Estimation of a Linear Transformation.
The problem which suggested this study arose in glaciology. Markers were placed in a glacier at points (xi sub c) and their positions, as measured by surveying techniques, were recorded at x sub i. Several years later a new survey was made by the same method yielding measurements y sub i of the true...
Main Authors: | , |
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Other Authors: | |
Format: | Text |
Language: | English |
Published: |
1972
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Subjects: | |
Online Access: | http://www.dtic.mil/docs/citations/AD0747977 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0747977 |
Summary: | The problem which suggested this study arose in glaciology. Markers were placed in a glacier at points (xi sub c) and their positions, as measured by surveying techniques, were recorded at x sub i. Several years later a new survey was made by the same method yielding measurements y sub i of the true positions eta sub i. It was assumed that eta sub i = B(xi sub i) where the matrix B describing the deformation of the glacier is the object of interest. It seemed reasonable to assume a multivariate normal distribution for the errors on both occasions with a covariance matrix (sigma squared) E, with E known and so the problem can be transformed to make E = I. This paper deals with this problem where the vectors are p dimensional. |
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