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Non singularity of the asymptotic Fisher information matrix in hidden Markov models

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arxiv math/0511631 v1 pith:SMHZRJXC submitted 2005-11-25 math.ST stat.TH

classification math.STstat.TH
keywords hiddenfisherinformationmarkovmatrixasymptoticconditionconsider
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In this paper, we consider a parametric hidden Markov model where the hidden state space is non necessarily finite. We provide a necessary and sufficient condition for the invertibility of the limiting Fisher information matrix.

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Cited by 1 Pith paper

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  1. A Statistical Test for Comparing the Linkage and Admixture Model Based on Central Limit Theorems

    math.ST 2025-09 reject novelty 5.0 of 10

    The paper claims to prove consistency and asymptotic normality of MLEs in the Linkage Model and to construct an asymptotic level-alpha likelihood-ratio test for Linkage versus Admixture models, but the proofs contain ...

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