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Teor. Veroyatnost. i Primenen., 1963, Volume 8, Issue 3, Pages 264–281 (Mi tvp4674)  

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

On Discovering Disorder in a Manufacturing Process. I

A. N. Shiryaev

Moscow

Abstract: This paper deals with the application of Wald’s sequential analysis to the problem of locating the target (the disorder) that may appear with equal probability along any one of $N$ directions on the background of steady-state conditions of observation, in which the target is absent. An expression (3) is found for the mean delay time $\tau(\mathbf{T};N)$ for locating the target, which depends on the number of directions $N$ and the mean period $\mathbf{T}$ between two successive false alarms.

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English version:
Theory of Probability and its Applications, 1963, 8:3, 247–265

Received: 01.11.1961

Citation: A. N. Shiryaev, “On Discovering Disorder in a Manufacturing Process. I”, Teor. Veroyatnost. i Primenen., 8:3 (1963), 264–281; Theory Probab. Appl., 8:3 (1963), 247–265

Citation in format AMSBIB
\Bibitem{Shi63}
\by A.~N.~Shiryaev
\paper On Discovering Disorder in a Manufacturing Process.~I
\jour Teor. Veroyatnost. i Primenen.
\yr 1963
\vol 8
\issue 3
\pages 264--281
\mathnet{http://mi.mathnet.ru/tvp4674}
\transl
\jour Theory Probab. Appl.
\yr 1963
\vol 8
\issue 3
\pages 247--265
\crossref{https://doi.org/10.1137/1108029}


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    This publication is cited in the following articles:
    1. A. N. Shiryaev, “On Stochastic Models and Optimal Methods in the Quickest Detection Problems”, Theory Probab. Appl., 53:3 (2009), 385–401  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. Brodsky B., “Change-Point Analysis in Nonstationary Stochastic Models”, Change-Point Analysis in Nonstationary Stochastic Models, Crc Press-Taylor & Francis Group, 2017, 1–345  isi
  • Теория вероятностей и ее применения Theory of Probability and its Applications
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