Open Access
December 1995 How reliable are contour curves? Confidence sets for level contours
Georg Lindgren, Igor Rychlik
Bernoulli 1(4): 301-319 (December 1995). DOI: 10.3150/bj/1193758708


We present a method to add confidence limits to level curves, drawn on a map of a Gaussian random surface, measured with or without error on a regular or irregular grid. The method is based on the conditional level crossing intensity measure for non-stationary Gaussian fields.


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Georg Lindgren. Igor Rychlik. "How reliable are contour curves? Confidence sets for level contours." Bernoulli 1 (4) 301 - 319, December 1995.


Published: December 1995
First available in Project Euclid: 30 October 2007

zbMATH: 0841.62082
MathSciNet: MR1369163
Digital Object Identifier: 10.3150/bj/1193758708

Keywords: first passage density , Gaussian field , level crossings , Random field , Rice's formula , surface reconstruction

Rights: Copyright © 1995 Bernoulli Society for Mathematical Statistics and Probability

Vol.1 • No. 4 • December 1995
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