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Decomposition and Invariance of Measures, and Statistical Transformation Models (Paperback, Softcover reprint of the original 1st ed. 1989)
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Decomposition and Invariance of Measures, and Statistical Transformation Models (Paperback, Softcover reprint of the original 1st ed. 1989)
Series: Lecture Notes in Statistics, 58
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The present set of notes grew out of our interest in the study of
statistical transformation models, in particular exponential
transfor- mation models. The latter class comprises as special
cases all fully tractable models for mUltivariate normal
observations. The theory of decomposition and invariance of
measures provides essential tools for the study of transformation
models. While the major aspects of that theory are treated in a
number of mathematical monographs, mostly as part of much broader
contexts, we have found no single account in the literature which
is sufficiently comprehensive for statistical pur- poses. This
volume aims to fill the gap and to indicate the usefulness of
measure decomposition and invariance theory for the methodology of
statistical transformation models. In the course of the work with
these notes we have benefitted much from discussions with steen
Arne Andersson, J0rgen Hoffmann-J0rgensen and J0rgen Granfeldt
Petersen. We are also very indebted to Jette Ham- borg and Oddbj0rg
Wethelund for their eminent secretarial assistance.
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