Law equivalence of stochastic linear systems (Q1292780)

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scientific article; zbMATH DE number 1321883
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Law equivalence of stochastic linear systems
scientific article; zbMATH DE number 1321883

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    Law equivalence of stochastic linear systems (English)
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    4 April 2000
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    A necessary and sufficient condition for the mutual absolute continuity of two linear stochastic systems is given. The problem of the mutual absolute continuity of laws of partially observed Ornstein-Uhlenbeck processes is studied. There are given and proved two theorems and several lemmas relying on constant variation and Itô's formula connected with such systems.
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    linear stochastic systems
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    Itô's formula
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    equivalence in law
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