JSM 2004 - Toronto

Abstract #300147

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Activity Number: 287
Type: Invited
Date/Time: Wednesday, August 11, 2004 : 8:30 AM to 10:20 AM
Sponsor: Environmental and Ecological Statistics
Abstract - #300147
Title: Biostochastics for Remote Sensing of the Environment with Applications
Author(s): Bo Ranneby*+ and J. Yu and M. Ekstrom
Companies: Swedish University of Agricultural Sciences and Swedish University of Agricultural Sciences and Swedish University of Agricultural Sciences
Address: Centre of Biostochastics, Umea, SE-90183, Sweden
Keywords: Gibbs sampler ; probabilistic classifiers ; quality assessment ; resampling ; wavelet transforms
Abstract:

Questions related to environmental health call for a new generation of statistical tools. We describe some statistical methods that are applicable under nonstandard conditions that frequently arise in environmental problems and in remote sensing applications. Error rates of traditional remote sensing classification methods are usually quite high but can be improved by (1) denoising the images using wavelet transforms, (2) using the Gibbs sampler for reclassification, and (3) applying new classification algorithms such as probabilistic classifiers. These classifiers can be used for quality assessments at the pixel level. Resampling of blocks is used for accuracy assessments. An example is determining the total volume of dead wood over some region. Estimates are obtained by summing the predicted volumes over all pixels. A nonparametric method that estimates the variance and the distribution for estimators of this kind has been developed; the approach allows for spatial dependence and for nonstationarity. Consistent variance estimators for totals and functions of totals, e.g. ratio-estimators, together with convergence rates are provided.


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