Article ID Journal Published Year Pages File Type
1149774 Journal of Statistical Planning and Inference 2009 15 Pages PDF
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
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