 Pages |
Abstract
Procedures for simultaneous confidence bands are provided for bivariate regression data {x,Yx,x∈X}{x,Yx,x∈X}, where EYxEYx is an unknown monotonic function of x. A new bandwidth procedure is introduced which generalizes the previously introduced procedures of Korn [1982. Confidence bands for isotonic dose–response curves. Appl. Statist. 31, 59–63] and Lee [1996. On estimation for monotone dose–response curves. J. Amer. Statist. Assoc. 91, 1110–1119]. To gain insight into the comparability and applicability of these procedures a unifying geometric framework is used. This framework leads to certain optimality results for these banding procedures and allows for extensions to settings that have not been previously considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Allan R. Sampson, Harshinder Singh, Lyn R. Whitaker,