Lévy homeomorphic parametrization and exponential families |
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Authors: | Ole Barndorff-Nielsen |
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Institution: | (1) Matematisk Institut, Aarhus Universite, Ny Munkegade, 8000 Aarhus C, Danmark |
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Abstract: | Summary Let P={P
: } be an exponential family of probability distributions with the canonical parameter and consider the one to one mapping : P
. It is shown that, under mild regularity assumptions, and
–1 are continuous with respect to the Lévy metric in P and Euclidean metric in . |
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Keywords: | |
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