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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 2, Pages 360–365 (Mi tvp2592)  

This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Some statistical problems for quantum fields

A. S. Kholevo

Moscow
Full-text PDF (395 kB) Citations (1)
Abstract: Some statistical results for quantum fields are obtained in the framework of algebraic approach to quantum theory. Linearity of optimal statistical procedures such as smoothing, predicting and mean estimation is established for Gaussian (quasi-free) states of Bose fields. It is shown that linear statistical problems for Bose fields lead to an integral equation, which is a regularization of the corresponding classical one.
Received: 20.05.1970
English version:
Theory of Probability and its Applications, 1973, Volume 17, Issue 2, Pages 347–351
DOI: https://doi.org/10.1137/1117038
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Kholevo, “Some statistical problems for quantum fields”, Teor. Veroyatnost. i Primenen., 17:2 (1972), 360–365; Theory Probab. Appl., 17:2 (1973), 347–351
Citation in format AMSBIB
\Bibitem{Hol72}
\by A.~S.~Kholevo
\paper Some statistical problems for quantum fields
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 2
\pages 360--365
\mathnet{http://mi.mathnet.ru/tvp2592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=299143}
\zmath{https://zbmath.org/?q=an:0253.60089}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 2
\pages 347--351
\crossref{https://doi.org/10.1137/1117038}
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  • https://www.mathnet.ru/eng/tvp/v17/i2/p360
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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