Greatest lower bounds of system failure probability on a time interval under incomplete information about the distribution function of time to failure

DOI10.1007/s10559-016-9892-4zbMath1354.93147OpenAlexW2602885532MaRDI QIDQ508573

L. S. Stoikova, S. N. Krasnikov

Publication date: 7 February 2017

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-016-9892-4

zbMATH Keywords

extremum of a linear functionalpartition of the domain of parametersunimodal distribution function with mode \(m\) and fixed two first moments

Mathematics Subject Classification ID

Stochastic systems in control theory (general) (93E03) Distribution theory (60E99)

Related Items (3)

Influence of Boris V. Gnedenko's probabilistic-statistical school on the development of cybernetics and informatics ⋮ Greatest lower bounds of system failure probability on a time interval under incomplete information about the distribution function of time to failure ⋮ Greatest lower bound of system failure probability on a special time interval under incomplete information about the distribution function of the time to failure of the system

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• Greatest lower bounds of system failure probability in a time interval under incomplete information about the distribution function of the time to failure
• Exact upper bounds of the probability of failure in a time interval in the case of incomplete information on the distribution function
• On Generalizations of Tchebychef's Inequality
• The Moment Problem for Unimodal Distributions

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