A sufficient condition for admissibility in linear estimation
نویسندگان
چکیده
منابع مشابه
Sufficient conditions for admissibility
Sufficient conditions for the finite and infinite-time admissibility of an observation operator are given. It is shown that the estimates of Weiss are close to being sufficient. If the semigroup is surjective, then the estimate is sufficient.
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The proof of Farrell (1968. Ann. Math. Statist. 26 518-522) is adapted to the special problems presented by discrete problems. Continuity of the risk functions is veritied, sequential subcompactness is verified, and a necessary and sufficient condition for admissibility proven. In the discrete problems considered one obtains pointwise convergence of the sequence of Bayes estimators to the admis...
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Sufficient number of linear and noisy measurements for exact and approximate sparsity pattern/support set recovery in the high dimensional setting is derived. Although this problem as been addressed in the recent literature, there is still considerable gaps between those results and the exact limits of the perfect support set recovery. To reduce this gap, in this paper, the sufficient con...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1988
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1988.104310