Parameter estimation and reverse martingales (Q1272169)

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scientific article; zbMATH DE number 1226252
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Parameter estimation and reverse martingales
scientific article; zbMATH DE number 1226252

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    Parameter estimation and reverse martingales (English)
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    23 November 1998
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    The authors investigate identifiability properties of unknown parameters within the framework of transitive sufficient processes. They show that every unbiased estimator process is a reverse martingale, which immediately gives strong consistency results. Structural properties of unbiased estimators are also studied. A number of examples is given.
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    parameter estimation
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    reverse martingales martingale theory
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    diffusions
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    time reversal
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