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Probl. Peredachi Inf., 2003, Volume 39, Issue 4, Pages 41–62 (Mi ppi315)  

This article is cited in 2 scientific papers (total in 2 papers)

Methods of Signal Processing

On Some Singularities in Problems of Parameter Estimation

Sh. Amaria, M. V. Burnashevb

a RIKEN Brain Science Institute
b Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: Assume that there are two identical remote objects and we want to estimate the distance to the closest of them and the distance between objects. For that purpose, some device (like a radar) is used, and the observed signal is the sum of signals reflected by each object. Moreover, the observed signal is corrupted by white Gaussian noise. Singularity (i.e., very poor estimation accuracy) occurs in this problem if objects are very close to each other. Our aim is to demonstrate this inevitable singularity by the example of the maximum likelihood estimate and also to show that it takes place for any other estimate.

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English version:
Problems of Information Transmission, 2003, 39:4, 352–372

Bibliographic databases:

UDC: 621.391.1:519.2
Received: 17.12.2002

Citation: Sh. Amari, M. V. Burnashev, “On Some Singularities in Problems of Parameter Estimation”, Probl. Peredachi Inf., 39:4 (2003), 41–62; Problems Inform. Transmission, 39:4 (2003), 352–372

Citation in format AMSBIB
\Bibitem{AmaBur03}
\by Sh.~Amari, M.~V.~Burnashev
\paper On Some Singularities in Problems of Parameter Estimation
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 4
\pages 41--62
\mathnet{http://mi.mathnet.ru/ppi315}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2102719}
\zmath{https://zbmath.org/?q=an:1085.94005}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 4
\pages 352--372
\crossref{https://doi.org/10.1023/B:PRIT.0000011274.44405.9b}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Amari S., Burnashev M.V., “On some singularities in parameter estimation problems”, 2003 IEEE International Symposium on Information Theory - Proceedings, 2003, 229–229  crossref  zmath  isi
    2. Keemink S.W., Tailor D.V., van Rossum M.C.W., “Unconscious Biases in Neural Populations Coding Multiple Stimuli”, Neural Comput., 30:12 (2018), 3168–3188  crossref  mathscinet  isi  scopus
  • Проблемы передачи информации Problems of Information Transmission
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