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Teor. Veroyatnost. i Primenen., 1966, Volume 11, Issue 4, Pages 708–714 (Mi tvp671)  

Short Communications

An optimal one-impulse correction in a model

V. A. Ryasin

Moscow

Abstract: A rectilinear and uniform motion with an unknown random initial velocity is considered. The observer exactifies the trajectory of the motion by a finite set of trajectory measurements containing random errors. The terminal coordinates may be influenced by one and only one corrective impulse. We say that there is a success if the terminal coordinates of the trajectory belong to a fixed domain. A strategy is a rule which prescribes the time and the value of a corrective impulse to every sample of the trajectory measurements. A probability of “success” corresponds to every strategy. A strategy is constructed which maximizes this probability. There is a numerical example in the paper.

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English version:
Theory of Probability and its Applications, 1966, 11:4, 626–632

Bibliographic databases:

Received: 15.03.1966

Citation: V. A. Ryasin, “An optimal one-impulse correction in a model”, Teor. Veroyatnost. i Primenen., 11:4 (1966), 708–714; Theory Probab. Appl., 11:4 (1966), 626–632

Citation in format AMSBIB
\Bibitem{Rya66}
\by V.~A.~Ryasin
\paper An optimal one-impulse correction in a~model
\jour Teor. Veroyatnost. i Primenen.
\yr 1966
\vol 11
\issue 4
\pages 708--714
\mathnet{http://mi.mathnet.ru/tvp671}
\zmath{https://zbmath.org/?q=an:0199.23103}
\transl
\jour Theory Probab. Appl.
\yr 1966
\vol 11
\issue 4
\pages 626--632
\crossref{https://doi.org/10.1137/1111069}


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