On some singularities in parameter estimation problems

Shun Ichi Amari; Marat V. Burnashev

doi:10.1109/isit.2003.1228243

On some singularities in parameter estimation problems

Shun Ichi Amari
, Marat V. Burnashev

RIKEN
Russian Academy of Sciences

研究成果: ジャーナルへの寄稿 › 会議記事 › 査読

1 被引用数 (Scopus)

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Assume that there are two identical remote objects and we want to estimate the distance to the closest of them and the distance between the objects. For that purpose a "radar" - like device is used, and the signal observed is the sum of signals reflected by each object, corrupted by white Gaussian noise. Singularity (i.e. very poor performance of any estimate) in this problem will occur if objects are very close to each other. We demonstrate this inherited singularity on the example of the ML-estimate.

本文言語	英語
ページ（範囲）	229
ページ数	1
ジャーナル	IEEE International Symposium on Information Theory - Proceedings
DOI	https://doi.org/10.1109/isit.2003.1228243
出版ステータス	出版済み - 2003
外部発表	はい
イベント	Proceedings 2003 IEEE International Symposium on Information Theory (ISIT) - Yokohama, 日本継続期間: 29 6月 2003 → 4 7月 2003

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10.1109/isit.2003.1228243

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AB - Assume that there are two identical remote objects and we want to estimate the distance to the closest of them and the distance between the objects. For that purpose a "radar" - like device is used, and the signal observed is the sum of signals reflected by each object, corrupted by white Gaussian noise. Singularity (i.e. very poor performance of any estimate) in this problem will occur if objects are very close to each other. We demonstrate this inherited singularity on the example of the ML-estimate.

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M3 - 会議記事

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On some singularities in parameter estimation problems

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