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...
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ftdtic:AD0747977 2023-05-15T16:37:42+02:00 Estimation of a Linear Transformation. Gleser,Leon Jay Watson,Geoffrey S. PRINCETON UNIV N J DEPT OF STATISTICS 1972-08 text/html http://www.dtic.mil/docs/citations/AD0747977 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0747977 en eng http://www.dtic.mil/docs/citations/AD0747977 APPROVED FOR PUBLIC RELEASE DTIC AND NTIS Snow Ice and Permafrost Statistics and Probability (*STATISTICAL ANALYSIS DECISION THEORY) (*GLACIERS MOTION) MATHEMATICAL MODELS STATISTICAL DISTRIBUTIONS TRANSFORMATIONS(MATHEMATICS) RANDOM VARIABLES PROBABILITY MATRICES(MATHEMATICS) DEFORMATION SIMULATION MAXIMUM LIKELIHOOD ESTIMATION NORMAL DENSITY FUNCTIONS Text 1972 ftdtic 2016-02-19T02:00:04Z 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. Text Ice permafrost Defense Technical Information Center: DTIC Technical Reports database Eta ENVELOPE(-62.917,-62.917,-64.300,-64.300) |
institution |
Open Polar |
collection |
Defense Technical Information Center: DTIC Technical Reports database |
op_collection_id |
ftdtic |
language |
English |
topic |
Snow Ice and Permafrost Statistics and Probability (*STATISTICAL ANALYSIS DECISION THEORY) (*GLACIERS MOTION) MATHEMATICAL MODELS STATISTICAL DISTRIBUTIONS TRANSFORMATIONS(MATHEMATICS) RANDOM VARIABLES PROBABILITY MATRICES(MATHEMATICS) DEFORMATION SIMULATION MAXIMUM LIKELIHOOD ESTIMATION NORMAL DENSITY FUNCTIONS |
spellingShingle |
Snow Ice and Permafrost Statistics and Probability (*STATISTICAL ANALYSIS DECISION THEORY) (*GLACIERS MOTION) MATHEMATICAL MODELS STATISTICAL DISTRIBUTIONS TRANSFORMATIONS(MATHEMATICS) RANDOM VARIABLES PROBABILITY MATRICES(MATHEMATICS) DEFORMATION SIMULATION MAXIMUM LIKELIHOOD ESTIMATION NORMAL DENSITY FUNCTIONS Gleser,Leon Jay Watson,Geoffrey S. Estimation of a Linear Transformation. |
topic_facet |
Snow Ice and Permafrost Statistics and Probability (*STATISTICAL ANALYSIS DECISION THEORY) (*GLACIERS MOTION) MATHEMATICAL MODELS STATISTICAL DISTRIBUTIONS TRANSFORMATIONS(MATHEMATICS) RANDOM VARIABLES PROBABILITY MATRICES(MATHEMATICS) DEFORMATION SIMULATION MAXIMUM LIKELIHOOD ESTIMATION NORMAL DENSITY FUNCTIONS |
description |
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. |
author2 |
PRINCETON UNIV N J DEPT OF STATISTICS |
format |
Text |
author |
Gleser,Leon Jay Watson,Geoffrey S. |
author_facet |
Gleser,Leon Jay Watson,Geoffrey S. |
author_sort |
Gleser,Leon Jay |
title |
Estimation of a Linear Transformation. |
title_short |
Estimation of a Linear Transformation. |
title_full |
Estimation of a Linear Transformation. |
title_fullStr |
Estimation of a Linear Transformation. |
title_full_unstemmed |
Estimation of a Linear Transformation. |
title_sort |
estimation of a linear transformation. |
publishDate |
1972 |
url |
http://www.dtic.mil/docs/citations/AD0747977 http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0747977 |
long_lat |
ENVELOPE(-62.917,-62.917,-64.300,-64.300) |
geographic |
Eta |
geographic_facet |
Eta |
genre |
Ice permafrost |
genre_facet |
Ice permafrost |
op_source |
DTIC AND NTIS |
op_relation |
http://www.dtic.mil/docs/citations/AD0747977 |
op_rights |
APPROVED FOR PUBLIC RELEASE |
_version_ |
1766028008721743872 |