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Teor. Veroyatnost. i Primenen., 1972, Volume 17, Issue 2, Pages 360–365 (Mi tvp2592)  

Short Communications

Some statistical problems for quantum fields

A. S. Kholevo

Moscow

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.

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English version:
Theory of Probability and its Applications, 1973, 17:2, 347–351

Bibliographic databases:

Received: 20.05.1970

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://www.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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